TF_math_statistics_autumn_sale2018

TAYLOR & FRANCIS

Mathematics and Statistics Autumn offer

15% off until 31/12/18

All titles available at a 15% discount for a limited time

www.taylorandfrancis.com

Welcome Taylor & Francis are delighted to offer 150 titles at 15% off their current published price in the subject areas of Mathematics and Statistics from the 1st of October to the 31st of December 2018.

To take advantage of this offer all orders must be placed by the 31st December 2018.

For more information or to place an order, please contact your local sales representative.

Prices, publication dates and content are correct at time of going to press, but may be subject to change without notice.

Contents Mathematics ....................................................................................................................................................................... 2 Statistics ............................................................................................................................................................................ 14 Index ................................................................................................................................................................................... 31

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MATHEMATICS Dummy text to keep placeholder

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A Practical Guide to Geometric Regulation for Distributed Parameter Systems

Analysis with Ultrasmall Numbers

Eugenio Aulisa, Texas Tech University, Lubbock, USA and David Gilliam, Texas Tech University, Lubbock, USA Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics This book provides an introduction to geometric control design methodologies for asymptotic tracking and disturbance rejection of infinite dimensional systems. It also introduces several new control algorithms inspired by geometric invariance and asymptotic attraction for a wide range of dynamical control systems. The book covers the regulation of both linear and nonlinear systems and offers an extensive collection of both types of problems.

Chapman and Hall/CRC Market: Mathematics June 2015: 235 x 156: 294pp Hb: 978-1-482-24013-9: £75.99 Special price: £65.00 eBook: 978-1-482-24014-6 * For full contents and more information, visit: www.crcpress.com/9781482240139

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Accelerating MATLAB Performance 1001 tips to speed up MATLAB programs Yair M. Altman, Ganey Tivka, Israel This book describes MATLAB performance in a scale and depth never before published. It takes a comprehensive approach to MATLAB performance, illustrating numerous ways to attain the desired speedup. The book explains how to profile MATLAB code to identify performance hotspots and discusses various tradeoffs in MATLAB performance tuning. It covers vectorization, parallelization, distributed computing, caching, optimization, memory management, GUI, graphics, and I/O. The book includes numerous code examples and online references, and is supported by an active website.

Chapman and Hall/CRC Market: Mathematics December 2014: 254 x 178: 785pp Hb: 978-1-482-21129-0: £75.99 Special price: £65.00 eBook: 978-1-482-21130-6 * For full contents and more information, visit: www.crcpress.com/9781482211290

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Algebraic Operads An Algorithmic Companion Murray R. Bremner and Vladimir Dotsenko This bookpresents a systematic treatment of Gröbner bases in several contexts. The book builds up to the theory of Gröbner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra. Throughout the book, both the mathematical theory and computational methods are emphasized and numerous algorithms, examples, and exercises are provided to clarify and illustrate the concrete meaning of abstract theory.

Chapman and Hall/CRC Market: Mathematics April 2016: 235 x 156: 365pp Hb: 978-1-482-24856-2: £98.99 Special price: £84.00 eBook: 978-1-482-24857-9 * For full contents and more information, visit: www.crcpress.com/9781482248562

Karel Hrbacek, City College of New York, USA, Olivier Lessmann, College Rousseau, Genieve and Richard O'Donovan, CEC Andre-Charanne, Genieve Series: Textbooks in Mathematics This text presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon–delta methods. Readers can fully prove fundamental results, such as the Extreme Value Theorem, from the axioms immediately, without needing to master notions of supremum or compactness. The book includes numerous exercises throughout and at the end of each chapter.

Chapman and Hall/CRC Market: Mathematics December 2014: 235 x 156: 316pp Hb: 978-1-498-70265-2: £59.99 Special price: £51.00 eBook: 978-1-498-70266-9 * For full contents and more information, visit: www.crcpress.com/9781498702652

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Approximate Analytical Methods for Solving Ordinary Differential Equations T.S.L Radhika, T. K.V. Iyengar and T. Raja Rani, Higher College of Technology, Oman This is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles. The book covers both well-established techniques and recently developed procedures, including the classical series solution method, diverse perturbation methods, pioneering asymptotic methods, and the latest homotopy methods. It gives a complete description of the methods without going deep into rigorous mathematical aspects. Detailed examples illustrate the application of the methods to solve real-world problems.

Chapman and Hall/CRC Market: Mathematics November 2014: 235 x 156: 200pp Hb: 978-1-466-58815-8: £68.99 Special price: £59.00 eBook: 978-1-466-58816-5 * For full contents and more information, visit: www.crcpress.com/9781466588158

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Background and Recent Developments of Metric Fixed Point Theory Edited by Dhananjay Gopal, Poom Kumam and Mujahid Abbas This book focusing on Metric fixed point theory is designed to provide an extensive understanding of the topic with the latest updates. It provides a good source of references, open questions and new approaches. While the book is principally addressed to graduate students, it is also intended to be useful to mathematicians, both pure and applied.

Chapman and Hall/CRC Market: Mathematics December 2017: 235 x 156: 262pp Hb: 978-0-815-36945-5: £100.00 Special price: £85.00 eBook: 978-1-351-24337-7 * For full contents and more information, visit: www.crcpress.com/9780815369455

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MATHEMATICS Dummy text to keep placeholder

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Beyond First Order Model Theory

Computation with Linear Algebraic Groups

Edited by Jose Iovino

Willem Adriaan de Graaf, University of Trento, ITALY Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students as well as senior researchers.

Chapman and Hall/CRC Market: Mathematics August 2017: 235 x 156: 427pp Hb: 978-1-498-75397-5: £77.00 Special price: £65.00 eBook: 978-1-315-36807-8 * For full contents and more information, visit: www.crcpress.com/9781498753975

Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms.

Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in algebraic groups, computational algebraic geometry, and computational group theory, as well as those looking for a concise introduction to the theory of linear algebraic groups.

Chapman and Hall/CRC Market: Mathematics August 2017: 235 x 156: 324pp Hb: 978-1-498-72290-2: £69.99 Special price: £59.00 eBook: 978-1-315-12014-0 * For full contents and more information, visit: www.crcpress.com/9781498722902

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2nd Edition

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

Computational Aspects of Polynomial Identities Volume l, Kemer's Theorems

Victor A. Galaktionov, University of Bath, UK, Enzo L. Mitidieri, Uni. degli Studi di Trieste and Stanislav I. Pohozaev, Steklov Institute of Mathematics, Moscow, Russia Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Alexei Kanel-Belov, Bar-Ilan University, Israel, Yakov Karasik, Technion, Israel and Louis Halle Rowen, Bar-Ilan University, Israel Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

This book shows how four types of higher-order nonlinear evolution PDEs have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs, describe many properties of the equations, and examine traditional questions of existence/nonexistence, uniqueness/nonuniqueness, global asymptotics, regularizations, shock-wave theory, and various blow-up singularities. The book illustrates how complex PDEs are used in a variety of applications and describes new nonlinear phenomena for the equations.

This edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. It gives all the details involved in Kemer’s proof of Specht’s conjecture for affine PI-algebras in characteristic 0.

This edition presents a tighter formulation of Zubrilin’s theory and contains a more direct proof of the Wehrfritz–Beidar theorem. It also adds more details to the proof of Kemer’s difficult PI-representability theorem and develops several newer techniques, such as the "pumping procedure."

Chapman and Hall/CRC Market: Mathematics September 2014: 235 x 156: 569pp Hb: 978-1-482-25172-2: £115.00 Special price: £98.00 eBook: 978-1-482-25173-9 * For full contents and more information, visit: www.crcpress.com/9781482251722

Chapman and Hall/CRC Market: Mathematics October 2015: 235 x 156: 418pp Hb: 978-1-498-72008-3: £91.99 Special price: £78.00 eBook: 978-1-498-72009-0 * For full contents and more information, visit: www.crcpress.com/9781498720083

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Bounds for Determinants of Linear Operators and their Applications

CounterExamples From Elementary Calculus to the Beginnings of Analysis

Michael Gil', Ben Gurion University of the Negev, Israel Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Andrei Bourchtein, Pelotas State University, Brazil and Ludmila Bourchtein, Pelotas State University, Brazil Series: Textbooks in Mathematics

This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and discuss applications of our theoretical results to spectrum perturbations, matrix equations, two parameter eigenvalue problems, as well as to differential, difference and functional-differential equations.

This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to reveal common errors in many examples. It is intended for students who are interested in developing a deeper understanding of the topics of calculus. The gathered counterexamples may also be used by calculus instructors in their classes.

Chapman and Hall/CRC Market: Mathematics February 2017: 235 x 156: 224pp Hb: 978-1-498-79690-3: £85.99 Special price: £73.00 eBook: 978-1-315-15623-1 * For full contents and more information, visit: www.crcpress.com/9781498796903

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Chapman and Hall/CRC Market: Mathematics September 2014: 235 x 156: 362pp Hb: 978-1-482-24667-4: £67.99 Special price: £58.00 eBook: 978-1-482-24668-1 * For full contents and more information, visit: www.crcpress.com/9781482246674

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MATHEMATICS 3rd Edition

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CRC Standard Curves and Surfaces with Mathematica

Crossing Numbers of Graphs Marcus Schaefer, DePaul University, Chicago, Illinois, USA Series: Discrete Mathematics and Its Applications

David H. von Seggern Series: Advances in Applied Mathematics CRC Standard Curves and Surfaces with Mathematica, Third Edition is a virtual encyclopedia of curves and functions that depicts nearly all of the standard mathematical functions and geometrical figures in use today. Presenting a new chapter on Laplace transforms, this edition introduces new curves and surfaces in almost every chapter and contains several chapters that have been reorganized. It also provides better graphical representations for many curves and surfaces throughout. The book presents a comprehensive collection of nearly 1,000 illustrations of curves and surfaces often used or encountered in mathematics, graphics design, science, and engineering fields.

Chapman and Hall/CRC Market: Mathematics May 2016: 254 x 178: 460pp Hb: 978-1-482-25021-3: £64.99 Special price: £55.00 eBook: 978-1-482-25022-0 Prev. Ed Hb: 978-1-584-88599-3 * For full contents and more information, visit: www.crcpress.com/9781482250213

Crossing Numbers of Graphs is the first book devoted to the crossing number, an increasingly popular object of study with surprising connections. The field has matured into a large body of work, which includes identifiable core results and techniques.

The book presents a wide variety of ideas and techniques in topological graph theory, discrete geometry, and computer science.

CRC Press Market: Mathematics December 2017: 235 x 156: 350pp Hb: 978-1-498-75049-3: £77.00 Special price: £65.00 eBook: 978-1-498-75050-9 * For full contents and more information, visit: www.crcpress.com/9781498750493

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33rd Edition

CRC Standard Mathematical Tables and Formulas Edited by Daniel Zwillinger Series: Advances in Applied Mathematics Containing more than 6,000 entries, CRC Standard Mathematical rd Tables and Formulas, 33 Edition continues to provide essential formulas, tables, figures and detailed descriptions. The newest edition of this popular series also features many diagrams, group tables, and integrals that are not available online.

This edition also incorporates important topics such as max plus algebra, financial options, pseudospectra, and proof methods.

Newly updated topics reflecting new results include coupled analogues, general relativity, radar, and significant equations of mathematics.

Chapman and Hall/CRC Market: Mathematics January 2018: 254 x 178: 872pp Hb: 978-1-498-77780-3: £77.00 Special price: £65.00 eBook: 978-1-315-15497-8 Prev. Ed Hb: 978-1-439-83548-7 * For full contents and more information, visit: www.crcpress.com/9781498777803

2nd Edition

Crocheting Adventures with Hyperbolic Planes Tactile Mathematics, Art and Craft for all to Explore Daina Taimina Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries covers early development of geometry and connections between geometry, art, nature, and science. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.

CRC Press Market: Mathematics March 2018: 254 x 203: 200pp Hb: 978-1-138-30115-3: £38.99 Special price: £33.00 eBook: 978-0-203-73273-1 Prev. Ed Hb: 978-1-568-81452-0 * For full contents and more information, visit: www.crcpress.com/9781138301153

Delay Differential Evolutions Subjected to Nonlocal Initial Conditions Monica-Dana Burlică, Mihai Necula, Daniela Roșu and Ioan I. Vrabie Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics Filling a gap in the literature, this book reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs). It presents very recent results relating to the existence, boundedness, regularity, and asymptotic behavior of global solutions for differential equations and inclusions, with or without delay, subjected to nonlocal implicit initial conditions. The book develops state-of-the-art mathematical models in various settings, presents an accurate historical perspective on the ideas and results, and contains illustrative examples.

Chapman and Hall/CRC Market: Mathematics June 2016: 235 x 156: 362pp Hb: 978-1-498-74644-1: £70.99 Special price: £60.00 eBook: 978-1-498-74646-5 * For full contents and more information, visit: www.crcpress.com/9781498746441

2nd Edition

Dictionary of Inequalities Peter Bullen, University of British Columbia, Vancouver, Canada Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics Adding new results that have appeared in the last 15 years, this second edition provides an easy way for researchers to locate an inequality by name or subject. This edition offers an up-to-date, alphabetical listing of each inequality with a short statement of the result, some comments, references to related inequalities, and sources of information on proofs and other details. It includes more than 100 new inequalities, a new name index, and an updated bibliography that contains URLs for important references.

Chapman and Hall/CRC Market: Mathematics June 2015: 235 x 156: 405pp Hb: 978-1-482-23761-0: £83.99 Special price: £71.00 eBook: 978-1-482-23762-7 Prev. Ed Hb: 978-0-582-32748-1 * For full contents and more information, visit: www.crcpress.com/9781482237610

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MATHEMATICS 3rd Edition

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Difference Equations

Geometric Modeling and Mesh Generation from Scanned Images

Theory, Applications and Advanced Topics Ronald E. Mickens, Clark Atlanta University, SW Atlanta, Georgia, USA Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Yongjie Jessica Zhang, Carnegie Mellon University, Pittsburgh, Pennsylvania, USA Series: Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series

This book provides a broad introduction to the mathematics of difference equations and their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with more problems and an expanded bibliography, this edition includes two new chapters on special topics (such as discrete Cauchy–Euler equations) and the application of difference equations to complex problems arising in the mathematical modeling of phenomena in engineering and the natural and social sciences.

Based on the author’s recent research and course at Carnegie Mellon University, this book shows how to integrate image processing, geometric modeling, and mesh generation with the finite element method to solve problems in computational biology, medicine, materials science, and engineering. The text explains the fundamentals of medical imaging, image processing, computational geometry, mesh generation, visualization, and finite element analysis. It also explores novel and advanced applications in computational biology, medicine, materials science, and other engineering areas.

Chapman and Hall/CRC Market: Mathematics March 2015: 235 x 156: 555pp Hb: 978-1-482-23078-9: £140.00 Special price: £119.00 eBook: 978-1-482-23079-6 * For full contents and more information, visit: www.crcpress.com/9781482230789

Chapman and Hall/CRC Market: Mathematics April 2016: 235 x 156: 354pp Hb: 978-1-482-22776-5: £98.99 Special price: £84.00 eBook: 978-1-482-22777-2 * For full contents and more information, visit: www.crcpress.com/9781482227765

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Elements of Quasigroup Theory and Applications Victor Shcherbacov Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes.

Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical literature. In addition, many of the achievements obtained with regard to applications of quasigroups in coding theory and cryptology are described.

Chapman and Hall/CRC Market: Mathematics March 2017: 254 x 178: 576pp Hb: 978-1-498-72155-4: £115.00 Special price: £98.00 eBook: 978-1-315-12005-8 * For full contents and more information, visit: www.crcpress.com/9781498721554

Graph Polynomials Edited by Yongtang Shi, Nankai University, Tianjin, People's Republic of China, Matthias Dehmer, UMIT, Hall in Tirol, Austria, Xueliang Li, Nankai University, Tianjin, People's Republic of China and Ivan Gutman, University of Kragujevac, Serbia Series: Discrete Mathematics and Its Applications This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines.

Chapman and Hall/CRC Market: Mathematics December 2016: 254 x 178: 252pp Hb: 978-1-498-75590-0: £98.99 Special price: £84.00 eBook: 978-1-315-36799-6 * For full contents and more information, visit: www.crcpress.com/9781498755900

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Fast Solvers for Mesh-Based Computations

Graph Searching Games and Probabilistic Methods

Maciej Paszynski, Dept of Computer Science, Electronics and Telecommunications, AGH University of Science and Technology Series: Advances in Applied Mathematics

Anthony Bonato and Pawel Pralat Series: Discrete Mathematics and Its Applications

Based on more than 10 years of the author’s experience in the area, this book targets researchers and graduate students who would like to learn how to design and implement parallel direct solvers for mesh-based computations. It presents an alternative way of constructing multi-frontal direct solver algorithms for mesh-based computations. The construction of the solver algorithm is based on the additional available knowledge concerning the structure of the computational mesh. Each chapter also derives the complete JAVA or Fortran code of the parallel sparse direct solver.

