Mathematics / Mathematik 2023 | De Gruyter

MATHEMATICS MATHEMATIK 2023

SINCE 1826

JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK

Managing Editor: Daniel Huybrechts

Edited by Ana Caraiani, Tobias Colding, Daniel Huybrechts, Jun-Muk Hwang, Olivier Schiffmann, Jakob Stix, Gábor Székelyhidi

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Language of Publication English, German, French

ISSN 0075-4102 e-ISSN 1435-5345

f Rich publishing tradition reaching back to 1826

f One of the top journals in mathematics

f Internationally recognized editorial board

f Large circulation

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IMPACT FACTOR 2021: 1.809

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Further information: www.degruyter.com/crelle

The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical in the world. Founded in 1826 by August Leopold Crelle, and edited by him until his death in 1855, it soon became widely known under the name of Crelle’s Journal. In the 195 years of its existence, Crelle’s Journal has developed into an outstanding scholarly periodical with one of the largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in Clarivate’s Journal Citation Report.

Managing Editor

Daniel Huybrechts, Universität Bonn, Germany.

Editors

Ana Caraiani, Rheinische Friedrich-Wilhelms-Universität, Bonn, Germany; Tobias H. Colding, Massachusetts Institute of Technology, Cambridge, MA, USA; Daniel Huybrechts, Universität Bonn, Germany; Jun-Muk Hwang, Korea Institute for Advanced Study, Seoul, Republic of Korea; Olivier Schiffmann, Faculté des Sciences d'Orsay, France; Jakob Stix, Johann Wolfgang Goethe-Universität, Frankfurt am Main, Germany; Gábor Székelyhidi, Northwestern University, Evanston, USA.

Dear Readers,

We are pleased to present our mathematics program of books and journals for 2023.

In the following pages, you can find our forthcoming mo nographs across the mathematical sciences as well as our new textbooks. Also included is a selection of mathematical journals, like our flagship Journal für die reine und angewandte Mathematik (Crelle’s Journal).

De Gruyter is happy to express its interest in working with publishing partners and to highlight the key titles from mathe matical sciences. We are also happy to let the mathematical community know that we are in the process of updating our platform to help meet the changing needs of digital publishing. We believe that the selection of topics and our books and jour nals will be of great value to the mathematical community as a whole. Please do reach out to us at the address below if you wish to submit a proposal for a new project or have any items you would like to discuss.

Steven Elliot Senior Acquisitions Editor Mathematics Steven.Elliot@degruyter.com

INFORMATIK COMPUTER SCIENCES

Copy Date/Redaktionsschluss 2022-10-20

Cover Vivien Böhme

Das Covermotiv dieses Katalogs stammt aus einem Grafikwettbe werb, den der Verlag in Kooperation mit einer Schülergruppe des Lette Vereins Berlin durchgeführt hat. Wir danken Vivien Böhme für ihre gelungene Umsetzung. The cover motif for this catalog is the result of a graphics compe tition held by the publishing house in cooperation with a group of students from the Lette Verein Berlin. We'd like to thank Vivien Böhme for her successful realization.

*Preise in US$ nur für Bestellungen aus Nord- und Südamerika Preise in £ nur für Bestellungen aus Großbritannien. Die €-Preise bezeichnen, sofern nicht anders angegeben, die in Deutschland verbindlichen Ladenpreise. Preise zuzüglich Versandkosten. Preis änderungen vorbehalten. UVP: Unverbindliche Preisempfehlung.

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STUDIES IN MATHEMATICS

Edited by Carsten Carstensen, Gavril Farkas, Nicola Fusco, Fritz Gesztesy, Niels Jacob, Zenghu Li, Guozhen Lu, Karl-Hermann Neeb, Rene Schilling and Volkmar Welker

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.

The series De Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.

While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathemati cians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community.

Recent and Forthcoming Titles

Volume 87

René Erlin Castillo, FOURIER MEETS HILBERT AND RIESZ

An Introduction to the Corresponding Transforms

07/2022. Approx. 300 pages

HC RRP € 149.95 [D] /  US$ 154.99 / £ 134.50

ISBN 978-3-11-078405-3

eBook RRP € 149.95 [D] /  US$ 154.99 / £ 134.50

Subscription price for Institutes € 139.00 [D] / US$ 145.00 /  £ 120.00

PDF ISBN 978-3-11-078409-1 ePUB ISBN 978-3-11-078412-1 f page 5

Min Ru

NEVANLINNA THEORY AND MINIMAL SURFACES

09/2023. Approx. 250 pages

HC RRP € 144.95 [D] /

US$ 149.99 / £ 130.00

ISBN 978-3-11-099982-2

eBook RRP € 144.95 [D] /

US$ 149.99/ £ 130.00

Subscription price for Institutes € 139.00 [D] / US$ 145.00 /  £ 120.00

PDF ISBN 978-3-11-098955-7

ePUB ISBN 978-3-11-098996-0

f page 6

Volume 88

Joel L. Schiff

TOPICS IN COMPLEX ANALYSIS

10/2022. Approx. 300 pages

HC RRP € 149.95 [D] /  US$ 154.99 / £ 134.50 ISBN 978-3-11-075769-9

eBook RRP € 149.95 [D] /  US$ 154.99 / £ 134.50

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PDF ISBN 978-3-11-075782-8 ePUB ISBN 978-3-11-075787-3

Volume 89

Marco Abate HOLOMORPHIC DYNAMICS ON HYPERBOLIC RIEMANN SURFACES

11/2022. Approx. 380 pages HC RRP € 129.95 [D] /  US$ 133.99 / £ 117.00 ISBN 978-3-11-060105-3 eBook RRP € 116.95 [D]  /  US$ 133.99/ £ 117.00

Subscription price for Institutes € 139.00 [D] / US$ 145.00 /  £ 120.00 PDF ISBN 978-3-11-060197-8 ePUB ISBN 978-3-11-059874-2

Volume 90

William M. McGovern REPRESENTATION THEORY AND GEOMETRY OF THE FLAG VARIETY

10/2022. Approx. 140 pages

HC RRP € 124.95 [D] /  US$ 129.99 / £ 113.00 ISBN 978-3-11-076690-5

eBook RRP € 124.95 [D] /  US$ 129.99 / £ 113.00

Subscription price for Institutes € 139.00 [D] / US$ 145.00 /  £ 120.00 PDF ISBN 978-3-11-076694-3 ePUB ISBN 978-3-11-076696-7

Volume 46

Fedor Sukochev, Steven Lord, Dmitriy Zanin

SINGULAR TRACES

Volume 2: Applications

06/2023. 2nd rev. ed., Approx. 360 pages

HC RRP € 134.95 [D] /

US$ 142.99 / £ 124.00

ISBN 978-3-11-070000-8

eBook RRP € 134.95 [D] /  US$ 142.99 / £ 124.00

Subscription price for Institutes

€ 139.00 [D] / US$ 145.00 /  £ 120.00

PDF ISBN 978-3-11-070017-6

ePUB ISBN 978-3-11-070024-4

f page 4

Heiko von der Mosel, Pawel Strzelecki NONLOCAL CURVATURE ENERGIES

With Applications to Geometric Knot Theory 10/2023. Approx. 260 pages

HC RRP € 109.95 [D] /  US$ 113.99 / £ 98.50 ISBN 978-3-11-060902-8

eBook RRP € 109.95 [D] /  US$ 113.99 / £ 98.50

Subscription price for Institutes € 139.00 [D] / US$ 145.00 /  £ 120.00 PDF ISBN 978-3-11-061035-2 ePUB ISBN 978-3-11-060912-7 f

Johnny Henderson,

BOUNDARY VALUE PROBLEMS FOR

FINITE DIFFERENCE EQUATIONS AND SYSTEMS

03/2023. Approx. 165 pages

HC RRP € 134.95 [D] /  US$ 137.99 / £ 120.00

ISBN 978-3-11-103931-2

eBook RRP € 134.95 [D] /  US$ 137.99 / £ 120.00

Subscription price for Institutes

€ 139.00 [D] / US$ 145.00 /  £ 120.00

PDF ISBN 978-3-11-104037-0

ePUB ISBN 978-3-11-104045-5

Rodica Luca

SECONDORDER

Singular Traces

Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald

Volume 2: Applications

Series: De Gruyter Studies in Mathematics 46/2 July 2023 English, X, 350 pp.