Graph Searching Games and Probabilistic Methods is the first book that focuses on the intersection of graph searching games and probabilistic methods. The book explores various applications of these powerful mathematical tools to games and processes such as Cops and Robbers, Zombie and Survivors, and Firefighting.

Written in an engaging style, the book is accessible to a wide audience including mathematicians and computer scientists.

Readers will find that the book provides state-of-the-art results, techniques, and directions in graph searching games, especially from the point of view of probabilistic methods.

CRC Press Market: Mathematics December 2015: 254 x 178: 309pp Hb: 978-1-498-75419-4: £68.99 Special price: £59.00 eBook: 978-1-498-75420-0 * For full contents and more information, visit: www.crcpress.com/9781498754194

Chapman and Hall/CRC Market: Mathematics December 2017: 235 x 156: 346pp Hb: 978-1-138-62716-1: £77.00 Special price: £65.00 eBook: 978-1-315-21213-5 * For full contents and more information, visit: www.crcpress.com/9781138627161

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3rd Edition

Group Theoretic Cryptography

Handbook of Discrete and Computational Geometry

Maria Isabel González Vasco, Universidad Rey Juan Carlos, Madrid, Spain and Rainer Steinwandt, Florida Atlantic University, Boca Raton, FL Series: Chapman & Hall/CRC Cryptography and Network Security Series Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using groups, including in particular non-Abelian groups, in the field of cryptography. It provides an introduction to cryptography with emphasis on the group theoretic perspective, making it one of the first books to use this approach. The authors provide the needed cryptographic and group theoretic concepts, full proofs of essential theorems, and formal security evaluations of the cryptographic schemes presented.

Chapman and Hall/CRC Market: Mathematics April 2015: 235 x 156: 244pp Hb: 978-1-584-88836-9: £75.99 Special price: £64.00 eBook: 978-1-584-88837-6 * For full contents and more information, visit: www.crcpress.com/9781584888369

Edited by Csaba D. Toth, Joseph O'Rourke, Smith College, Northampton, Massachusetts, USA and Jacob E. Goodman, City College, New York, New York, USA Series: Discrete Mathematics and Its Applications While much information can be found on discrete and computational geometry, it is scattered among many sources.

The Handbook of Discrete and Computational Geometry, Third Edition brings together all of the major results in both these fields into one volume. Thousands of results, theorems, algorithms, and tables definitively cover the field, while numerous applications from many different fields demonstrate practical usage. The material is readily accessible to the novice, but offers enough depth to appeal to the specialist. Every technical term is defined in an easy-to-use glossary. Over 200 figures illustrate the concepts presented and provide supporting examples.

Chapman and Hall/CRC Market: Mathematics November 2017: 254 x 178: 1928pp Hb: 978-1-498-71139-5: £191.00 Special price: £162.00 eBook: 978-1-315-11960-1 Prev. Ed Hb: 978-1-584-88301-2 * For full contents and more information, visit: www.crcpress.com/9781498711395

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Handbook of Applications of Chaos Theory

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

Edited by Christos H. Skiadas and Charilaos Skiadas In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. This handbook covers the main parts of chaos theory along with various applications to diverse areas. It shows how chaos theory is used to model unexplored cases and stimulate new applications. The book discusses applications of chaos theory in biology, medicine, mechanical sciences, pattern recognition and encryption systems, socioeconomic and human sciences, and music.

Chapman and Hall/CRC Market: Mathematics June 2016: 254 x 178: 934pp Hb: 978-1-466-59043-4: £145.00 Special price: £123.00 eBook: 978-1-315-37410-9 * For full contents and more information, visit: www.crcpress.com/9781466590434

Edited by Krishnaiyan “KT” Thulasiraman, Subramanian Arumugam, Andreas Brandstädt and Takao Nishizeki Series: Chapman & Hall/CRC Computer and Information Science Series This handbook is the first to present a unified, comprehensive treatment of graph theory, combinatorial optimization, and related algorithmic issues. It covers numerous topics of interest in applications in electrical, communication, computer, social, transportation, biological, and other networks. The book provides readers with the algorithmic and theoretical foundations to understand phenomena as shaped by their graph structures, develop needed algorithmic and optimization tools for the study of graph structures, and design and plan graph structures that lead to certain desirable behavior.

Chapman and Hall/CRC Market: Computer Science December 2015: 279 x 216: 1226pp Hb: 978-1-584-88595-5: £115.00 Special price: £98.00 eBook: 978-1-420-01107-4 * For full contents and more information, visit: www.crcpress.com/9781584885955

2nd Edition

Handbook of Discrete and Combinatorial Mathematics Edited by Kenneth H. Rosen, Monmouth University, Middletown, New Jersey, USA, Douglas R. Shier, Clemson University, South Carolina, USA and Wayne Goddard, Monmouth University Series: Discrete Mathematics and Its Applications Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians.

The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary.

Chapman and Hall/CRC Market: Mathematics December 2017: 254 x 178: 1612pp Hb: 978-1-584-88780-5: £150.99 Special price: £128.00 eBook: 978-1-315-15648-4 Prev. Ed Hb: 978-0-849-30149-0 * For full contents and more information, visit: www.crcpress.com/9781584887805

2nd Edition

Handbook of Linear Partial Differential Equations for Engineers and Scientists Andrei D. Polyanin, Russian Academy of Sciences, Moscow and Vladimir E. Nazaikinskii, Russian Academy of Sciences, Moscow This second edition contains nearly 4,000 linear partial differential equations (PDEs) with solutions as well as analytical, symbolic, and numerical methods for solving linear equations. First-, second-, third-, fourth-, and higher-order linear equations and systems of coupled equations are considered. Equations of parabolic, mixed, and other types are discussed. New linear equations, exact solutions, transformations, and methods are described. Formulas for effective construction of solutions are given. Boundary value and eigenvalue problems are addressed.

Symbolic and numerical methods for solving PDEs with Maple, ® Mathematica, and MATLAB are explored.

Chapman and Hall/CRC Market: Mathematics/Engineering January 2016: 254 x 178: 1609pp Hb: 978-1-466-58145-6: £145.00 Special price: £123.00 eBook: 978-1-466-58149-4 Prev. Ed Hb: 978-1-584-88299-2 * For full contents and more information, visit: www.crcpress.com/9781466581456

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MATHEMATICS 3rd Edition

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Handbook of Ordinary Differential Equations

Integration and Cubature Methods

Exact Solutions, Methods, and Problems

A Geomathematically Oriented Course

Andrei D. Polyanin, Russian Academy of Sciences, Moscow and Valentin F. Zaitsev, Russian State Pedagogical University, St. Petersburg The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. It contains more equations and methods used in the field than any other book currently available. Included are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more.

Chapman and Hall/CRC Market: Mathematics November 2017: 254 x 178: 1496pp Hb: 978-1-466-56937-9: £230.00 Special price: £195.00 eBook: 978-1-315-11763-8 Prev. Ed Hb: 978-1-420-08723-9 * For full contents and more information, visit: www.crcpress.com/9781466569379

Willi Freeden, Technical University of Kaiserslautern, Germany and Martin Gutting, University of Siegen Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration. In geosciences, however, the integrals are extended over potato-like volumes (such as the ball, ellipsoid, geoid, or the Earth) and their boundary surfaces which require specific multi-variate approximate integration methods. Integration and Cubature Methods: A Geomathematically Oriented Course provides a basic foundation for students, researchers, and practitioners interested in precisely these areas, as well as breaking new ground in integration and cubature in geomathematics.

Chapman and Hall/CRC Market: Mathematics November 2017: 235 x 156: 501pp Hb: 978-1-138-71882-1: £125.00 Special price: £106.00 eBook: 978-1-315-19567-4 * For full contents and more information, visit: www.crcpress.com/9781138718821

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Handbook of Peridynamic Modeling

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

Edited by Florin Bobaru, University of Nebraska, Lincoln, USA, John T. Foster, Univeristy of Texas, San Antonio, USA, Philippe H Geubelle, University of Illinois, Urbana, USA and Stewart A. Silling, Sandia National Laboratories, Albuquerque, New Mexico, USA Series: Advances in Applied Mathematics

Daniele Bertaccini, University of Roma Tor Vergata, Rome, Italy and Fabio Durastante, Università degli Studi dell'Insubria, Dipartimento di Scienza ed Alta Tecnologia, Como, Italy Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

This handbook covers the peridynamic modeling of failure and damage. Peridynamics is a reformulation of continuum mechanics based on the integration of interactions rather than the spatial differentiation of displacements. The book extends the classical theory of continuum mechanics to allow unguided modeling of crack propagation/fracture in brittle, quasi-brittle, and ductile materials.

Chapman and Hall/CRC Market: Mechanical Engineering October 2016: 235 x 156: 548pp Hb: 978-1-482-23043-7: £135.00 Special price: £115.00 eBook: 978-1-315-37333-1 * For full contents and more information, visit: www.crcpress.com/9781482230437

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This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems.

Chapman and Hall/CRC Market: Mathematics February 2018: 235 x 156: 354pp Hb: 978-1-498-76416-2: £69.99 Special price: £59.00 eBook: 978-1-498-76417-9 * For full contents and more information, visit: www.crcpress.com/9781498764162

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High-Performance Computing in Finance Problems, Methods, and Solutions Edited by M. A. H. Dempster, University of Cambridge & Cambridge Systems Associates, UK, Juho Kanniainen, Tampere University of Technology, Finland, John Keane, University of Manchester, UK and Erik Vynckier, AllianceBernstein, UK Series: Chapman and Hall/CRC Financial Mathematics Series This general book on high-performance computing in finance is academically and pragmatically relevant as it is built around real-life challenges. The text covers the newest techniques such as automatic differentiation, dataflow, and large scale computation for Basel III, Solvency II, and stochastic programming. With illustrative success stories in the use of high-performance computing in the finance and insurance industries, the book imparts the wisdom of adopting this method of numbers crunching to achieve business goals.

Chapman and Hall/CRC Market: Mathematics March 2018: 235 x 156: 614pp Hb: 978-1-482-29966-3: £130.00 Special price: £110.00 eBook: 978-1-482-29967-0 * For full contents and more information, visit: www.crcpress.com/9781482299663

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Knot Theory Vassily Olegovich Manturov, Moscow State University, Russia Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text.

Knot Theory, Second Edition is notable not only for its expert presentation of knot theory’s state of the art but also for its accessibility. It is valuable as a profes-sional reference and will serve equally well as a text for a course on knot theory.

CRC Press Market: Mathematics March 2018: 235 x 156: 560pp Hb: 978-1-138-56124-3: £100.00 Special price: £85.00 eBook: 978-0-203-71092-0 Prev. Ed Hb: 978-0-415-31001-7 * For full contents and more information, visit: www.crcpress.com/9781138561243

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Line Integral Methods for Conservative Problems

Mathematical Modelling of Waves in Multi-Scale Structured Media

Luigi Brugnano, University of Firenze, Italy and Felice Iavernaro, University of Bari, Italy Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics This self-contained book explains the numerical solution of differential equations within the framework of geometric integration, a branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution) relevant geometric properties of the continuous vector field. The book focuses on a large set of differential systems named conservative problems, particularly Hamiltonian systems. It covers the energy-conserving Runge–Kutta methods and discusses ® generalizations of them. MATLAB codes for implementing the methods are available online.

Alexander B. Movchan, University of Liverpool, United Kingdom, Natasha V. Movchan, University of Liverpool, United Kingdom, Ian S. Jones, Liverpool University, United Kingdom and Daniel J. Colquitt Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.

Chapman and Hall/CRC Market: Mathematics October 2015: 235 x 156: 222pp Hb: 978-1-482-26384-8: £75.99 Special price: £65.00 eBook: 978-1-482-26385-5 * For full contents and more information, visit: www.crcpress.com/9781482263848

Chapman and Hall/CRC Market: Mathematics November 2017: 235 x 156: 248pp Hb: 978-1-498-78209-8: £115.00 Special price: £98.00 eBook: 978-1-315-15538-8 * For full contents and more information, visit: www.crcpress.com/9781498782098

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Making Mathematics with Needlework

Mathematical Models of Plant-Herbivore Interactions

Ten Papers and Ten Projects Edited by sarah-marie belcastro, Smith College, Northampton, Massachusetts, USA and Carolyn Yackel, Mercer University, Macon, Georgia, USA Mathematical craftwork has become extremely popular, and mathematicians and crafters alike are fascinated by the relationship between their crafts. The focus of this book, written for mathematicians, needleworkers, and teachers of mathematics, is on the relationship between mathematics and the fiber arts (including knitting, crocheting, cross-stitch, and quilting). Each chapter starts with an overview of the mathematics and the needlework at a level understandable to both mathematicians and needleworkers, followed by more technical sections discussing the mathematics, how to introduce the mathematics in the classroom through needlework, and how to make the needlework project, including patterns and instructions.

A K Peters/CRC Press December 2007: 229 x 204: 200pp Hb: 978-1-568-81331-8: £33.99 Special price: £29.00 eBook: 978-1-439-86513-2 * For full contents and more information, visit: www.crcpress.com/9781568813318

Zhilan Feng, Purdue University, West Lafayette, Indiana, USA and Donald DeAngelis, U. S. Geological Survey, Coral Gables, Florida, USA Series: Chapman & Hall/CRC Mathematical and Computational Biology Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant community dynamics.

The result of extensive research on the use of mathematical modeling to investigate the effects of plant defenses on plant-herbivore dynamics, this book describes a toxin-determined functional response model (TDFRM), explaining field observations of these interactions.

This book is intended for graduate students and researchers interested in mathematical biology and ecology.

Chapman and Hall/CRC Market: Mathematics August 2017: 254 x 178: 231pp Hb: 978-1-498-76917-4: £69.99 Special price: £59.00 eBook: 978-1-315-15413-8 * For full contents and more information, visit: www.crcpress.com/9781498769174

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Mathematica Beyond Mathematics

Matrix Inequalities and Their Extensions to Lie Groups

The Wolfram Language in the Real World José Guillermo Sánchez León, Universidad de Salamanca, Spain Although many books have been written about Mathematica, very few of them cover the new functionality added to the most recent versions of the program. Mathematica Beyond Mathematics: The Wolfram Language in the Real World introduces the new features using real-world examples, based on the experience of the author as a consultant.

Chapman and Hall/CRC Market: Mathematics May 2017: 254 x 178: 450pp Hb: 978-1-498-79629-3: £61.99 Special price: £53.00 eBook: 978-1-315-15614-9 * For full contents and more information, visit: www.crcpress.com/9781498796293

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Tin-Yau Tam and Xuhua Liu Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to linear algebraists and Lie group researchers.

Chapman and Hall/CRC Market: Mathematics March 2018: 235 x 156: 148pp Hb: 978-1-498-79616-3: £77.00 Special price: £65.00 eBook: 978-0-429-46894-0 * For full contents and more information, visit: www.crcpress.com/9781498796163

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Metasolutions of Parabolic Equations in Population Dynamics

Nonlinear Reaction-Diffusion-Convection Equations

Julián López-Gómez, Universidad Complutense de Madrid, Spain

Roman Cherniha, Institute of Mathematics of National Academy of Sciences of Ukraine, Mykola Serov, Department of Mathematics, National Technical University, Ukraine and Oleksii Pliukhin, Department of Mathematics, National Technical University, Ukraine Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

This book explores the dynamics of a generalized prototype of semilinear parabolic logistic problem. The first part of the book introduces large solutions and metasolutions in the context of population dynamics. In a self-contained way, the second part analyzes a series of very sharp optimal uniqueness results found by the author and his colleagues. The last part reinforces the evidence that metasolutions are also categorical imperatives to describe the dynamics of huge classes of spatially heterogeneous semilinear parabolic problems.

Chapman and Hall/CRC Market: Mathematics October 2015: 235 x 156: 358pp Hb: 978-1-482-23898-3: £75.99 Special price: £64.00 eBook: 978-1-482-23899-0 * For full contents and more information, visit: www.crcpress.com/9781482238983

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Lie and Conditional Symmetry, Exact Solutions and Their Applications

It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions.

This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically motivated problems. The book summarises the results derived by the authors during the last 10 years and those obtained by some other authors.

Chapman and Hall/CRC Market: Mathematics October 2017: 235 x 156: 238pp Hb: 978-1-498-77617-2: £115.00 Special price: £98.00 eBook: 978-1-498-77619-6 * For full contents and more information, visit: www.crcpress.com/9781498776172

Model-free Hedging A Martingale Optimal Transport Viewpoint Pierre Henry-Labordere, Société Générale, Paris, France Series: Chapman and Hall/CRC Financial Mathematics Series Model-free Hedging: A Martingale Optimal Transport Viewpoint focuses on the computation of model-independent bounds for exotic options consistent with market prices of liquid instruments such as Vanilla options. The author gives an overview of Martingale Optimal Transport, highlighting the differences between the optimal transport and its martingale counterpart.

This topic is then discussed in the context of mathematical finance.

Chapman and Hall/CRC Market: Mathematics May 2017: 235 x 156: 190pp Hb: 978-1-138-06223-8: £69.99 Special price: £59.00 eBook: 978-1-315-16174-7 * For full contents and more information, visit: www.crcpress.com/9781138062238

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Numerical Methods for Fractional Calculus Changpin Li, Shanghai University, China and Fanhai Zeng, Shanghai University, China Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series This book provides efficient and reliable numerical methods for solving fractional calculus problems. It focuses on numerical techniques for fractional integrals, derivatives, and differential equations. The book covers frequently used fractional integrals and derivatives, explains how to implement fractional finite difference methods in various fractional differential equations relevant to scientific and engineering applications, and presents the finite element method for solving fractional PDEs. Many numerical examples support the theoretical analyses and ® MATLAB functions are available on the book’s CRC Press web page.

Chapman and Hall/CRC Market: Mathematics May 2015: 235 x 156: 300pp Hb: 978-1-482-25380-1: £83.99 Special price: £71.00 eBook: 978-1-482-25381-8 * For full contents and more information, visit: www.crcpress.com/9781482253801

Monomial Algebras Rafael Villarreal, Centro de Investigacion, Mexico City, Mexico Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics This book presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. Along with revising all existing chapters, this edition includes four new chapters that focus on the algebraic properties of blowup algebras in combinatorial optimization problems of clutters and hypergraphs. It also contains two new chapters that explore the algebraic and combinatorial properties of the edge ideal of clutters and hypergraphs.

Chapman and Hall/CRC Market: Mathematics March 2015: 235 x 156: 704pp Hb: 978-1-482-23469-5: £155.00 Special price: £132.00 eBook: 978-1-482-23470-1 Prev. Ed Hb: 978-0-824-70524-4 * For full contents and more information, visit: www.crcpress.com/9781482234695

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Optimization and Differentiation Simon Serovajsky, Al-Farabi Kazakh National University, Department of Differential Equations and Control Theory, Almaty, Kazakhstan Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal control theory.

Chapman and Hall/CRC Market: Mathematics October 2017: 235 x 156: 516pp Hb: 978-1-498-75093-6: £115.00 Special price: £98.00 eBook: 978-1-315-15244-8 * For full contents and more information, visit: www.crcpress.com/9781498750936

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Pseudolinear Functions and Optimization

Recent Advances in Operator Theory and Operator Algebras

Shashi Kant Mishra and Balendu Bhooshan Upadhyay This is the first book to focus exclusively on pseudolinear functions, a class of generalized convex functions. The book discusses the properties, characterizations, and applications of pseudolinear functions in nonlinear optimization problems. It encompasses nearly all the published literature on the subject along with new results on semi-infinite nonlinear programming problems. The authors present optimality conditions and duality results for many types of optimization problems. They also extend pseudolinear functions to higher-level problems and explore applications to hospital management and economics.

Chapman and Hall/CRC Market: Mathematics December 2014: 229 x 152: 510pp Hb: 978-1-482-25573-7: £105.00 Special price: £89.00 eBook: 978-1-482-25575-1 * For full contents and more information, visit: www.crcpress.com/9781482255737

Hari Bercovici, Indiana University, Elias Katsoulis, David Kerr and Dan Timotin This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.

Chapman and Hall/CRC Market: Mathematics July 2017: 235 x 156: 152pp Hb: 978-1-138-03021-3: £92.00 Special price: £78.00 eBook: 978-1-317-97461-1 * For full contents and more information, visit: www.crcpress.com/9781138030213

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Quadratic Programming with Computer Programs

Risk Parity Fundamentals

Michael J. Best, University of Waterloo University of Waterloo, Ontario, Canada Series: Advances in Applied Mathematics Quadratic programming is a mathematical technique that allows for the optimization of a quadratic function in several variables.

QP is a subset of Operations Research and is the next higher lever of sophistication than Linear Programming. It is a key mathematical tool in Portfolio Optimization and structural plasticity. This is useful in Civil Engineering as well as Statistics.

Chapman and Hall/CRC Market: Mathematics January 2017: 254 x 178: 386pp Hb: 978-1-498-73575-9: £60.99 Special price: £52.00 eBook: 978-1-315-12088-1 * For full contents and more information, visit: www.crcpress.com/9781498735759

Edward E. Qian, PanAgora Asset Management, Boston, Massachusetts, USA Written by an experienced researcher and portfolio manager who coined the term "risk parity," this book provides readers with a practical understanding of the risk parity investment approach. It uses fundamental, quantitative, and historical analysis to address the merit of risk parity as well as the practical and underlying aspects of risk parity investing. Requiring no advanced degrees in quantitative fields, the book analyzes risk parity performance from historical periods and more recent market environments.

Chapman and Hall/CRC Market: Investments February 2016: 254 x 178: 228pp Hb: 978-1-498-73879-8: £49.99 Special price: £38.00 eBook: 978-1-498-73880-4 * For full contents and more information, visit: www.crcpress.com/9781498738798

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Quantitative Graph Theory

Search and Foraging

Mathematical Foundations and Applications

Individual Motion and Swarm Dynamics

Edited by Matthias Dehmer, UMIT, Hall in Tirol, Austria and Frank Emmert-Streib, Queen's University Belfast, UK Series: Discrete Mathematics and Its Applications This is the first book devoted exclusively to quantitative graph theory. It presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information theory, measurement theory, and statistical techniques, this book covers a wide range of quantitative-graph theoretical concepts and methods, including those pertaining to real and random graphs. Through its broad coverage, this text fills a gap in the contemporary literature of discrete and applied mathematics, computer science, systems biology, and related disciplines.

Chapman and Hall/CRC Market: Mathematics October 2014: 235 x 156: 528pp Hb: 978-1-466-58451-8: £95.99 Special price: £82.00 eBook: 978-1-466-58452-5 * For full contents and more information, visit: www.crcpress.com/9781466584518

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Eugene Kagan, The Weizmann Institute of Sciences, Rehovot, Israel and Irad Ben-Gal, Tel Aviv University, Israel This book examines how to program artificial search agents so that they act optimally or demonstrate the same behavior as predicted by the foraging theory for living organisms. It discusses foraging theory as well as search and screening theory in the same mathematical and algorithmic framework. It presents an overview of the main ideas and methods of foraging and search theories, making the concepts of one theory accessible to specialists of the other. Numerical examples illustrate the application of both theories.

Chapman and Hall/CRC Market: Mathematics June 2015: 254 x 178: 268pp Hb: 978-1-482-24209-6: £75.99 Special price: £65.00 eBook: 978-1-482-24210-2 * For full contents and more information, visit: www.crcpress.com/9781482242096

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Set Theoretical Aspects of Real Analysis

Stochastic Cauchy Problems in Infinite Dimensions

Alexander B. Kharazishvili Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Generalized and Regularized Solutions Irina V. Melnikova, Institute of Mathematics and Computer Sciences, Ural Federal University, Yekaterinburg, Russia Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

This book addresses a number of questions in real analysis and classical measure theory that are of a set-theoretic flavor.

Accessible to graduate students, the beginning of the book presents introductory topics on real analysis and Lebesque measure theory. These topics highlight the boundary between fundamental concepts of measurability and non-measurability for point sets and functions. The remainder of the book deals with more specialized material on set-theoretical real analysis.

This book presents stochastic differential equations for random processes with values in Hilbert spaces. The first part of the text gives a self-contained introduction to modern semi-group and abstract distribution methods for solving the homogeneous (deterministic) Cauchy problem. In the second part, the author solves stochastic problems using semi-group and distribution methods as well as the methods of infinite-dimensional stochastic analysis. The book includes many examples involving generators of integrated, convoluted, and -semi-groups.

Chapman and Hall/CRC Market: Mathematics August 2014: 235 x 156: 456pp Hb: 978-1-482-24201-0: £115.00 Special price: £98.00 eBook: 978-1-482-24202-7 * For full contents and more information, visit: www.crcpress.com/9781482242010

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Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics Steinar Johannesen, Oslo and Akershus University, Norway This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity.

Among the themes presented in the book are differentiable manifolds, differential forms, fiber bundles and differential geometry with non-trivial applications especially within the general theory of relativity. The emphasis is upon a systematic and logical construction of the mathematical foundations. The book is self contained with definitions, theorems and detailed proofs. The book will also appeal to students of theoretical physics interested in the mathematical foundation of the theories.

Chapman and Hall/CRC Market: Mathematics December 2016: 235 x 156: 641pp Hb: 978-1-498-79671-2: £66.99 Special price: £57.00 eBook: 978-1-315-36672-2 * For full contents and more information, visit: www.crcpress.com/9781498796712

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Spectral and Scattering Theory for Second Order Partial Differential Operators Kiyoshi Mochizuki, Tokyo Metropolitan University; Chuo University, Tokyo, Japan Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of spectral and scattering theory: the selfadjointness, essential spectrum, absolute continuity of the continuous spectrum, spectral representations, short-range and long-range scattering are summarized. In the second half, recent results: scattering of Schrodinger operators on a star graph, uniform resolvent estimates, smoothing properties and Strichartz estimates, and some applications are discussed.

Chapman and Hall/CRC Market: Mathematics April 2017: 235 x 156: 232pp Hb: 978-1-498-75602-0: £69.99 Special price: £59.00 eBook: 978-1-315-15290-5 * For full contents and more information, visit: www.crcpress.com/9781498756020

Chapman and Hall/CRC Market: Mathematics February 2016: 235 x 156: 286pp Hb: 978-1-482-21050-7: £70.99 Special price: £60.00 eBook: 978-1-482-21051-4 * For full contents and more information, visit: www.crcpress.com/9781482210507

2nd Edition

Stochastic Partial Differential Equations Pao-Liu Chow, Wayne State University, Detroit, Michigan, USA This book covers basic theory as well as computational and analytical techniques to solve physical, biological, and financial problems. This second edition incorporates new material concerning stochastic PDEs driven by Lévy-type noise. It includes new sections on stochastic differential equations of Lévy type as well as stochastic parabolic, hyperbolic, and evolution equations with Poisson noise. This edition also provides new applications of stochastic PDEs to population biology and finance and an updated section on parabolic equations and related elliptic problems in Gauss–Sobolev spaces.

Chapman and Hall/CRC Market: Mathematics December 2014: 235 x 156: 334pp Hb: 978-1-466-57955-2: £75.99 Special price: £65.00 eBook: 978-1-466-57957-6 * For full contents and more information, visit: www.crcpress.com/9781466579552

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Stochastic Volatility Modeling Lorenzo Bergomi, Société Générale, Paris, France Series: Chapman and Hall/CRC Financial Mathematics Series Written by a leading contributor to volatility modeling and Risk’s 2009 Quant of the Year, this book explains how stochastic volatility is used to tackle practical issues arising in the modeling of derivatives. With many unpublished results and insights, the book addresses the practicalities of modeling local volatility, local-stochastic volatility, and multi-asset stochastic volatility. It covers forward-start options, variance swaps, options on realized variance, timer options, VIX futures and options, and daily cliquets.

Chapman and Hall/CRC Market: Mathematics January 2016: 235 x 156 Hb: 978-1-482-24406-9: £64.99 Special price: £55.00 eBook: 978-1-482-24407-6 * For full contents and more information, visit: www.crcpress.com/9781482244069

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The Financial Mathematics of Market Liquidity

The Truth Value Algebra of Type-2 Fuzzy Sets

From Optimal Execution to Market Making

Order Convolutions of Functions on the Unit Interval

Olivier Gueant, Universite Paris Diderot, France Series: Chapman and Hall/CRC Financial Mathematics Series This book is devoted to mathematical models for execution problems in finance. The book presents a general framework—inspired by the Almgren-Chriss approach—for optimal execution problems and demonstrates its use across a wide range of areas. The book covers applications to the different types of execution proposed within the brokerage industry. It also presents applications to block trade pricing, option pricing and hedging, and the management of complex buy-back contracts.

Chapman and Hall/CRC Market: Mathematics April 2016: 235 x 156: 278pp Hb: 978-1-498-72547-7: £64.99 Special price: £55.00 eBook: 978-1-498-72548-4 * For full contents and more information, visit: www.crcpress.com/9781498725477

John Harding, New Mexico State University, Las Cruces, USA, Carol L. Walker, New Mexico State University, Las Cruces, USA and Elbert A. Walker, New Mexico State University, Las Cruces, USA Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics Accessible to anyone with a standard undergraduate mathematics background, this self-contained book explores the fundamental properties of the type-2 truth value algebra and the role of these properties in applications. It covers topics increasingly used in fuzzy set theory, such as lattice theory, analysis, category theory, and universal algebra. The book discusses the basics of the type-2 truth value algebra, its subalgebra of convex normal functions, and their applications. It also examines the truth value algebra from a more algebraic and axiomatic view.

Chapman and Hall/CRC Market: Mathematics March 2016: 235 x 156: 234pp Hb: 978-1-498-73527-8: £70.99 Special price: £60.00 eBook: 978-1-498-73529-2 * For full contents and more information, visit: www.crcpress.com/9781498735278

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The Navier-Stokes Problem in the 21st Century

Twists, Tilings, and Tessellations

Pierre Gilles Lemarie-Rieusset, University of Evry Val d’Essonne, France This book focuses on incompressible deterministic Navier–Stokes equations in the case of a fluid filling the whole space. It explores the meaning of the equations, open problems, and recent progress. It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical references to the (pre)history of the equations as well as recent references that highlight active mathematical research in the field.

Chapman and Hall/CRC Market: Mathematics March 2016: 235 x 156: 718pp Hb: 978-1-466-56621-7: £70.99 Special price: £60.00 eBook: 978-1-466-56623-1 * For full contents and more information, visit: www.crcpress.com/9781466566217

Mathematical Methods for Geometric Origami Robert J. Lang Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

A K Peters/CRC Press February 2018: 756pp Pb: 978-1-568-81232-8: £53.99 Special price: £46.00 eBook: 978-1-315-15703-0 * For full contents and more information, visit: www.crcpress.com/9781568812328

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The Second-Order Adjoint Sensitivity Analysis Methodology Dan Gabriel Cacuci, University of Karlsruhe, Germany Series: Advances in Applied Mathematics The Second-Order Adjoint Sensitivity Analysis Methodology generalizes the First-Order Theory presented in the author’s previous books published by CRC Press. This breakthrough has many applications in sensitivity and uncertainty analysis, optimization, data assimilation, model calibration, and reducing uncertainties in model predictions. The book has many illustrative examples that will help readers understand the complexity of the subject and will enable them to apply this methodology to problems in their own fields.

Chapman and Hall/CRC Market: Mathematics February 2018: 235 x 156: 306pp Hb: 978-1-498-72648-1: £100.00 Special price: £85.00 eBook: 978-1-498-72649-8 * For full contents and more information, visit: www.crcpress.com/9781498726481

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Variational-Hemivariational Inequalities with Applications Mircea Sofonea, University of Perpignan, France and Stanislaw Migorski, Jagiellonian University in Krakow, Poland Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its application to various nonlinear problems in analysis and mechanics.

Chapman and Hall/CRC Market: Mathematics October 2017: 235 x 156: 312pp Hb: 978-1-498-76158-1: £110.00 Special price: £93.00 eBook: 978-1-315-15326-1 * For full contents and more information, visit: www.crcpress.com/9781498761581

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A Handbook of Statistical Graphics Using SAS ODS

Adaptive Designs for Sequential Treatment Allocation

Geoff Der, University of Glasgow, UK and Brian S. Everitt, Professor Emeritus, King’s College, London, UK This handbook covers essential graphical methods for statisticians and explains how to implement the methods using SAS 9.4. It shows how to use SAS’s newer ODS graphics to create many types of statistical graphics for exploring data and diagnosing fitted models. Each chapter deals graphically with several sets of example data from a wide variety of areas, such as epidemiology, medicine, and psychology. The SAS programs and data sets are available online.

Chapman and Hall/CRC Market: Statistics August 2014: 235 x 156: 244pp Hb: 978-1-466-59903-1: £53.99 Special price: £46.00 eBook: 978-1-466-59904-8 * For full contents and more information, visit: www.crcpress.com/9781466599031

Alessandro Baldi Antognini, University of Bologna, Italy and Alessandra Giovagnoli, University of Bologna, Italy Series: Chapman & Hall/CRC Biostatistics Series This book presents a rigorous theoretical treatment of the results and mathematical foundation of adaptive design theory. The authors introduce the statistical models most commonly used in comparative experiments. They then illustrate biased coin and urn designs that only take into account past treatment allocations as well as designs that use past data, such as sequential maximum likelihood and doubly adaptive designs.