HC *RRP € 134.95 [D] / US$ 142.99 / £ 124.00 ISBN 978-3-11-070000-8

eBook *RRP € 134.95 [D] / US$ 142.99 / £ 124.00

PDF ISBN 978-3-11-070017-6 ePUB ISBN 978-3-11-070024-4

This volume introduces noncommutative in tegration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied, includ ing the integration of quantum differentials, measures on fractals, and Connes’ formula on the Hochschild class of the Chern character.

Diximier Trace; Hilbert Space; Singular Trace; Pseudo Differential Operator

Steven Lord, U of Adelaide, Australia; Fedor Sukochev, Dmitriy Zanin and Edward McDonald, U of New South Wales, Australia.

[Set Singular Traces, Volume 1+2]

Series: De Gruyter Studies in Mathematics 46 May 2023

English, Approx. pp.2nd corr. and exten. edition

Set *RRP € 198.95 [D] / US$ 228.99 / £ 181.00 ISBN 978-3-11-070318-4

This is the first complete monograph dedi cated to singular traces. For mathematician the text offers, due to Kalton’s contribution, a complete theory of traces on symmetrically normed ideals of compact operators, updated in this edition on the Pietsch correspondence. For mathematical physicists and other users of Connes’ noncommutative geometry the text offers a complete reference to Dixmier traces and the mathematical features of singu lar traces.

Steven Lord, University of Adelaide, Australia; Fedor Sukochev and Dmitriy Zanin, University of New South Wales, Sydney, Australia.

Igor V. Nikolaev Noncommutative Geometry

A Functorial Approach

Series: De Gruyter Studies in Mathematics 66

2. Edition/2nd Edition July 2022

English, This is the revised second edition. XX, 380 pp., 60 fig.

HC *RRP € 134.95 [D] / US$ 137.99 / £ 120.00 ISBN 978-3-11-078860-0

eBook *RRP € 134.95 [D] / US$ 137.99 / £ 120.00 PDF ISBN 978-3-11-078870-9 ePUB ISBN 978-3-11-078881-5

This updated second edition covers the basics of noncommutative geometry and its applica tions in topology, algebraic geometry, and number theory. A survey of noncommutative geometry with historical remarks, and a list of exercises is included. Two new chapters are included on Arithmetic Topology and Quantum Arithmetic. The presentation is ideal for graduate students and researchers with interests in noncommutative geometry.

Algebraic geometry; number theory; continuous geometries; topology; noncommutative algebraic geometry; quantum Arithmetic

Igor V. Nikolaev, St. John’s University, USA.

Dekel

Pointwise Variable Anisotropic Function Spaces on ℝⁿ

Series: De Gruyter Studies in Mathematics 85

April 2022 English, X, 240 pp., 3 fig.

HC *RRP € 139.95 [D] / US$ 142.99 / £ 124.00 ISBN 978-3-11-076176-4

eBook *RRP € 139.95 [D] / US$ 142.99 / £ 124.00

PDF ISBN 978-3-11-076179-5

ePUB ISBN 978-3-11-076187-0

Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a sufficient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This set ting is sometimes too general, and the theory is limited. Here, we present a set of flexible ellipsoid covers of Rn that replace the Euclid ean balls and support a generalization of the theory with fewer limitations.

Shai Dekel, School of Mathematical Sciences, Tel-Aviv University, Israel.

René Erlin Castillo

Fourier Meets Hilbert and ℝiesz

An Introduction to the Corresponding Transforms

Series: De Gruyter Studies in Mathematics 87 August 2022 English, X, 296 pp., 11 fig.