The book also covers multipurpose adaptive experiments involving utilitarian choices and ethical issues and discusses covariate-adaptive methods.

Chapman and Hall/CRC Market: Statistics April 2015: 235 x 156: 216pp Hb: 978-1-466-50575-9: £59.99 Special price: £51.00 eBook: 978-1-466-50576-6 * For full contents and more information, visit: www.crcpress.com/9781466505759

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Absolute Risk

Adaptive Survey Design

Methods and Applications in Clinical Management and Public Health Ruth M. Pfeiffer, National Cancer Institute, Rockville, Maryland, USA and Mitchell H. Gail, National Cancer Institute, Rockville, Maryland, USA Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability Absolute risk is the probability of developing a specific disease over a specified time interval in the presence of competing causes of mortality. Although absolute risk is arguably more relevant to clinical decision making than "pure" risk, the development of appropriate statistical methods for estimating and applying absolute risk has lagged behind those for pure risk. This book focuses on the development, evaluation, and application of models of absolute risk.

Chapman and Hall/CRC Market: Statistics July 2017: 254 x 178: 201pp Hb: 978-1-466-56165-6: £53.99 Special price: £46.00 eBook: 978-1-315-11753-9 * For full contents and more information, visit: www.crcpress.com/9781466561656

Barry Schouten, Statistics Netherlands, The Hague, The Netherlands, Andy Peytchev, University of Michigan, Institute for Social Research, Ann Arbor, USA and James Wagner, University of Michigan, Ann Arbor, USA Series: Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences Adaptive survey designs (ASDs) provide a framework for data-driven tailoring of data collection procedures to different sample members, often for cost and bias reduction. People vary in how likely they are to respond and in how they respond. This variation leads to opportunities to selectively deploy design features to control both nonresponse and measurement errors.

ASD aims at the optimal matching of design features and the characteristics of respondents given the survey budget. So what are current best practices in ASD? And is ASD worthwhile when the same auxiliary data are employed in the estimation afterwards? In this book, the authors provide answers to these questions, and much more.

Chapman and Hall/CRC Market: Statistics August 2017: 235 x 156: 236pp Hb: 978-1-498-76787-3: £69.99 Special price: £59.00 eBook: 978-1-315-15396-4 * For full contents and more information, visit: www.crcpress.com/9781498767873

2nd Edition

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Adaptive Design Theory and Implementation Using SAS and R

Adversarial Risk Analysis

Mark Chang, Strategic Statistical Consulting Series: Chapman & Hall/CRC Biostatistics Series

David L. Banks, Duke University, USA, Jesus M. Rios Aliaga, Business Analytics and Mathematical Sciences, IBM, New York, USA and David Rios Insua, Institute of Mathematical Sciences ICMAT-CSIC, Spain

Covering even more adaptive designs, this second edition offers a detailed framework to understand the use of various adaptive design methods in clinical trials. It includes 12 new chapters, more analytical methods, 20 new SAS macros and R functions, and enhanced end-of-chapter problems that give readers hands-on practice addressing issues encountered in designing real-life adaptive trials. The book compares various methods using SAS and R simulations and explains how to analyze data in adaptive trials.

This book shows decision makers how to build Bayesian models for the strategic calculation of their opponents, enabling decision makers to maximize their expected utility or minimize their expected loss. Many examples throughout illustrate the application of the ARA approach to a variety of games and strategic situations. A case study based on a real application in railway security provides a blueprint for how to perform ARA in similar security situations. In addition, multi-agent influence diagrams help readers visualize complex information structures.

Chapman and Hall/CRC Market: Statistics December 2014: 235 x 156: 706pp Hb: 978-1-482-25659-8: £110.00 Special price: £93.00 eBook: 978-1-482-25660-4 Prev. Ed Hb: 978-1-584-88962-5 * For full contents and more information, visit: www.crcpress.com/9781482256598

Chapman and Hall/CRC Market: Statistics June 2015: 235 x 156: 224pp Hb: 978-1-498-71239-2: £68.99 Special price: £59.00 eBook: 978-1-498-71240-8 * For full contents and more information, visit: www.crcpress.com/9781498712392

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Analysis of Correlated Data with SAS and R Mohamed M. Shoukri, King Faisal Specialist Hospital & Res. Ctr, Riyadh, Saudi Ar Presenting in depth discussions of various statistical models and methods needed for the analysis of medical, biological and biostatistics data, this book emphasizes the analysis of data when normal distribution assumptions are not tenable. It provides detailed explanations in situations when data are naturally clustered in groups, whereby the Intra-class Correlation Coefficient plays a fundamental role in the model development.

This new edition incorporates several additions that take into account recent developments in the field.

Chapman and Hall/CRC Market: Statistics April 2018: 235 x 156: 497pp Hb: 978-1-138-19745-9: £89.00 Special price: £76.00 eBook: 978-1-315-27773-8 Prev. Ed Hb: 978-1-584-88619-8 * For full contents and more information, visit: www.crcpress.com/9781138197459

Applied Surrogate Endpoint Evaluation Methods with SAS and R Ariel Alonso, Theophile Bigirumurame, Tomasz Burzykowski, Marc Buyse, Geert Molenberghs, Leacky Muchene, Nolen Joy Perualila, Ziv Shkedy and Wim Van der Elst Series: Chapman & Hall/CRC Biostatistics Series An important factor that affects the duration, complexity and cost of a clinical trial is the endpoint used to study the treatment’s efficacy. When a true endpoint is difficult to use because of such factors as long follow-up times or prohibitive cost, it is sometimes possible to use a surrogate endpoint that can be measured in a more convenient or cost-effective way.

This book focuses on the use of surrogate endpoint evaluation methods in practice, using SAS and R. Chapman and Hall/CRC Market: Statistics December 2017: 235 x 156: 374pp Hb: 978-1-482-24936-1: £57.99 Special price: £49.00 eBook: 978-1-315-37266-2 * For full contents and more information, visit: www.crcpress.com/9781482249361

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Analyzing Longitudinal Clinical Trial Data A Practical Guide Craig Mallinckrodt, Eli Lilly Research Laboratories, Indianapolis, Indiana, USA and Ilya Lipkovich, Quintiles, Durham, North Carolina, USA Series: Chapman & Hall/CRC Biostatistics Series Missing data in longitudinal clinical trials has justifiably been the target of considerable research. However, missing data is just one of the many considerations in the analysis of longitudinal data, and focus on the data we don’t have should not distract from focus on the data we do have. The statistical theory relevant to analyses of longitudinal data is extensive. However, the greatest difficulty may not be in knowing the theory, but rather in putting the theory into useful practice. Therefore, this book focuses on the most relevant and current theory for the common issues faced in planning and implementing analyses for longitudinal trials.

Chapman and Hall/CRC Market: Statistics December 2016: 235 x 156: 302pp Hb: 978-1-498-76531-2: £66.99 Special price: £57.00 eBook: 978-1-315-18663-4 * For full contents and more information, visit: www.crcpress.com/9781498765312

2nd Edition

Applied Survey Data Analysis Steven G. Heeringa, Brady T. West and Patricia A. Berglund Series: Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences Highly recommended by the Journal of Official Statistics, The American Statistician, and other journals, Applied Survey Data Analysis, Second Edition provides an up-to-date overview of state-of-the-art approaches to the analysis of complex sample survey data. Building on the wealth of material on practical approaches to descriptive analysis and regression modeling from the first edition, this second edition expands the topics covered and presents more step-by-step examples of modern approaches to the analysis of survey data using the newest statistical software.

Chapman and Hall/CRC Market: Statistics June 2017: 235 x 156: 568pp Hb: 978-1-498-76160-4: £69.99 Special price: £59.00 eBook: 978-1-315-15327-8 Prev. Ed Hb: 978-1-420-08066-7 * For full contents and more information, visit: www.crcpress.com/9781498761604

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Applied Biclustering Methods for Big and High-Dimensional Data Using R Edited by Adetayo Kasim, Ziv Shkedy, Sebastian Kaiser, Sepp Hochreiter and Willem Talloen Series: Chapman & Hall/CRC Biostatistics Series This book shows how to apply biclustering methods to find local patterns in a big data matrix. It presents an overview of data analysis using biclustering methods from a practical point of view. Real case studies in drug discovery, genetics, marketing research, biology, toxicity, and sports illustrate the use of several biclustering methods. All the methods are accompanied with R examples that show how to conduct the analyses. The examples, software, and other materials are available on a supplementary website.

Chapman and Hall/CRC Market: Statistics October 2016: 235 x 156: 407pp Hb: 978-1-482-20823-8: £66.99 Special price: £57.00 eBook: 978-1-315-37396-6 * For full contents and more information, visit: www.crcpress.com/9781482208238

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Bayesian Inference for Partially Identified Models Exploring the Limits of Limited Data Paul Gustafson, University of British Columbia, Vancouver, Canada Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability This book shows how the Bayesian approach to inference is applicable to partially identified models (PIMs) and examines the performance of Bayesian procedures in partially identified contexts. Drawing on his many years of research in this area, the author presents a thorough overview of the statistical theory, properties, and applications of PIMs. He covers a range of PIMs, including models for misclassified data and models involving instrumental variables. He also includes real data applications of PIMs that have recently appeared in the literature.

Chapman and Hall/CRC Market: Statistics April 2015: 235 x 156: 196pp Hb: 978-1-439-86939-0: £70.99 Special price: £60.00 eBook: 978-1-439-86940-6 * For full contents and more information, visit: www.crcpress.com/9781439869390

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Bayesian Regression Modeling with INLA

Biosimilar Clinical Development: Scientific Considerations and New Methodologies

Xiaofeng Wang, Cleveland Clinic Lerner College of Medicine, Case Western Reserve University, USA, Yu Yue Ryan, Department of Statistics and CIS, Baruch College, NY, USA and Julian J. Faraway, University of Bath, UK Series: Chapman & Hall/CRC Computer Science & Data Analysis This book addresses the applications of extensively used regression models under a Bayesian framework. It emphasizes efficient Bayesian inference through integrated nested Laplace approximations (INLA) and real data analysis using R. The INLA method directly computes very accurate approximations to the posterior marginal distributions and is a promising alternative to Markov chain Monte Carlo (MCMC) algorithms, which come with a range of issues that impede practical use of Bayesian models.

Chapman and Hall/CRC Market: Statistics February 2018: 235 x 156: 312pp Hb: 978-1-498-72725-9: £69.99 Special price: £59.00 eBook: 978-1-498-72726-6 * For full contents and more information, visit: www.crcpress.com/9781498727259

Edited by Kerry B. Barker, Pfizer, Cambridge, Massachusetts, USA, Sandeep M. Menon, Pfizer, Cambridge, Massachusetts, USA, Ralph B. D'Agostino, Sr., Boston University, Massachusetts, USA, Siyan Xu, Novartis Institutes for Biomedical Research, Massachusetts, USA and Bo Jin, PhD Series: Chapman & Hall/CRC Biostatistics Series Biosimilars have the potential to change the way we think about, identify, and manage health problems. They are already impacting both clinical research and patient care, and this impact will only grow as our understanding and technologies improve.

Written by a team of experienced specialists in clinical development, this book discusses various potential drug development strategies, the design and analysis of pharmacokinetics (PK) studies, and the design and analysis of efficacy studies.

Chapman and Hall/CRC Market: Statistics January 2017: 235 x 156: 248pp Hb: 978-1-482-23169-4: £80.99 Special price: £69.00 eBook: 978-1-315-37326-3 * For full contents and more information, visit: www.crcpress.com/9781482231694

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Big Data in Omics and Imaging

Capture-Recapture Methods for the Social and Medical Sciences

Association Analysis Momiao Xiong, University of Texas School of Public Health, USA Series: Chapman & Hall/CRC Mathematical and Computational Biology The emerging genomic, epigenomic, sensing and image technologies will produce a deluge of unprecedentedly massive and highly-dimensional genomic, epigenomic, physiological, image and clinical data. Goals of this book are to develop unified frameworks, basic knowledge and efficient computational tools for analyzing growing large, complex and diverse genomic, epigenomic, physiological and image data. The book is designed to introduce the currently developed statistical methods and software for big genomic and epigenomic data analysis with real-world examples and case studies.

Chapman and Hall/CRC Market: Statistics December 2017: 254 x 178: 668pp Hb: 978-1-498-72578-1: £92.00 Special price: £78.00 eBook: 978-1-315-37050-7 * For full contents and more information, visit: www.crcpress.com/9781498725781

Edited by Dankmar Bohning, University of Southampton, United Kingdom, Peter G.M. van der Heijden, Utrecht University, The Netherlands and John Bunge, Cornell Univeristy Series: Chapman & Hall/CRC Interdisciplinary Statistics Capture-recapture methods have been used in biology and ecology for over 100 years. However, it is only recently that these methods have become popular in the social and medical sciences to estimate the size of elusive populations such as illegal immigrants, illicit drug users, or people with a drinking problem.

Capture-Recapture Methods for the Social and Medical Sciences brings together important developments which allow the application of these methods. It has contributions from more than 40 researchers, and includes topics such as ratio regression models, capture-recapture meta-analysis, extensions of single and multiple source models, latent variable models and Bayesian approaches.

Chapman and Hall/CRC Market: Statistics July 2017: 254 x 178: 430pp Hb: 978-1-498-74531-4: £92.00 Special price: £78.00 eBook: 978-1-315-15193-9 * For full contents and more information, visit: www.crcpress.com/9781498745314

2nd Edition

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Bioequivalence and Statistics in Clinical Pharmacology

Chain Event Graphs

Scott D. Patterson, Pfizer Vaccines Clinical Research & Development, Collegeville, Pennsylvania, USA and Byron Jones, Novartis Pharma AG, Basel, Switzerland Series: Chapman & Hall/CRC Biostatistics Series Maintaining a practical perspective, Bioequivalence and Statistics in Clinical Pharmacology, Second Edition explores statistics used in day-to-day clinical pharmacology work. The book is a starting point for those involved in such research and covers the methods needed to design, analyze, and interpret bioequivalence trials; explores when, how, and why these studies are performed as part of drug development; and demonstrates the methods using real world examples.

Chapman and Hall/CRC Market: Statistics December 2016: 254 x 178: 434pp Hb: 978-1-466-58520-1: £80.99 Special price: £69.00 eBook: 978-1-315-37416-1 Prev. Ed Hb: 978-1-584-88530-6 * For full contents and more information, visit: www.crcpress.com/9781466585201

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Rodrigo A. Collazo, University of Warwick, United Kingdom, Christiane Goergen, University of Warwick, United Kingdom and Jim Q. Smith, University of Warwick, United Kingdom Series: Chapman & Hall/CRC Computer Science & Data Analysis A chain event graph (CEG) is an important generalization of the Bayesian Network (BN). BNs have been extremely useful for modeling discrete processes. However, they are not appropriate for all applications. Over the past six years or so, teams of researchers led by Jim Smith have established a strong theoretical underpinning for CEGs. This book systematically and transparently presents the scope and promise of this emerging class of models, together with its underpinning methodology, to a wide audience.

CRC Press Market: Statistics January 2018: 235 x 156: 234pp Hb: 978-1-498-72960-4: £69.99 Special price: £59.00 eBook: 978-1-498-72961-1 * For full contents and more information, visit: www.crcpress.com/9781498729604

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2nd Edition

Change-Point Analysis in Nonstationary Stochastic Models

Cluster Randomised Trials Richard J. Hayes, London School of Hygiene & Tropical Medicine, UK and Lawrence H. Moulton, Johns Hopkins Bloomberg School of Public Health, Baltimore, Maryland, USA Series: Chapman & Hall/CRC Biostatistics Series

Boris Brodsky, Central Institute of Mathematics and Economics, Moscow, Russia This book covers the development of methods for detection and estimation of changes in complex systems. These systems are generally described by nonstationary stochastic models, which comprise both static and dynamic regimes, linear and nonlinear dynamics, and constant and time-variant structures of such systems. It covers both retrospective and sequential problems, particularly theoretical methods of optimal detection.

Such methods are constructed and their characteristics are analyzed both theoretically and experimentally.

Suitable for researchers working in change-point analysis and stochastic modelling, the book includes theoretical details combined with computer simulations and practical applications. Its rigorous approach will be appreciated by those looking to delve into the details of the methods, as well as those looking to apply them.

Chapman and Hall/CRC Market: Statistics March 2017: 235 x 156: 346pp Hb: 978-1-498-75596-2: £98.99 Special price: £84.00 eBook: 978-1-315-36798-9 * For full contents and more information, visit: www.crcpress.com/9781498755962

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Clinical Trial Biostatistics and Biopharmaceutical Applications

Cluster Randomised Trials, Second Edition discusses the design, conduct, and analysis of trials that randomise groups of individuals to different treatments. In the time since the publication of the first edition, the use of cluster randomised trials (CRTs) has increased substantially, which is reflected in the updates to this edition. There are greatly expanded sections on randomisation, sample size estimation, and alternative designs, including new material on stepped wedge designs. There is a new section on handling ordinal outcome data, and an appendix with descriptions and/or generating code of the example data sets.

Chapman and Hall/CRC Market: Statistics June 2017: 235 x 156: 398pp Hb: 978-1-498-72822-5: £77.00 Special price: £65.00 eBook: 978-1-315-37028-6 Prev. Ed Hb: 978-1-584-88816-1 * For full contents and more information, visit: www.crcpress.com/9781498728225

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Computational Methods for Numerical Analysis with R James P Howard, II, The Johns Hopkins University, Applied Physics Laboratory, Laurel, Maryland, USA Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Edited by Walter R. Young, Retired Pfizer and Ding-Geng (Din) Chen, University of North Carolina, Chapel Hill, USA With contributions from leaders in the biostatistical community, this book presents novel biostatistical methodologies in clinical trials as well as up-to-date biostatistical applications from the pharmaceutical industry. It covers emerging issues in clinical trial design and analysis, adaptive clinical trial designs, oncology clinical trials, multiple testing, and the use of biomarkers. Many real examples and case studies from drug development and cancer research illustrate the models and methods. R is also used to implement the procedures.

Chapman and Hall/CRC Market: Statistics November 2014: 235 x 156: 580pp Hb: 978-1-482-21218-1: £91.99 Special price: £78.00 eBook: 978-1-482-21219-8 * For full contents and more information, visit: www.crcpress.com/9781482212181

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use.

This book is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. It is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.

Chapman and Hall/CRC Market: Statistics June 2017: 235 x 156: 257pp Hb: 978-1-498-72363-3: £77.00 Special price: £65.00 eBook: 978-1-315-12019-5 * For full contents and more information, visit: www.crcpress.com/9781498723633

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2nd Edition

Clinical Trial Optimization Using R

Data and Safety Monitoring Committees in Clinical Trials

Edited by Alex Dmitrienko, Quintiles, Inc., Overland Park, Kansas, USA and Erik Pulkstenis Series: Chapman & Hall/CRC Biostatistics Series The main goal of this book is to define a unified framework for clinical trial optimization based on a comprehensive quantitative evaluation of relevant clinical scenarios (using the clinical scenario evaluation approach) and introduce best practices for simulationbased optimization. The book will be aimed at a broad audience and will emphasize a hands-on approach with a detailed discussion of practical issues arising in clinical trial optimization and R software implementation (relevant statistical methodology will be moved to the appendix).

Chapman and Hall/CRC Market: Statistics June 2017: 235 x 156: 319pp Hb: 978-1-498-73507-0: £77.00 Special price: £65.00 eBook: 978-1-315-12083-6 * For full contents and more information, visit: www.crcpress.com/9781498735070

Jay Herson, John Hopkins Bloomberg School of Public Health, Baltimore, Maryland, USA Series: Chapman & Hall/CRC Biostatistics Series Focusing on the practical clinical and statistical issues that arise in pharmaceutical industry trials, this book summarizes the author’s experience in serving on many data monitoring committees (DMCs) and in heading up a contract research organization that provided statistical support to nearly seventy-five DMCs. It explains the difference in DMC operations between the pharmaceutical industry and National Institutes of Health (NIH)-sponsored trials.

Chapman and Hall/CRC Market: Statistics December 2016: 235 x 156: 241pp Hb: 978-1-498-78410-8: £80.99 Special price: £69.00 eBook: 978-1-315-18160-8 Prev. Ed Hb: 978-1-420-07037-8 * For full contents and more information, visit: www.crcpress.com/9781498784108

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Data Science Foundations

Emerging Non-Clinical Biostatistics in Biopharmaceutical Development and Manufacturing

Geometry and Topology of Complex Hierarchic Systems and Big Data Analytics Fionn Murtagh, Goldsmiths University of London, United Kingdom Series: Chapman & Hall/CRC Computer Science & Data Analysis

Harry Yang, MedImmune, LLC, Gaithersburg, Maryland, USA Series: Chapman & Hall/CRC Biostatistics Series The premise of Quality by Design (QbD) is that the quality of the pharmaceutical product should be based upon a thorough understanding of both the product and the manufacturing process. This state-of-the-art book provides a single source of information on emerging statistical approaches to QbD and risk-based pharmaceutical development. A comprehensive resource, it combines in-depth explanations of advanced statistical methods with real-life case studies that illustrate practical applications of these methods in QbD implementation.

Data Science encompasses the traditional disciplines of mathematics, statistics, data analysis, machine learning, and pattern recognition. This book is designed to provide a new framework for Data Science, based on a solid foundation in mathematics and computational science. It is written in an accessible style, for readers who are engaged with the subject but not necessarily experts in all aspects. It includes a wide range of case studies from diverse fields, and seeks to inspire and motivate the reader with respect to data, associated information, and derived knowledge.

Chapman and Hall/CRC Market: Statistics September 2017: 254 x 178: 206pp Hb: 978-1-498-76393-6: £69.99 Special price: £59.00 eBook: 978-1-315-36749-1 * For full contents and more information, visit: www.crcpress.com/9781498763936

Chapman and Hall/CRC Market: Statistics December 2016: 235 x 156: 386pp Hb: 978-1-498-70415-1: £66.99 Special price: £57.00 eBook: 978-1-315-37172-6 * For full contents and more information, visit: www.crcpress.com/9781498704151

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Displaying Time Series, Spatial, and Space-Time Data with R

Equivalence Elizabeth L. Scott at Berkeley Amanda L. Golbeck, University of Arkansas for Medical Sciences

Oscar Perpinan Lamigueiro, ETSIDI-UPM, Madrid, Spain Series: Chapman & Hall/CRC The R Series

This biography centers on the late Elizabeth Leonard Scott’s use of statistical reasoning to promote the status of women in academia. Scott (1917- 1988) was a professor of statistics at the University of California at Berkeley (UCB). She was known for her scientific research in mathematical statistics, astronomy, and biostatistics, but she is especially remembered for her work on the status of academic women.

Focusing on the exploration of data with visual methods, this book presents methods and R code for producing high-quality graphics of time series, spatial, and space-time data. It illustrates how to display a dataset starting with an easy and direct approach and progressively adding improvements that involve more complexity. Practical examples using real-world datasets help readers understand how to apply the methods and code.

The graphics, data, and R code are accessible from the author’s website.

Chapman and Hall/CRC Market: Statistics April 2014: 235 x 156: 208pp Hb: 978-1-466-56520-3: £59.99 Special price: £51.00 eBook: 978-1-466-56522-7 * For full contents and more information, visit: www.crcpress.com/9781466565203

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Chapman and Hall/CRC Market: Statistics April 2017: 235 x 156: 608pp Pb: 978-1-482-24944-6: £53.99 Special price: £46.00 eBook: 978-1-315-19138-6 * For full contents and more information, visit: www.crcpress.com/9781482249446

2nd Edition

2nd Edition

Dynamic Documents with R and knitr Yihui Xie, RStudio Series: Chapman & Hall/CRC The R Series Suitable for both beginners and advanced users, this popular book makes writing statistical reports easier by integrating computing directly with reporting. Reports range from homework, projects, exams, books, blogs, and web pages to virtually any documents related to statistical graphics, computing, and data analysis. This edition includes a new chapter on R Markdown v2, changes that reflect improvements in the knitr package, and several new sections. Demos and other information about the package are available on the author’s website.

Chapman and Hall/CRC Market: Statistics June 2015: 235 x 156: 294pp Pb: 978-1-498-71696-3: £55.99 Special price: £48.00 eBook: 978-1-498-71697-0 Prev. Ed Pb: 978-1-482-20353-0 * For full contents and more information, visit: www.crcpress.com/9781498716963

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Exploratory Multivariate Analysis by Example Using R Francois Husson, AGROCAMPUS OUEST, Rennes, France, Sebastien Le and Jérôme Pagès, Agrocampus-Ouest, Rennes, France Series: Chapman & Hall/CRC Computer Science & Data Analysis Full of real-world case studies and practical advice, Exploratory Multivariate Analysis by Example Using R, Second Edition focuses on four fundamental methods of multivariate exploratory data analysis that are most suitable for applications. It covers principal component analysis (PCA) when variables are quantitative, correspondence analysis (CA) and multiple correspondence analysis (MCA) when variables are categorical, and hierarchical cluster analysis.

Chapman and Hall/CRC April 2017: 235 x 156: 248pp Hb: 978-1-138-19634-6: £77.00 Special price: £65.00 eBook: 978-1-315-30187-7 Prev. Ed Hb: 978-1-439-83580-7 * For full contents and more information, visit: www.crcpress.com/9781138196346

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Exposure-Response Modeling

Fuzzy Analytic Hierarchy Process

Methods and Practical Implementation Jixian Wang, Celgene International, Switzerland Series: Chapman & Hall/CRC Biostatistics Series This book explores a wide range of topics in exposure-response modeling, from traditional PKPD modeling to other areas in drug development and beyond. It incorporates numerous examples and software programs for implementing novel methods. The book emphasizes dose adjustment and treatment adaptation based on dynamic exposure-response models, illustrates how to apply causal inference to exposure-response modeling in pharmacometrics and epidemiology, and links exposure-response modeling to clinical decision making through model-based decision analysis.

Chapman and Hall/CRC Market: Statistics July 2015: 235 x 156: 351pp Hb: 978-1-466-57320-8: £68.99 Special price: £59.00 eBook: 978-1-466-57321-5 * For full contents and more information, visit: www.crcpress.com/9781466573208

Ali Emrouznejad, Aston University, Birmingham, UK and William Ho, Aston University, Birmingham, UK This book is the first in the literature and presents the state of the art in new developments and some interesting and relevant applications of the Fuzzy Analytical Hierarchy Process (FAHP).The AHP were introduced in the 1970s as a conceptually and mathematically simple, easily implementable, yet extremely powerful tool for group decision making and is used around the world in a wide variety of decision situations, such as government, business, industry, healthcare, and education. The aim of this book is to study various fuzzy methods for dealing with the imprecise and ambiguous data in AHP. Chapman and Hall/CRC Market: Statistics September 2017: 235 x 156: 408pp Hb: 978-1-498-73246-8: £92.00 Special price: £78.00 eBook: 978-1-315-36988-4 * For full contents and more information, visit: www.crcpress.com/9781498732468

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Extending R

Generalized Structured Component Analysis John M. Chambers, Stanford university Stanford University Stanford University, California, USA Stanford University, California, USA Series: Chapman & Hall/CRC The R Series Written by the leading designer of the original S software, Extending R covers key concepts and techniques in R to support analysis and research projects. It presents the core ideas of R, provides programming guidance for projects of all scales, and introduces new, valuable techniques that extend R. The book describes object-oriented programming in R as well as new and extended interfaces to other software. The interfaces, tools, and example packages are available on GitHub.

Chapman and Hall/CRC Market: Statistics May 2016: 254 x 178: 364pp Pb: 978-1-498-77571-7: £49.99 Special price: £38.00 eBook: 978-1-315-38130-5 * For full contents and more information, visit: www.crcpress.com/9781498775717

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Flexible Regression and Smoothing Using GAMLSS in R Mikis D. Stasinopoulos, Robert A. Rigby, Gillian Z. Heller, Department of Statistics, Faculty of Science and Enginerring, Macquarie University, Australia, Vlasios Voudouris and Fernanda De Bastiani Series: Chapman & Hall/CRC The R Series This book is about learning from data using the Generalized Additive Models for Location, Scale and Shape (GAMLSS).

GAMLSS extends the Generalized Linear Models and Generalized Additive Models to accommodate large complex datasets, which are increasingly prevalent. GAMLSS allows any parametric distribution for the response variable and modelling all the parameters of the distribution as linear or smooth functions of explanatory variables. This book provides a broad overview of GAMLSS methodology and how it is implemented in R. It includes a comprehensive collection of real data examples, integrated code, and figures to illustrate the methods, and is supplemented by a website.

Chapman and Hall/CRC Market: Statistics May 2017: 254 x 178: 549pp Hb: 978-1-138-19790-9: £77.00 Special price: £65.00 eBook: 978-1-315-26987-0 * For full contents and more information, visit: www.crcpress.com/9781138197909

A Component-Based Approach to Structural Equation Modeling Heungsun Hwang, McGill University, Montreal, Quebec, Canada and Yoshio Takane, Univeristy of Victoria, British Columbia, Canada Series: Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences This book provides a detailed account of the authors’ novel statistical methodology for structural equation modeling. It presents the theoretical underpinnings of generalized structured component analysis and demonstrates how it can be applied to various empirical examples. Most chapters compare this novel approach to partial least squares path modeling to show how the two component-based approaches differ when addressing an identical issue. The authors also offer software for implementing the basic features of generalized structured component analysis.

Chapman and Hall/CRC Market: Statistics December 2014: 235 x 156: 342pp Hb: 978-1-466-59294-0: £73.99 Special price: £63.00 eBook: 978-1-466-59295-7 * For full contents and more information, visit: www.crcpress.com/9781466592940

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Handbook of Big Data Edited by Peter Bühlmann, ETH Zürich, Switzerland, Petros Drineas, Rensselaer Polytechnic Institute, Troy, New York, Michael Kane, Yale University, New Haven, Connecticut, USA and Mark van der Laan, University of California, Berkeley, USA Series: Chapman & Hall/CRC Handbooks of Modern Statistical Methods This handbook provides a state-of-the-art overview of the analysis of large-scale datasets. Featuring contributions from statistics and computer science experts in industry and academia,the textinstills a working understanding of key statistical and computing ideas that can be readily applied in research and practice. Offering balanced coverage of methodology, theory, and applications, the text describes modern, scalable approaches for analyzing large datasets. It details advances in statistics and machine learning, as well as defines the underlying concepts of the available analytical tools and techniques.

Chapman and Hall/CRC Market: Statistics February 2016: 254 x 178: 464pp Hb: 978-1-482-24907-1: £91.99 Special price: £78.00 eBook: 978-1-482-24908-8 * For full contents and more information, visit: www.crcpress.com/9781482249071

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Handbook of Cluster Analysis

Handbook of Regression Methods

Edited by Christian Hennig, University College London, UK, Marina Meila, University of Washington, Seattle, USA, Fionn Murtagh, University of Derby and Goldsmiths University of London, UK and Roberto Rocci, University of Rome "Tor Vergata", Italy Series: Chapman & Hall/CRC Handbooks of Modern Statistical Methods This handbook provides a comprehensive and unified account of the main research developments in cluster analysis. Written by active, distinguished researchers in this area, the book helps readers make informed choices of the most suitable clustering approach for their problem and make better use of existing cluster analysis tools. It covers the traditional core approaches to cluster analysis, along with additional approaches, such as constrained and semi-supervised clustering. It also explores other relevant issues, such as cluster validation.

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Derek Scott Young, University of Kentucky, Lexington, USA This book is intended to read like a handbook for regression methods. It provides a broad survey of both standard and non-standard regression models and topics. Thus, the treatment includes topics that would typically be covered in a master's-level statistics course in regression (e.g., simple/multiple linear regression, residual analysis, and ANOVA; as well as more specialized topics like biased regression procedures, multivariate regression, and count regression models).

Chapman and Hall/CRC July 2017: 235 x 156: 638pp Hb: 978-1-498-77529-8: £92.00 Special price: £78.00 * For full contents and more information, visit: www.crcpress.com/9781498775298

Chapman and Hall/CRC Market: Statistics December 2015: 254 x 178: 753pp Hb: 978-1-466-55188-6: £91.99 Special price: £78.00 eBook: 978-1-466-55189-3 * For full contents and more information, visit: www.crcpress.com/9781466551886

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2nd Edition

Handbook of Mixed Membership Models and Their Applications

Hidden Markov Models for Time Series An Introduction Using R Walter Zucchini, University of Gottingen, Germany, Iain L. MacDonald, University of Cape Town, South Africa and Roland Langrock, Bielefeld University, Germany Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability

Edited by Edoardo M. Airoldi, Harvard University, David Blei, Princeton University, New Jersey, USA, Elena A. Erosheva, University of Washington, Seattle, USA and Stephen E. Fienberg, Carnegie Mellon University, Pittsburgh, Pennsylvania, USA Series: Chapman & Hall/CRC Handbooks of Modern Statistical Methods Incorporating more than 20 years of the editors’ and contributors’ statistical work in mixed membership modeling, this handbook shows how to use these flexible modeling tools to uncover hidden patterns in modern high-dimensional multivariate data.

It explores the use of the models in various application settings, including survey data, population genetics, text analysis, image processing and annotation, and molecular biology. Through examples using real data sets, readers will discover how to characterize complex multivariate data in a range of areas.