HC *RRP € 149.95 [D] / US$ 154.99 / £ 134.50 ISBN 978-3-11-078405-3

eBook *RRP € 149.95 [D] / US$ 154.99 / £ 134.50

PDF ISBN 978-3-11-078409-1 ePUB ISBN 978-3-11-078412-1

This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms.

Ideal for self-study or a one semester course in Fourier analysis, included are detailed examples and exercises.

Fourier transform; Hilbert transform; Riesz trransform

René Erlin Castillo, Nationale U of Colombia, Colombia.

William M. McGovern ℝepresentation Theory and Geometry of the Flag Variety

Series: De Gruyter Studies in Mathematics 90 November 2022 English, VIII, 128 pp.

HC *RRP € 124.95 [D] / US$ 129.99 / £ 113.00 ISBN 978-3-11-076690-5

eBook *RRP € 124.95 [D] / US$ 129.99 / £ 113.00 PDF ISBN 978-3-11-076694-3 ePUB ISBN 978-3-11-076696-7

This comprehensive reference begins with a review of the basics followed by a presenta tion of flag varieties and finite-dimensional representations in classical types and subva rieties of flag varieties and their singularities. Associated varieties and characteristic cycles are covered as well and Kazhdan-Lusztig polynomials are treated. The coverage con cludes with a discussion of pattern avoidance and singularities.

William M. McGovern, University of Washington, USA.

Shai

Johnny Henderson, Rodica Luca Boundary Value Problems for Second-Order Finite Difference Equations and Systems

Series: De Gruyter Studies in Mathematics 91 March 2023

English, Approx. X, 160 pp.

HC *RRP € 134.95 [D] / US$ 137.99 / £ 120.00 ISBN 978-3-11-103931-2

eBook *RRP € 134.95 [D] / US$ 137.99 / £ 120.00

PDF ISBN 978-3-11-104037-0

ePUB ISBN 978-3-11-104045-5

This is an indispensable reference for those mathematicians that conduct research activ ity in applications of fixed-point theory to boundary value problems for nonlinear func tional equations. Coverage includes secondorder finite difference equations and systems of difference equations subject to multi-point boundary conditions, various methods to study the existence of positive solutions for difference equations, and Green functions. Boundary value equations; finite difference equations and systems; nonnegative nonlinearitiesuncoupled multi-point boundary conditions; positive parameters

Johnny Henderson, Baylor University, USA; Rodica Luca, Technical University of Iasi, RO.

Paweł Strzelecki, Heiko von der Mosel Nonlocal Curvature Energies With Applications to Geometric Knot Theory

Series: De Gruyter Studies in Mathematics October 2023

English, Approx. XII, 250 pp., 30 fig.

HC *RRP € 109.95 [D] / US$ 113.99 / £ 98.50 ISBN 978-3-11-060902-8

eBook *RRP € 109.95 [D] / US$ 113.99 / £ 98.50 PDF ISBN 978-3-11-061035-2 ePUB ISBN 978-3-11-060912-7

This authoritative book presents an analytical approach to geometric knot theory, studying knots and their energies from the variational point of view. The first part of the book cov ers the basics of knot theory, knot energies and their properties, and related regularity is sues, while the second part extends the study of such nonlocal curvature functionals to higher dimensions, a much more complicated endeavor and an area of current research.

Geometric Measure Theory; Knot Theory; Curvature; Regularity; Variation Calculation Paweł Strzelecki, University of Warsaw, Poland; Heiko von der Mosel, RWTH Aachen University, Germany.

Min Ru Nevanlinna Theory and Minimal Surfaces

Series: De Gruyter Studies in Mathematics September 2023

English, Approx. X, 240 pp., 20 fig.