Chapman and Hall/CRC Market: Statistics November 2014: 254 x 178: 618pp Hb: 978-1-466-50408-0: £91.99 Special price: £78.00 eBook: 978-1-466-50409-7 * For full contents and more information, visit: www.crcpress.com/9781466504080

Hidden Markov Models (HMMs) remains a vibrant area of research in statistics, with many new applications appearing since publication of the first edition. The second edition of this popular reference on the topic has been substantially revised, notably with chapter 8, extensions of the basic HMM, now expanded to four chapters with many more models included.

There are also lots of new applications, extended software guidelines and code and many minor improvements throughout the book.

Chapman and Hall/CRC Market: Statistics June 2016: 235 x 156: 370pp Hb: 978-1-482-25383-2: £64.99 Special price: £55.00 eBook: 978-1-315-37248-8 Prev. Ed Hb: 978-1-584-88573-3 * For full contents and more information, visit: www.crcpress.com/9781482253832

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2nd Edition

Handbook of Quantile Regression

Hierarchical Modeling and Analysis for Spatial Data

Edited by Roger Koenker, Victor Chernozhukov, Department of Economics, MIT, USA, Xuming He, Department of Statistics, University of Michigan, USA and Limin Peng Series: Chapman & Hall/CRC Handbooks of Modern Statistical Methods Since its introduction in the 1970s by Koenker and Bassett, quantile regression has been gradually extended to a wide variety of data analytic settings including time series, survival analysis, and longitudinal data. Applications of quantile regression can now be found throughout the sciences, including astrophysics, chemistry, ecology, economics, finance, genomics, medicine, and meteorology. The objective of this volume is to provide a comprehensive review of recent developments of quantile regression methodology illustrating its applicability in a wide range of scientific settings.

Chapman and Hall/CRC Market: Statistics October 2017: 254 x 178: 463pp Hb: 978-1-498-72528-6: £92.00 Special price: £78.00 eBook: 978-1-315-12025-6 * For full contents and more information, visit: www.crcpress.com/9781498725286

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Sudipto Banerjee, University of California, Los Angeles, USA, Bradley P. Carlin, University of Minnesota, Minneapolis, Minnesota, USA and Alan E. Gelfand, Duke University, Durham, North Carolina, USA Series edited by Niels Keiding Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability More than twice the size of its predecessor, this second edition reflects the major growth in spatial statistics as both a research area and an area of application. This edition includes four new chapters on spatial point patterns, big data, spatial and spatiotemporal gradient modeling, and the theoretical aspects of point-referenced modeling. It also expands several other chapters, updates the WinBUGS programs and R packages, doubles the number of exercises, and integrates many more color figures throughout the text.

Chapman and Hall/CRC Market: Statistics September 2014: 254 x 178: 584pp Hb: 978-1-439-81917-3: £75.99 Special price: £64.00 eBook: 978-1-439-81918-0 Prev. Ed Hb: 978-1-584-88410-1 * For full contents and more information, visit: www.crcpress.com/9781439819173

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Implementing Reproducible Research

Measuring Statistical Evidence Using Relative Belief

Edited by Victoria Stodden, Friedrich Leisch, University of Natural Resources and Life Sciences, Institute of Applied Statistics and Computing, Vienna, Austria and Roger D. Peng, Johns Hopkins University, Baltimore, Maryland, USA Series: Chapman & Hall/CRC The R Series This work covers many of the elements necessary for conducting and distributing reproducible research. It explains how to accurately reproduce a scientific result. Divided into three parts, the book discusses the tools, practices, and dissemination platforms for ensuring reproducibility in computational science.

Each part presents contributions from leaders who have developed software and other products that have advanced the field, including Sweave, open source software packages, and good programming practices. Supplementary material is available online.

Chapman and Hall/CRC Market: Statistics April 2014: 235 x 156: 448pp Hb: 978-1-466-56159-5: £59.99 Special price: £51.00 eBook: 978-1-466-56160-1 * For full contents and more information, visit: www.crcpress.com/9781466561595

Michael Evans, University of Toronto, Ontario, Canada Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability This book provides an overview of recent work on developing a theory of statistical inference based on measuring statistical evidence. It attempts to establish a gold standard for how a statistical analysis should proceed. The book illustrates relative belief theory using many examples and describes the strengths and weaknesses of the theory. The author also addresses fundamental statistical issues, including the meaning of probability, the role of subjectivity, the meaning of objectivity, and the role of infinity and continuity.

Chapman and Hall/CRC Market: Statistics June 2015: 235 x 156: 250pp Hb: 978-1-482-24279-9: £68.99 Special price: £59.00 eBook: 978-1-482-24280-5 * For full contents and more information, visit: www.crcpress.com/9781482242799

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Introductory Adaptive Trial Designs

Missing and Modified Data in Nonparametric Estimation

A Practical Guide with R Mark Chang, Strategic Statistical Consulting Series: Chapman & Hall/CRC Biostatistics Series Taking a learning-by-doing approach, this tutorial-style book helps newcomers quickly and easily grasp the essence of adaptive designs as well as the foundations of adaptive design methods. It reduces the mathematics to a minimum and makes the material as practical as possible. The author includes R functions that enable readers to better understand the algorithms and customize the designs to meet their needs. For those with no R experience, an appendix provides a 30-minute R tutorial.

Chapman and Hall/CRC Market: Statistics June 2015: 235 x 156: 232pp Hb: 978-1-498-71746-5: £61.99 Special price: £53.00 eBook: 978-1-498-71747-2 * For full contents and more information, visit: www.crcpress.com/9781498717465

With R Examples Sam Efromovich, UT Dallas, Richardson, TX Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability The book gives a unified approach to nonparametric curve estimation based on missing and modified data. Missing data includes cases of missing at random and missing not at random, while data modification includes truncation and censoring, typical in survival analysis, as well as measurement errors and amplitude modulation. A universal nonparametric series E-estimator is used whose statistical idea is based on estimation of a population mean by a corresponding sample mean. While the approach is straightforward, the asymptotic theory shows that no other estimator can outperform the E-estimator.

Chapman and Hall/CRC Market: Statistics March 2018: 254 x 178: 448pp Hb: 978-1-138-05488-2: £77.00 Special price: £65.00 eBook: 978-1-315-16638-4 * For full contents and more information, visit: www.crcpress.com/9781138054882

2nd Edition

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Linear Mixed Models

Mixture Model-Based Classification

A Practical Guide Using Statistical Software Brady T. West, Kathleen B. Welch and Andrzej T Galecki The widely recommended first edition of this bestseller showed how to easily perform complex LMM analyses via a variety of software programs. This second edition continues to lead readers step by step through the process of fitting LMMs. It covers additional topics on the application of LMMs, updates the case studies using the latest versions of the software procedures, and provides up-to-date information on fitting LMMs in SAS, SPSS, Stata, R/S-plus, and HLM. Software code for the examples is available on the book’s website.

Chapman and Hall/CRC Market: Statistics July 2014: 254 x 178: 440pp Hb: 978-1-466-56099-4: £72.99 Special price: £62.00 eBook: 978-1-466-56102-1 Prev. Ed Hb: 978-1-584-88480-4 * For full contents and more information, visit: www.crcpress.com/9781466560994

Paul D. McNicholas, McMaster University This work addresses classification using mixture models broadly.

Unlike traditional treatments of the subject that heavily focus on unsupervised approaches, this book gives attention to unsupervised, semi-supervised, and supervised classification paradigms. Case studies illustrate both non-Gaussian and Gaussian approaches to model selection.

Chapman and Hall/CRC Market: Statistics August 2016: 235 x 156: 212pp Hb: 978-1-482-22566-2: £60.99 Special price: £52.00 eBook: 978-1-315-37357-7 * For full contents and more information, visit: www.crcpress.com/9781482225662

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Modern Adaptive Randomized Clinical Trials Statistical and Practical Aspects Edited by Oleksandr Sverdlov, EMD Serono, Inc., Billerica, Massachusetts, USA Series: Chapman & Hall/CRC Biostatistics Series This book aids in identifying when to apply adaptive randomization designs in practice. Featuring contributions from statisticians, clinical trialists, and subject-matter experts in academia and industry, the text discusses restricted, covariate-adaptive, response-adaptive, and covariate-adjusted response-adaptive randomization designs, as well as randomized designs with treatment selection. It describes a successful implementation of a single pivotal phase II/III adaptive trial in infants with proliferating hemangioma, addresses practical aspects of phase II dose-ranging studies, and examines statistical monitoring and interim analysis issues in response-adaptive randomized clinical trials.

Chapman and Hall/CRC Market: Statistics June 2015: 235 x 156: 533pp Hb: 978-1-482-23988-1: £125.00 Special price: £106.00 eBook: 978-1-482-23989-8 * For full contents and more information, visit: www.crcpress.com/9781482239881

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Modern Directional Statistics

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Next-Generation Sequencing Data Analysis Xinkun Wang, Northwestern University, Chicago, Illinois, USA This book walks readers through the multiple stages of next-generation sequencing (NGS) data generation and analysis in an easy-to-follow fashion. It covers every step in each stage, from the planning stage of experimental design, sample processing, sequencing strategy formulation, the early stage of base calling, reads quality check and data preprocessing to the intermediate stage of mapping reads to a reference genome and normalization to more advanced stages specific to each application. It also covers all major applications of NGS. CRC Press Market: Statistics February 2016: 235 x 156: 246pp Hb: 978-1-482-21788-9: £64.99 Special price: £55.00 eBook: 978-1-482-21789-6 * For full contents and more information, visit: www.crcpress.com/9781482217889

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Perfect Simulation

Christophe Ley, Ghent University Ghent, Belgium and Thomas Verdebout, Universite libre de Bruxelles Series: Chapman & Hall/CRC Interdisciplinary Statistics

Mark L. Huber, Claremont McKenna College, California, USA Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability

Directional data naturally arises in numerous and diverse domains such as earth sciences (in particular geology), meteorology, astronomy, studies of animal behavior, image analysis, neurosciences, medicine, machine learning, bioinformatics, and cosmology. The difficulty inherent to directional data compared to usual multivariate data lies in the fact that they take values on non-linear manifolds, rendering their analysis via standard multivariate methods impossible. This book provides a detailed account on some of the newest methods for dealing with this type of data.

This book illustrates the application of perfect simulation ideas and algorithms to a wide range of problems. The author describes numerous protocol methodologies for designing algorithms for specific problems. He first examines the commonly used acceptance/rejection (AR) protocol for creating perfect simulation algorithms. He then covers other major protocols, including coupling from the past (CFTP); the Fill, Machida, Murdoch, and Rosenthal (FMMR) method; the randomness recycler; retrospective sampling; and partially recursive AR, along with multiple variants of these protocols.

Chapman and Hall/CRC Market: Statistics September 2017: 235 x 156: 176pp Hb: 978-1-498-70664-3: £77.00 Special price: £65.00 eBook: 978-1-315-11947-2 * For full contents and more information, visit: www.crcpress.com/9781498706643

Chapman and Hall/CRC Market: Statistics November 2015: 235 x 156: 228pp Hb: 978-1-482-23244-8: £68.99 Special price: £59.00 eBook: 978-1-482-23245-5 * For full contents and more information, visit: www.crcpress.com/9781482232448

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Multiregional Clinical Trials for Simultaneous Global New Drug Development

Power Analysis of Trials with Multilevel Data

Edited by Joshua Chen, Sanofi Pasteur, Swiftwater, Pennsylvania, USA and Hui Quan, Sanofi–Aventis, Bridgewater, New Jersey, USA Series: Chapman & Hall/CRC Biostatistics Series This book presents a comprehensive overview on the current status of conducting MRCTs in clinical development. It first provides a high-level introduction to the context, motivation, opportunities, and challenges in simultaneous global clinical development using MRCTs. It then focuses on the design, monitoring, and analysis/interpretation of MRCTs. The book concludes with an examination of the latest research topics, such as special considerations by local health authorities, health economic evaluations, benefit-risk assessment, and medical devices.

Chapman and Hall/CRC Market: Statistics April 2016: 235 x 156: 353pp Hb: 978-1-498-70146-4: £70.99 Special price: £60.00 eBook: 978-1-498-70148-8 * For full contents and more information, visit: www.crcpress.com/9781498701464

Mirjam Moerbeek, Utrecht University, The Netherlands and Steven Teerenstra, Radboud University Medical Center, The Netherlands Series: Chapman & Hall/CRC Interdisciplinary Statistics Power Analysis of Trials with Multilevel Data is a valuable reference for anyone who wants to perform power calculations on trials with hierarchical data. It provides a thorough overview of power analysis, familiarizing you with terminology and notation, outlining the key concepts of statistical power and power analysis, and covering all common hierarchical designs.

Chapman and Hall/CRC Market: Statistics July 2015: 235 x 156: 288pp Hb: 978-1-498-72989-5: £68.99 Special price: £59.00 eBook: 978-1-498-72990-1 * For full contents and more information, visit: www.crcpress.com/9781498729895

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Pragmatics of Uncertainty

Randomization, Masking, and Allocation Concealment

Joseph B. Kadane, Carnegie Mellon University, Pittsburgh, Pennsylvania, USA Series: Chapman & Hall/CRC Texts in Statistical Science

Edited by Vance Berger, National Institute of Health Series: Chapman & Hall/CRC Biostatistics Series

A fair question to ask of an advocate of subjective Bayesianism (which the author is) is "how would you model uncertainty?" In this book, the author writes about how he has done it using real problems from the past, and offers additional comments about the context in which he was working.

Chapman and Hall/CRC Market: Statistics September 2016: 254 x 178: 333pp Hb: 978-1-498-71984-1: £66.99 Special price: £57.00 eBook: 978-1-315-37096-5 * For full contents and more information, visit: www.crcpress.com/9781498719841

This book deals with randomization in clinical trials. Currently trials use permuted blocks randomization almost exclusively.

Many researchers are aware of the drawbacks to this fatally flawed method, and while many are unaware of any better randomization methods, in fact several groups have proposed improvements, and also demonstrated the benefits of these improvements to permuted blocks randomization. This book will be important as it will document much of this work, so it should be useful to students in biostatistics, public health, and epidemiology, as well as to medical and clinical trial researchers and reviewers. No particular background is assumed.

Chapman and Hall/CRC Market: Statistics October 2017: 235 x 156: 251pp Hb: 978-1-138-03364-1: £69.99 Special price: £59.00 eBook: 978-1-315-30511-0 * For full contents and more information, visit: www.crcpress.com/9781138033641

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Process Capability Analysis

Robust Cluster Analysis and Variable Selection Gunter Ritter, Universitat Passau, Germany Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability

Estimating Quality Neil W. Polhemus This book considers the problem of estimating the percent of nonconforming items in a process from the ground up. It examines methods based on both attribute data and variable data. For variable data, it looks at the basic techniques that were initially developed for data from normal distributions and considers how they must be modified to deal with non-normal data. The importance of capability indices and their relationship to the percent of non-conforming items is discussed, as is the use of statistical tolerance limits. Finally, the book covers an extension of univariate capability analysis to the multivariate situation, which is often ignored.

Chapman and Hall/CRC Market: Statistics December 2017: 235 x 156: 268pp Hb: 978-1-138-03015-2: £69.99 Special price: £59.00 eBook: 978-1-315-40574-2 * For full contents and more information, visit: www.crcpress.com/9781138030152

Clustering remains a vibrant area of research in statistics.

Although there are many books on this topic, there are relatively few that are well founded in the theoretical aspects. This book presents an overview of the theory and applications of probabilistic clustering and variable selection, synthesizing the key research results of the last 50 years. It includes all the important theoretical details, and covers the probabilistic models and inference, robustness issues, optimization algorithms, validation techniques and variable selection methods. The book illustrates the different methods with simulated data and applies them to real-world data sets that can be easily downloaded from the web.

Chapman and Hall/CRC Market: Statistics September 2014: 254 x 178: 392pp Hb: 978-1-439-85796-0: £80.99 Special price: £68.00 eBook: 978-1-439-85797-7 * For full contents and more information, visit: www.crcpress.com/9781439857960

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3rd Edition

Quantitative Techniques in Business, Management and Finance

Sample Size Calculations in Clinical Research

A Case-Study Approach Umeshkumar Dubey, Tulsiramji Gaikwad-Patil College of Engineering & Technology, Nagpur, Maharashtra State, India, D P Kothari and G K Awari, Tulsiramji Gaikwad-Patil College of Engineering & Technology, Nagpur, Maharashtra State, India This book is especially relevant to undergraduates, postgraduates and researchers studying quantitative techniques as part of business, management and finance. It is an interdisciplinary book that covers all major topics involved at the interface between business and management on the one hand and mathematics and statistics on the other. Managers and others in industry and commerce who wish to obtain a working knowledge of quantitative techniques will also find this book useful.

Chapman and Hall/CRC Market: Statistics November 2016: 254 x 178: 476pp Hb: 978-1-498-76946-4: £115.00 Special price: £98.00 eBook: 978-1-315-36718-7 * For full contents and more information, visit: www.crcpress.com/9781498769464

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Shein-Chung Chow, Duke University School of Medicine, Jun Shao, Department of Statistics, University of Wisconsin, USA, Hansheng Wang and Yuliya Lokhnygina, Duke University School of Medicine, Durham, NC, USA Series: Chapman & Hall/CRC Biostatistics Series Like the well-regarded and bestselling second edition, Sample Size Calculations in Clinical Research, Third Edition, presents statistical procedures for performing sample size calculations during various phases of clinical research and development. This new edition will be updated throughout and will contain four entirely new chapters written especially for this edition.

Chapman and Hall/CRC Market: Statistics August 2017: 254 x 178: 510pp Hb: 978-1-138-74098-3: £77.00 Special price: £65.00 eBook: 978-1-315-18308-4 * For full contents and more information, visit: www.crcpress.com/9781138740983

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Self-Controlled Case Series Studies

Small Area Estimation and Microsimulation Modeling

A Modelling Guide with R Paddy Farrington, Open University, UK, Heather Whitaker, The Open University, Department of Mathematics & Statistics, Milton Keynes, Buckinghamshire, United Kingdom and Yonas Ghebremichael Weldeselassie, University of Warwick Series: Chapman & Hall/CRC Biostatistics Series This book provides the first comprehensive account of the self-controlled case series (SCCS) method, a statistical method for investigating associations between outcome events and time-varying exposures. The method only requires information from individuals who have experienced the event of interest, and automatically controls for multiplicative time-invariant confounders, even when these are unmeasured or unknown. It is increasingly being used in epidemiology, most frequently to study the safety of vaccines and pharmaceutical drugs.

Chapman and Hall/CRC Market: Statistics May 2018: 235 x 156: 362pp Hb: 978-1-498-78159-6: £77.00 Special price: £65.00 eBook: 978-0-429-49131-3 * For full contents and more information, visit: www.crcpress.com/9781498781596

Azizur Rahman, Charles Sturt University, Wagga Wagga, NSW, Australia and Ann Harding, University of Canberra, Australia This book gathers valuable information on the theories, applications, advantages, and limitations of all the small area estimation methodologies. It covers direct small area estimation methods and indirect statistical approaches, including empirical best linear unbiased prediction (EBLUP), empirical Bayes (EB) and hierarchical Bayes (HB) estimation methods. The book also presents indirect geographic estimation methods as well as a new, sophisticated spatial microsimulation modeling technology and its means of statistical reliability measures, including confidence interval estimations.

Chapman and Hall/CRC Market: Statistics December 2016: 235 x 156: 521pp Hb: 978-1-482-26072-4: £66.99 Special price: £57.00 eBook: 978-1-315-37214-3 * For full contents and more information, visit: www.crcpress.com/9781482260724

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Semialgebraic Statistics and Latent Tree Models

Spatial Point Patterns

Piotr Zwiernik, Università degli Studi di Genova, Genoa, Italy Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability This book explains how to analyze statistical models with hidden (latent) variables. It takes a systematic, geometric approach to studying the semialgebraic structure of latent tree models. The first part of the book introduces key concepts in algebraic statistics, focusing on methods that are helpful in the study of models with hidden variables. The second part illustrates important examples of tree models with hidden variables. The author develops the important concepts of -cumulants and links latent tree models and various tree spaces.

Chapman and Hall/CRC Market: Statistics August 2015: 235 x 156: 245pp Hb: 978-1-466-57621-6: £68.99 Special price: £59.00 eBook: 978-1-466-57622-3 * For full contents and more information, visit: www.crcpress.com/9781466576216

Methodology and Applications with R Adrian Baddeley, Centre for Exploration Targeting, University of Western Australia, Nedlands, Australia, Ege Rubak, Aalborg University, Denmark and Rolf Turner, University of Auckland, New Zealand Series: Chapman & Hall/CRC Interdisciplinary Statistics This book shows scientific researchers and applied statisticians from a wide range of fields how to analyze their spatial point pattern data. Making the techniques accessible to non-mathematicians, the authors draw on their 25 years of software development experiences, methodological research, and broad scientific collaborations to deliver a book that clearly and succinctly explains concepts and addresses real scientific questions. The book uses the authors’ R package spatstat throughout to process and analyze spatial point pattern data.

Chapman and Hall/CRC Market: Statistics November 2015: 254 x 178: 810pp Hb: 978-1-482-21020-0: £75.99 Special price: £64.00 eBook: 978-1-482-21021-7 * For full contents and more information, visit: www.crcpress.com/9781482210200

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Sharpening Your Advanced SAS Skills

Stated Preference Methods Using R

Sunil Gupta, Gupta Programming, California, USA This guide presents sophisticated SAS programming techniques, procedures, and tools, such as Proc SQL, hash tables, and SAS Macro programming, for any industry. It empowers both advanced programmers who need a quick refresher and programmers interested in learning new techniques. It shows how to take advantage of the latest SAS options and new SAS procedures. The book illustrates syntax with simple, common task-oriented examples and prepares readers for the advanced SAS certification exam. Mindmaps and process flowcharts are available on the author’s website.

Chapman and Hall/CRC Market: Statistics October 2015: 235 x 156: 156pp Hb: 978-1-482-24037-5: £59.99 Special price: £51.00 eBook: 978-1-482-24038-2 * For full contents and more information, visit: www.crcpress.com/9781482240375

Hideo Aizaki, Hokkaido University, Japan, Tomoaki Nakatani, Hokkaido University, Japan and Kazuo Sato, Rakuno Gakuen University, Hokkaido, Japan Series: Chapman & Hall/CRC The R Series This book explains how to use stated preference survey methods to measure people’s preferences based on decision making in hypothetical choice situations. Along with giving introductory explanations of the methods, the book collates information on existing R functions and packages as well as those prepared by the authors. It focuses on core SP methods, including contingent valuation, discrete choice experiments, and best–worst scaling.

All the example data sets and code are available online.

Chapman and Hall/CRC Market: Statistics August 2014: 235 x 156: 254pp Hb: 978-1-439-89047-9: £59.99 Special price: £51.00 eBook: 978-1-439-89048-6 * For full contents and more information, visit: www.crcpress.com/9781439890479

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State-Space Methods for Time Series Analysis

Statistical Methods for Drug Safety Robert D. Gibbons, University of Chicago, Illinois, USA and Anup Amatya, New Mexico State University, Las Cruces, USA Series: Chapman & Hall/CRC Biostatistics Series

Theory, Applications and Software Jose Casals, Universidad Complutense de Madrid, Spain, Alfredo Garcia-Hiernaux, Universidad Complutense de Madrid, Spain, Miguel Jerez, Universidad Complutense de Madrid, Spain, Sonia Sotoca, Universidad Complutense de Madrid, Spain and A. Alexandre Trindade, Texas Tech University, Lubbock, USA Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability Exploring the advantages of the state-space approach, this book presents numerous computational procedures that can be applied to a previously specified linear model in state-space form. It discusses model estimation and signal extraction; describes many procedures to combine, decompose, aggregate, and disaggregate a state-space form; and covers the connection between mainstream time series models and the state-space representation. Source code, a complete user manual, and other materials ® related to the authors’ MATLAB toolbox are available on a supplementary website.

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This book presents a wide variety of statistical approaches for analyzing pharmacoepidemiologic data. It covers both commonly used techniques, such as proportional reporting ratios for the analysis of spontaneous adverse event reports, and newer approaches, such as the use of marginal structural models for controlling dynamic selection bias in the analysis of large-scale longitudinal observational data. Many real examples from both mental and physical health disorders illustrate the use of the methods.

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Statistical Analysis of Contingency Tables

Statistical Methods for Healthcare Performance Monitoring Alex Bottle, Imperial College, London, United Kingdom and Paul Aylin, Imperial College, School of Medicine, London, England, UK Series: Chapman & Hall/CRC Biostatistics Series

Morten Fagerland, Oslo University Hospital, Norway, Stian Lydersen, NTNU, Regional Centre for Child and Adolescent Mental Health, Trondheim, Norway and Petter Laake, University of Oslo, Norway Statistical Analysis of Contingency Tables is an invaluable tool for statistical inference in contingency tables. It covers effect size estimation, confidence intervals, and hypothesis tests for the binomial and the multinomial distributions, unpaired and paired 2x2 tables, rxc tables, ordered rx2 and 2xc tables, paired cxc tables, and stratified tables. For each type of table, key concepts are introduced, and a wide range of intervals and tests, including recent and unpublished methods and developments, are presented and evaluated. The presentation is concise and easily accessible for readers with diverse professional backgrounds, with the mathematical details kept to a minimum.

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Statistical Methods for Healthcare Performance Monitoring covers measuring quality, types of data, risk adjustment, defining good and bad performance, statistical monitoring, presenting the results to different audiences and evaluating the monitoring system itself. Using examples from around the world, it brings all the issues and perspectives together in a largely non-technical way for clinicians, managers and methodologists.

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Statistical Methods in Psychiatry and Related Fields

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Longitudinal, Clustered, and Other Repeated Measures Data

Statistical Learning with Sparsity

Ralitza Gueorguieva Series: Chapman & Hall/CRC Interdisciplinary Statistics

The Lasso and Generalizations Trevor Hastie, Robert Tibshirani and Martin Wainwright Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability In this age of big data, the number of features measured on a person or object can be large and might be larger than the number of observations. This book shows how the sparsity assumption allows us to tackle these problems and extract useful and reproducible patterns from big datasets. The authors cover the lasso for linear regression, generalized penalties, numerical methods for optimization, statistical inference methods for fitted (lasso) models, sparse multivariate analysis, graphical models, compressed sensing, and much more.

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This book presents, at a non-technical level, several approaches for the analysis of correlated data: mixed models for continuous and categorical outcomes, nonparametric methods for repeated measures and growth mixture models for heterogeneous trajectories over time. Separate chapters are devoted to techniques for multiple comparison correction, analysis in the presence of missing data, adjustment for covariates, assessment of mediator and moderator effects, study design and sample size considerations. The focus is on the assumptions of each method, applicability and interpretation rather than on technical details.

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Statistical Studies of Income, Poverty and Inequality in Europe

Statistics in the Health Sciences Theory, Applications, and Computing Albert Vexler and Alan Hutson

Computing and Graphics in R using EU-SILC

This book is a compendium of biostatistical methods, ranging from simple graphical methods through bootstrap strategies to modern techniques. The emphasis is on applying the methods to various problems in medicine and epidemiology, but with sufficient mathematical rigor in describing the theory and methods. The book is full of detailed worked examples and case studies, software implementation (in R and SAS), exercises and exam questions, and student projects. It can be used as a course text in a graduate program in biostatistics for a second course in biostatistical methods, or by researchers in the field.

Nicholas T. Longford, Universitat Pompeu Fabra, Barcelona, Spain Series: Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences This book shows how to use statistical computing in survey analysis. It presents a linked set of analyses of European Union statistics on income and living conditions using the statistical environment R. The book covers informative graphics and advanced analytical and programming skills for dealing with large-scale databases. It also focuses on the application of complex methods to survey data, such as longitudinal analysis of continuous and categorical data, mixture modeling, and small-area estimation.

Chapman and Hall/CRC Market: Statistics July 2014: 235 x 156: 375pp Hb: 978-1-466-56832-7: £73.99 Special price: £63.00 eBook: 978-1-466-56833-4 * For full contents and more information, visit: www.crcpress.com/9781466568327

Chapman and Hall/CRC Market: Statistics February 2018: 235 x 156: 398pp Hb: 978-1-138-19689-6: £77.00 Special price: £65.00 eBook: 978-1-315-29377-6 * For full contents and more information, visit: www.crcpress.com/9781138196896

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Statistical Testing Strategies in the Health Sciences

Sufficient Dimension Reduction

Albert Vexler, Department of Biostatistics, The State University of New York at Buffalo, USA, Alan D. Hutson, Department of Biostatistics, The State University of New York at Buffalo, USA and Xiwei Chen, Department of Biostatistics, The State University of New York at Buffalo, USA Series: Chapman & Hall/CRC Biostatistics Series This book provides a compendium of statistical approaches for decision making, ranging from graphical methods and classical procedures through computationally intensive bootstrap strategies to advanced empirical likelihood techniques. It bridges the gap between theoretical statistical methods and practical procedures applied to the planning and analysis of health-related experiments. The book covers the underpinnings of appropriate statistical inference in addition to new theoretical methods, open problems, and novel testing procedures. It also offers software routines for a majority of the methods based on R and SAS. Chapman and Hall/CRC Market: Statistics May 2016: 254 x 178: 703pp Hb: 978-1-498-73081-5: £85.99 Special price: £73.00 eBook: 978-1-315-37005-7 * For full contents and more information, visit: www.crcpress.com/9781498730815

Methods and Applications with R Bing Li, Pennsylvania State University, University Park, PA Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability Sufficient dimension reduction was first introduced in the early 90's as a set of graphical and diagnostic tools for regression with many predictors. Over the past two decades or so it has developed into a powerful theory and technique for handling high-dimensional data. This book will introduce the main results and important techniques in this area, and explore the current frontiers of research. These will be accompanied by numerical studies, data analysis, and computer codes.

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Statistical Topics in Health Economics and Outcomes Research

The Data Book

Edited by Demissie Alemayehu, PhD, Joseph C. Cappelleri, PhD, Birol Emir, PhD and Kelly H. Zou, PhD, Pstat Series: Chapman & Hall/CRC Biostatistics Series There is a need for a volume that presents a coherent and unified review of the major issues that arise in application, especially from a statistical perspective. This book fulfills that need by presenting an overview of the key analytical issues and best practice. Special attention is paid to key assumptions and other salient features of statistical methods customarily used in the area, and appropriate and relatively comprehensive references are made to emerging trends. The content of the book is purposefully designed to be accessible to readers with basic quantitative backgrounds, while providing an in-depth coverage of complex statistical issues.

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Collection and Management of Research Data Meredith Zozus, University of Arkansas for Medical Sciences Department of Biomedical Informatics Texts used to train future generations of researchers and science workers do not fully cover the knowledge and skills needed in the areas of research data collection and management. Although this important topic is firmly planted in existing graduate curricula and covered in the research methods courses required of most master’s level programs, a comprehensive and authoritative text does not exist. This book fills that gap by covering the principles of data and information that every researcher should know.

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The Synoptic Problem and Statistics

Using R for Numerical Analysis in Science and Engineering

Andris Abakuks This book lays the foundations for a new area of interdisciplinary research that uses statistical techniques to investigate the synoptic problem in New Testament studies, which concerns the relationships between the Gospels of Matthew, Mark, and Luke. There are potential applications of the techniques to study other sets of similar documents. The book presents core statistical material on the use of hidden Markov models to analyze binary time series. The binary time series data sets and R code used are available on the author’s website.

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Victor A. Bloomfield, University of Minnesota, Minneapolis, USA Series: Chapman & Hall/CRC The R Series This practical guide shows how to use R and its add-on packages to obtain numerical solutions to complex mathematical problems commonly faced by scientists and engineers. Providing worked examples and code, the text not only addresses necessary aspects of the R programming language but also demonstrates how to produce useful graphs and statistically analyze and fit data to linear and nonlinear models. It covers Monte Carlo, stochastic, and deterministic methods and explores topics such as numerical differentiation and integration, interpolation and curve fitting, and optimization.

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Time Series Modelling with Unobserved Components

Weakly Stationary Random Fields, Invariant Subspaces and Applications

Matteo M. Pelagatti, University of Milan-Bicocca, Italy This work focuses on the unobserved components model (UCM) approach rather than general state space modeling. It provides enough theory so that readers understand the underlying mechanisms while keeping the mathematical rigor to a minimum. Detailed worked examples and case studies illustrate applications in economics and business. The author also discusses the available software for UCM, including SAS, Stamp, R, and Stata. The data and code are available on a supplementary website.

Vidyadhar S. Mandrekar, Michigan State University, East Lansing, USA and David A. Redett, Indiana University-Purdue University, Fort Wayne This is the first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with functional analysis). It comprehensively reviews the current literature as well as presenting the central issues and most important results within this area. The manuscript is suitable for advanced Ph.D. students and researchers, especially those conducting research on Gaussian theory.

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Uncertainty Analysis of Experimental Data with R

What Makes Variables Random

Benjamin David Shaw, University of California, Davis, USA This book covers methods for evaluation of experimental data commonly encountered in science and engineering.

Measurements of quantities that vary in a continuous fashion, e.g., the pressure of a gas, cannot be measured exactly and there will always be some uncertainty with these measured values.

For both pragmatic and scientific reasons, it is of interest to be able to quantify these uncertainties. The book is centered around using the (free) software package R for statistical calculations as well as uncertainty analyses.

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Probability for the Applied Researcher Peter J. Veazie, University of Rochester, New York, USA What Makes Variables Random: Probability for the Applied Researcher provides an introduction to the foundations of probability that underlie the statistical analyses used in applied research. By explaining probability in terms of measure theory, it gives the applied researchers a conceptual framework to guide statistical modeling and analysis, and to better understand and interpret results.