HC *RRP € 144.95 [D] / US$ 149.99 / £ 130.00 ISBN 978-3-11-099982-2

eBook *RRP € 144.95 [D] / US$ 149.99 / £ 130.00 PDF ISBN 978-3-11-098955-7 ePUB ISBN 978-3-11-098996-0

The study of minimal surfaces is an impor tant subject in differential geometry, and Nevanlinna theory is a classical subject in complex analysis. This book discusses the interaction between these two subjects. In particular, it describes the study of the value distribution properties of the Gauss map of minimal surfaces through Nevanlinna theory, a project initiated by the prominent differen tial geometers Shiing-Shen Chern and Robert Osserman.

Nevanlinna Theory; Minimal Spaces; Gauss Maps; Theory of Holomorphic Curves

Min Ru, University of Houston, USA.

Mariusz Urbański, Mario Roy, Sara Munday

Non-Invertible Dynamical Systems

Mariusz Urbański, Mario Roy, Sara Munday

Volume 3: Analytic Endomorphisms of the ℝiemann Sphere

Series: De Gruyter Expositions in Mathematics 69/3 April 2023 English, Approx. XV, 385 pp., 50 fig.

HC *RRP € 139.95 [D] / US$ 142.99 / £ 124.00 ISBN 978-3-11-076984-5

eBook *RRP € 139.95 [D] / US$ 142.99 / £ 124.00 PDF ISBN 978-3-11-076987-6 ePUB ISBN 978-3-11-076989-0

This Volume 3, is part of a series entitled Non-Invertible Dynamical Systems and pres ents topological dynamics, thermodynamic formalism, and fractal geometry of rational functions of the Riemann sphere.Volume 1 covers topological pressure, entropy, variational principle, equilibrium states and abstract ergodic theory. Volume 2 presents distance expanding maps, Lasota-Yorke maps and fractal geometry with applications to conformal IFSs

Dynamic systems; fractal geometry; thermodynamic formalism; and Riemann sphere

Mariusz Urbański, University of North Texas, USA; Mario Roy, York University, Canada; Sara Mundy, John Cabot University, Italy.

Volume 1–3: [Set NonInvertible Dynamical Systems, Vol 1–3]

Series: De Gruyter Expositions in Mathematics April 2023 English, LXXIII, 1309 pp.

Set *RRP € 299.00 [D] / US$ 340.00 / £ 272.00 ISBN 978-3-11-070679-6

The book contains detailed treatment of ther modynamic formalism. Topological pressure, entropy, variational principle, and equilib rium states are presented in detail in the first volume. Abstract ergodic theory is also given a significant attention. Distance expanding maps and Lasota-Yorke maps of an interval are then treated in the second volume, which also contains a chapter on fractal geometry and its applications to conformal systems.

Mariusz Urbański, University of North Texas, USA; Mario Roy, York University, Toronto, Canada; Sara Munday, University of Pisa, Italy.

Sergei S. Akbarov Stereotype Spaces and Algebras

Series: De Gruyter Expositions in Mathematics 73 August 2022 English, X, 784 pp.

HC *RRP € 210.00 [D] / US$ 214.99 / £ 187.00 ISBN 978-3-11-078086-4

eBook *RRP € 210.00 [D] / US$ 214.99 / £ 187.00 PDF ISBN 978-3-11-078091-8 ePUB ISBN 978-3-11-078096-3

The term “stereotype space” was introduced in 1995 and is used for a category of locally convex spaces with surprisingly elegant prop erties. Its study gives an unexpected point of view on functional analysis that brings this field closer to other main branches of math ematics, namely, to algebra and geometry.

Duality; locally convex space; stereotype space; stereotype algebra; Hopf algebra; group algebra; functional algebra; integration; closed monoidal category; enriched category; Tannaka theorem; approximation property; *-autonomous category

Sergei S. Akbarov, HSE, Moscow Institute of Electronics and Mathematics, Russia.

Vladimir E. Nazaikinskii, Anton Savin, Elmar Schrohe

Quantized Canonical Transformations in Elliptic Theory

Series: De Gruyter Expositions in Mathematics

December 2023

English, Approx. XV, 300 pp., 30 fig.

HC *RRP € 174.95 [D] / US$ 178.99 / £ 155.50 ISBN 978-3-11-076782-7

eBook *RRP € 174.95 [D] / US$ 178.99 / £ 155.50

PDF ISBN 978-3-11-076784-1 ePUB ISBN 978-3-11-076791-9

Quantized canonical transformations were introduced by Fock, Hörmander, and Maslov and play an important role in quantum mechanics and the theory of hyperbolic equa tions. There is a recent interest in applica tions of quantized canonical transformations in elliptic theory motivated by problems in Connes’ noncommutative geometry and nonlocal problems in mathematical phys ics. This book thoroughly describes these developments.

Canonical Transformation; Elliptic Theory; Quantized

Vladimir Nazaikinskii, Russian Academy of Sciences, Russia; Anton Savin, RUDN, Russia; Elmar Schrohe, Leibniz University, Germany.

Weighted Complete Intersections

Series: De Gruyter Expositions in Mathematics

September 2023 English, X, 250 pp., 15 fig.

HC *RRP € 159.95 [D] / US$ 165.99 / £ 144.50 ISBN 978-3-11-071882-9

eBook *RRP € 159.95 [D] / US$ 165.99 / £ 144.50 PDF ISBN 978-3-11-071904-8 ePUB ISBN 978-3-11-071937-6

This book discusses geometric properties of smooth weighted intersections in the context of mirror symmetry. It includes a series of open problems in algebraic geometry and mirror symmetry and a series of examples methods and applications. The book will appeal to graduate students and researchers in algebraic geometry. Analysis; Mirror Symmetry; Algebraic Geometry

Victor V. Przyjalkowski, Steklov Math. Institute, Moskow, Russia; Constantin Shramov, Laboratory of Algebraic Geometry, Moskow, Russia.

Tropical

Mathematics and Applications to Theoretical Physics and

Scientific Computing

A New Approach of Non-Linear Problems

Series: De Gruyter Expositions in Mathematics

August 2023

English, Approx. XX, 430 pp., 50 fig.

HC *RRP € 184.95 [D] / US$ 189.99 / £ 165.00 ISBN 978-3-11-076909-8

eBook *RRP € 184.95 [D] / US$ 189.99 / £ 165.00 PDF ISBN 978-3-11-076926-5

ePUB ISBN 978-3-11-076933-3

Tropical Mathematics built on Idempotent Semi-Rings and Dioids permits an extension of the usual Linear methods to Non-Linear problems and provides powerful analyz ing and computing in Theoretical Physics and Applied Mathematics. Until recently, solutions in mathematics and physics were organized around algebraic structures such as groups, rings, and fields. These techniques are not well-suited to modeling and solving non-linear problems.

Non linear problems; linear problems; theoretical physics; Idempotent mathematics and scientific computing

Abdel O. Kenoufi, IEAS, France; Michel Gondran, IEAS, France; Alexandre Gondran, ENAC, France; Thierry Lehner, LUTH, France.

Victor V. Przyjalkowski, Constantin Shramov

Abdel O. Kenoufi, Michel Gondran, Alexandre Gondran, Thierry Lehner

Dung Le

Cross Diffusion Systems Dynamics, Coexistence and Persistence

Series: De Gruyter Series in Nonlinear Analysis and Applications 40

October 2022

English, X, 226 pp.

HC *RRP € 149.95 [D] / US$ 155.99 / £ 135.00 ISBN 978-3-11-079498-4

eBook *RRP € 149.95 [D] / US$ 155.99 / £ 135.00

PDF ISBN 978-3-11-079513-4

ePUB ISBN 978-3-11-079517-2

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest.

Cross diffusion systems; elliptic systems; dynamics of evolution processes

Dung Le, University of Texas at San Antonio, USA.

Jesús Garcia-Falset, Khalid Latrach Nonlinear Functional Analysis and Applications

Series: De Gruyter Series in Nonlinear Analysis and Applications 41

March 2023

English, Approx. XVI, 450 pp.