The book is intended to augment existing calculus-based textbooks on probability and statistics and is specifically targeted to researchers and advanced undergraduate and graduate students in the applied research fields of the social sciences, psychology, and health and healthcare sciences.

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INDEX BY TITLE

A Absolute Risk ........................................................................ 14 Accelerating MATLAB Performance ............................. 2 Adaptive Design Theory and Implementation Using SAS and R ............................................................................... 14 Adaptive Designs for Sequential Treatment Allocation .............................................................................. 14 Adaptive Survey Design ................................................... 14 Adversarial Risk Analysis ................................................. 14 Algebraic Operads ............................................................... 2 Analysis of Correlated Data with SAS and R ........... 15 Analysis with Ultrasmall Numbers ................................ 2 Analyzing Longitudinal Clinical Trial Data ............. 15 Applied Biclustering Methods for Big and High-Dimensional Data Using R ................................. 15 Applied Surrogate Endpoint Evaluation Methods with SAS and R ............................................................................... 15 Applied Survey Data Analysis ....................................... 15 Approximate Analytical Methods for Solving Ordinary Differential Equations ......................................................... 2

B

Data Book, The .................................................................... 28 Data Science Foundations ............................................. 19 Delay Differential Evolutions Subjected to Nonlocal Initial Conditions .................................................................. 4 Dictionary of Inequalities .................................................. 4 Difference Equations ........................................................... 5 Displaying Time Series, Spatial, and Space-Time Data with R ...................................................................................... 19 Dynamic Documents with R and knitr ..................... 19

Implementing Reproducible Research ...................... 22 Integration and Cubature Methods ............................. 7 Introductory Adaptive Trial Designs .......................... 22 Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications ................... 7

E

L

Elements of Quasigroup Theory and Applications ............................................................................ 5 Emerging Non-Clinical Biostatistics in Biopharmaceutical Development and Manufacturing .................................................................... 19 Equivalence .......................................................................... 19 Exploratory Multivariate Analysis by Example Using R ................................................................................................. 19 Exposure-Response Modeling ...................................... 20 Extending R ........................................................................... 20

Line Integral Methods for Conservative Problems .................................................................................. 9 Linear Mixed Models ......................................................... 22

F

Background and Recent Developments of Metric Fixed Point Theory ............................................................................ 2 Bayesian Inference for Partially Identified Models .................................................................................... 15 Bayesian Regression Modeling with INLA ............... 17 Beyond First Order Model Theory ................................... 3 Big Data in Omics and Imaging .................................. 17 Bioequivalence and Statistics in Clinical Pharmacology .................................................................... 17 Biosimilar Clinical Development: Scientific Considerations and New Methodologies ................ 17 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations ...................... 3 Bounds for Determinants of Linear Operators and their Applications ................................................................. 3

C Capture-Recapture Methods for the Social and Medical Sciences ................................................................ 17 Chain Event Graphs .......................................................... 17 Change-Point Analysis in Nonstationary Stochastic Models .................................................................................... 18 Clinical Trial Biostatistics and Biopharmaceutical Applications ......................................................................... 18 Clinical Trial Optimization Using R ............................ 18 Cluster Randomised Trials .............................................. 18 Computation with Linear Algebraic Groups ............ 3 Computational Aspects of Polynomial Identities ................................................................................... 3 Computational Methods for Numerical Analysis with R ................................................................................................. 18 CounterExamples ................................................................. 3 CRC Standard Curves and Surfaces with Mathematica ......................................................................... 4 CRC Standard Mathematical Tables and Formulas .................................................................................. 4 Crocheting Adventures with Hyperbolic Planes ........................................................................................ 4 Crossing Numbers of Graphs ........................................... 4

D Data and Safety Monitoring Committees in Clinical Trials ........................................................................................ 18

Fast Solvers for Mesh-Based Computations ............. 5 Financial Mathematics of Market Liquidity, The ............................................................................................ 13 Flexible Regression and Smoothing ........................... 20 Fuzzy Analytic Hierarchy Process ................................ 20

G Generalized Structured Component Analysis ................................................................................... 20 Geometric Modeling and Mesh Generation from Scanned Images ................................................................... 5 Graph Polynomials .............................................................. 5 Graph Searching Games and Probabilistic Methods .................................................................................... 5 Group Theoretic Cryptography ....................................... 6

H Handbook of Applications of Chaos Theory ............. 6 Handbook of Big Data ..................................................... 20 Handbook of Cluster Analysis ....................................... 21 Handbook of Discrete and Combinatorial Mathematics .......................................................................... 6 Handbook of Discrete and Computational Geometry ................................................................................. 6 Handbook of Graph Theory, Combinatorial Optimization, and Algorithms ........................................ 6 Handbook of Linear Partial Differential Equations for Engineers and Scientists .................................................... 6 Handbook of Mixed Membership Models and Their Applications ......................................................................... 21 Handbook of Ordinary Differential Equations ................................................................................. 7 Handbook of Peridynamic Modeling .......................... 7 Handbook of Quantile Regression ............................. 21 Handbook of Regression Methods ............................. 21 Handbook of Statistical Graphics Using SAS ODS, A ................................................................................................. 14 Hidden Markov Models for Time Series ..................... 21 Hierarchical Modeling and Analysis for Spatial Data ......................................................................................... 21 High-Performance Computing in Finance ................ 7

I

K Knot Theory ............................................................................. 7

31

R Randomization, Masking, and Allocation Concealment ....................................................................... 25 Recent Advances in Operator Theory and Operator Algebras ................................................................................. 11 Risk Parity Fundamentals ............................................... 11 Robust Cluster Analysis and Variable Selection ................................................................................. 25

S

M Making Mathematics with Needlework ..................... 9 Mathematica Beyond Mathematics ............................ 9 Mathematical Modelling of Waves in Multi-Scale Structured Media .................................................................. 9 Mathematical Models of Plant-Herbivore Interactions ............................................................................. 9 Matrix Inequalities and Their Extensions to Lie Groups ....................................................................................... 9 Measuring Statistical Evidence Using Relative Belief ........................................................................................ 22 Metasolutions of Parabolic Equations in Population Dynamics .............................................................................. 10 Missing and Modified Data in Nonparametric Estimation ............................................................................. 22 Mixture Model-Based Classification .......................... 22 Model-free Hedging .......................................................... 10 Modern Adaptive Randomized Clinical Trials ........................................................................................ 24 Modern Directional Statistics ....................................... 24 Monomial Algebras .......................................................... 10 Multiregional Clinical Trials for Simultaneous Global New Drug Development ................................................. 24

N Navier-Stokes Problem in the 21st Century, The ............................................................................................

Next-Generation Sequencing Data Analysis ...........

Nonlinear Reaction-Diffusion-Convection Equations ..............................................................................

Numerical Methods for Fractional Calculus ...........

13 24 10 10

O Optimization and Differentiation ............................... 10

Sample Size Calculations in Clinical Research ................................................................................. 25 Search and Foraging ........................................................ 11 Second-Order Adjoint Sensitivity Analysis Methodology, The .............................................................. 13 Self-Controlled Case Series Studies ............................. 26 Semialgebraic Statistics and Latent Tree Models .................................................................................... 26 Set Theoretical Aspects of Real Analysis ................... 12 Sharpening Your Advanced SAS Skills ...................... 26 Small Area Estimation and Microsimulation Modeling ................................................................................ 26 Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics ............................ 12 Spatial Point Patterns ....................................................... 26 Spectral and Scattering Theory for Second Order Partial Differential Operators ........................................ 12 State-Space Methods for Time Series Analysis ................................................................................... 27 Stated Preference Methods Using R ........................... 26 Statistical Analysis of Contingency Tables .............. 27 Statistical Learning with Sparsity ................................ 27 Statistical Methods for Drug Safety ........................... 27 Statistical Methods for Healthcare Performance Monitoring ............................................................................ 27 Statistical Methods in Psychiatry and Related Fields ........................................................................................ 27 Statistical Studies of Income, Poverty and Inequality in Europe ................................................................................ 28 Statistical Testing Strategies in the Health Sciences .................................................................................. 28 Statistical Topics in Health Economics and Outcomes Research ................................................................................. 28 Statistics in the Health Sciences ................................... 28 Stochastic Cauchy Problems in Infinite Dimensions ........................................................................... 12 Stochastic Partial Differential Equations ................. 12 Stochastic Volatility Modeling ...................................... 12 Sufficient Dimension Reduction .................................. 28 Synoptic Problem and Statistics, The ........................ 30

T

P Perfect Simulation ............................................................. 24 Power Analysis of Trials with Multilevel Data ......................................................................................... 24 Practical Guide to Geometric Regulation for Distributed Parameter Systems, A ................................. 2 Pragmatics of Uncertainty ............................................. 25 Process Capability Analysis ............................................ 25 Pseudolinear Functions and Optimization ............ 11

Q Quadratic Programming with Computer Programs ............................................................................... 11 Quantitative Graph Theory ........................................... 11 Quantitative Techniques in Business, Management and Finance ......................................................................... 25

Time Series Modelling with Unobserved Components ........................................................................ 30 Truth Value Algebra of Type-2 Fuzzy Sets, The ............................................................................................ 13 Twists, Tilings, and Tessellations .................................. 13

U Uncertainty Analysis of Experimental Data with R ................................................................................................. 30 Using R for Numerical Analysis in Science and Engineering .......................................................................... 30

V Variational-Hemivariational Inequalities with Applications ......................................................................... 13

W Weakly Stationary Random Fields, Invariant Subspaces and Applications ......................................... 30 What Makes Variables Random .................................. 30

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INDEX BY AUTHOR

A Abakuks, Andris .................................................................. 30 Airoldi, Edoardo M. ........................................................... 21 Aizaki, Hideo ......................................................................... 26 Alemayehu, PhD, Demissie .......................................... 28 Alonso, Ariel .......................................................................... 15 Altman, Yair M. ....................................................................... 2 Aulisa, Eugenio ....................................................................... 2

B Baddeley, Adrian ................................................................ 26 Baldi Antognini, Alessandro ........................................ 14 Banerjee, Sudipto .............................................................. 21 Banks, David L. ..................................................................... 14 Barker, Kerry B. ..................................................................... 17 belcastro, sarah-marie ....................................................... 9 Bercovici, Hari ....................................................................... 11 Berger, Vance ....................................................................... 25 Bergomi, Lorenzo .............................................................. 12 Bertaccini, Daniele ............................................................... 7 Best, Michael J. .................................................................... 11 Bloomfield, Victor A. ......................................................... 30 Bobaru, Florin .......................................................................... 7 Bohning, Dankmar ............................................................ 17 Bonato, Anthony ................................................................... 5 Bottle, Alex ............................................................................. 27 Bourchtein, Andrei ............................................................... 3 Bremner, Murray R. .............................................................. 2 Brodsky, Boris ....................................................................... 18 Brugnano, Luigi ..................................................................... 9 Bullen, Peter ............................................................................. 4 Burlică, Monica-Dana ......................................................... 4 Bühlmann, Peter ................................................................. 20

C Cacuci, Dan Gabriel ..........................................................

Casals, Jose ............................................................................

Chambers, John M. ...........................................................

Chang, Mark ..........................................................................

Chang, Mark ..........................................................................

Chen, Joshua ........................................................................

Cherniha, Roman ...............................................................

Chow, Pao-Liu ......................................................................

Chow, Shein-Chung .........................................................

Collazo, Rodrigo A. ............................................................

13 27 20 14 22 24 10 12 25 17

D de Graaf, Willem Adriaan ................................................. 3 Dehmer, Matthias .............................................................. 11 Dempster, M. A. H. ............................................................... 7 Der, Geoff ................................................................................ 14 Dmitrienko, Alex ................................................................. 18 Dubey, Umeshkumar ...................................................... 25

E Efromovich, Sam ................................................................ 22 Emrouznejad, Ali ................................................................ 20 Evans, Michael ..................................................................... 22

F

Harding, John ....................................................................... 13 Hastie, Trevor ........................................................................ 27 Hayes, Richard J. ................................................................. 18 Heeringa, Steven G. .......................................................... 15 Hennig, Christian ............................................................... 21 Henry-Labordere, Pierre ................................................ 10 Herson, Jay ............................................................................. 18 Howard, II, James P ........................................................... 18 Hrbacek, Karel ......................................................................... 2 Huber, Mark L. ...................................................................... 24 Husson, Francois ................................................................ 19 Hwang, Heungsun ............................................................ 20

I Iovino, Jose ............................................................................... 3

J Johannesen, Steinar ......................................................... 12

K Kadane, Joseph B. .............................................................. 25 Kagan, Eugene .................................................................... 11 Kanel-Belov, Alexei .............................................................. 3 Kasim, Adetayo ................................................................... 15 Kharazishvili, Alexander B. ............................................ 12 Koenker, Roger .................................................................... 21

33

Stasinopoulos, Mikis D. ................................................... 20 Stodden, Victoria ................................................................ 22 Sverdlov, Oleksandr .......................................................... 24 Sánchez León, José Guillermo ..................................... 9

T Taimina, Daina ........................................................................

Tam, Tin-Yau ............................................................................

Thulasiraman, Krishnaiyan “KT” ....................................

Toth, Csaba D. .........................................................................

4 9 6 6

V Veazie, Peter J. ..................................................................... 30 Vexler, Albert ........................................................................ 28 Vexler, Albert ........................................................................ 28 Villarreal, Rafael ................................................................... 10 von Seggern, David H. ....................................................... 4

W Wang, Jixian ..........................................................................

Wang, Xiaofeng ..................................................................

Wang, Xinkun .......................................................................

West, Brady T. .......................................................................

20 17 24 22

X Xie, Yihui .................................................................................. 19 Xiong, Momiao .................................................................... 17

L Lang, Robert J. .....................................................................

Lemarie-Rieusset, Pierre Gilles ...................................

Ley, Christophe ...................................................................

Li, Bing ......................................................................................

Li, Changpin ..........................................................................

Longford, Nicholas T. .......................................................

López-Gómez, Julián .......................................................

13 13 24 28 10 28 10

M Mallinckrodt, Craig ............................................................ 15 Mandrekar, Vidyadhar S. ................................................ 30 Manturov, Vassily Olegovich ......................................... 7 McNicholas, Paul D. .......................................................... 22 Melnikova, Irina V. .............................................................. 12 Mickens, Ronald E. ............................................................... 5 Mishra, Shashi Kant ........................................................... 11 Mochizuki, Kiyoshi ............................................................. 12 Moerbeek, Mirjam ............................................................. 24 Movchan, Alexander B. ..................................................... 9 Murtagh, Fionn ................................................................... 19

Y Yang, Harry ............................................................................ 19 Young, Derek Scott ........................................................... 21 Young, Walter R. ................................................................. 18

Z Zhang, Yongjie Jessica ...................................................... 5 Zozus, Meredith .................................................................. 28 Zucchini, Walter .................................................................. 21 Zwiernik, Piotr ...................................................................... 26 Zwillinger, Daniel .................................................................. 4

P Paszynski, Maciej ................................................................... 5 Patterson, Scott D. ............................................................. 17 Pelagatti, Matteo M. ......................................................... 30 Perpinan Lamigueiro, Oscar ........................................ 19 Pfeiffer, Ruth M. ................................................................... 14 Polhemus, Neil W. ............................................................. 25 Polyanin, Andrei D. .............................................................. 6 Polyanin, Andrei D. .............................................................. 7

Q

Fagerland, Morten ............................................................ 27 Farrington, Paddy .............................................................. 26 Feng, Zhilan ............................................................................. 9 Freeden, Willi ........................................................................... 7

G Galaktionov, Victor A. ......................................................... 3 Gibbons, Robert D. ........................................................... 27 Gil', Michael .............................................................................. 3 Golbeck, Amanda L. ......................................................... 19 González Vasco, Maria Isabel ......................................... 6 Gopal, Dhananjay ................................................................. 2 Gueant, Olivier ..................................................................... 13 Gueorguieva, Ralitza ........................................................ 27 Gupta, Sunil ........................................................................... 26 Gustafson, Paul .................................................................... 15

H

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Qian, Edward E. ................................................................... 11

R Radhika, T.S.L ........................................................................... 2 Rahman, Azizur ................................................................... 26 Ritter, Gunter ........................................................................ 25 Rosen, Kenneth H. ................................................................ 6

S Schaefer, Marcus ................................................................... 4 Schouten, Barry ................................................................... 14 Serovajsky, Simon .............................................................. 10 Shaw, Benjamin David .................................................... 30 Shcherbacov, Victor ............................................................ 5 Shi, Yongtang ......................................................................... 5 Shoukri, Mohamed M. ..................................................... 15 Skiadas, Christos H. .............................................................. 6 Sofonea, Mircea .................................................................. 13

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