HC *RRP € 164.95 [D] / US$ 172.99 / £ 150.50 ISBN 978-3-11-103096-8

eBook *RRP € 164.95 [D] / US$ 172.99 / £ 150.50

PDF ISBN 978-3-11-103181-1

ePUB ISBN 978-3-11-103208-5

This work is devoted to fixed point theory as well as the theory of accretive operators in Banach spaces. The goal is to develop, in self-contained way, the main results in both theories. Special emphasis is given to the study how both theories can be used to study the existence and uniqueness of solution of several types of partial differential equations and integral equations.

Nonlinear functional analysis; fixed point theory; Banach spaces; partial differential equations; nonlinear boundary value problems; metric fixed point theory; topological fixed point theory

Jesús Garcia-Falset, University of Valencia, ES; Khalid Latrach, Université Clermont Auvergne, FR.

Fractional Deterministic and Stochastic Calculus

Series: De Gruyter Series in Probability and Stochastics October 2023

English, Approx. X, 330 pp., 15 fig.

HC *RRP € 174.95 [D] / US$ 178.99 / £ 155.50 ISBN 978-3-11-077981-3

eBook *RRP € 174.95 [D] / US$ 178.99 / £ 155.50 PDF ISBN 978-3-11-078001-7 ePUB ISBN 978-3-11-078022-2

Fractional calculus has emerged as a power ful and effective mathematical tool in the study of several phenomena in science and engineering. This text addressed to research ers, graduate students, and practitioners combines deterministic fractional calculus with the analysis of the fractional Brownian motion and its associated fractional stochastic calculus and includes examples, exercises, and problems that focus on computational aspects.

Fractional calculus; Fractional brownian motion; fractional stochastic calculus; fractional stochastic differential equations; R programming

Yuliya Mishura, Taras Shevchenko National Univ. of Kyiv, Ukraine; Giacomo Ascione and Enrica Pirozzi, Univ. of of Naples, Italy.

Yuliya Mishura, Giacomo Ascione, Enrica Pirozzi

Andrey Dorogovtsev

Measure-valued Processes and Stochastic Flows

Series: De Gruyter Series in Probability and Stochastics

June 2023

English, Approx. XV, 300 pp., 5 fig.

HC *RRP € 154.95 [D] / US$ 160.99 / £ 140.00 ISBN 978-3-11-099758-3

eBook *RRP € 154.95 [D] / US$ 160.99 / £ 140.00

PDF ISBN 978-3-11-098651-8 ePUB ISBN 978-3-11-098655-6

This book discusses the systems of interact ing particles evolving in the random media. The focus is on the study of both the finite subsystems motion and the flow, describ ing motion of all particles in the space. The integral characteristics of the system and mass distribution are also covered and results are illustrated with examples from turbulence theory, synchronization and DNA evolution

Measured valued processes; stochastic flows; random measures and flows; stochastic differential equations; stationary measure-valued processes and stochastic calculus

Andrey Dorogovtsev, National Academy of Sciences of Ukraine, Ukraine.

Alexander V. Bobylev Kinetic Equations

Volume 2: Discrete Velocity Models, Landau Equation, and Numerical Methods

Series: De Gruyter Series in Applied and Numerical Mathematics 5/2 December 2023 English, Approx. XII, 250 pp., 10 fig.

HC *RRP € 114.95 [D] / US$ 118.99 / £ 103.50 ISBN 978-3-11-055013-9

eBook *RRP € 114.95 [D] / US$ 118.99 / £ 103.50 PDF ISBN 978-3-11-055100-6 ePUB ISBN 978-3-11-055014-6

This two-volume monograph is a comprehen sive and up-to-date presentation of the theory and applications of kinetic equations. The second volume covers discrete velocity mod els of the Boltzmann equation, results on the Landau equation, and numerical (determinis tic and stochastic) methods for the solution of kinetic equations.

Kinetic Equation; Boltzmann Equation; Kinetic Gas Theory; Distribution Function; Hydrodynamic Limes

Alexander Bobylev, Russian Academy of Sciences, Russian Federation.

Bruno Després Neural Networks and Numerical Analysis

Series: De Gruyter Series in Applied and Numerical Mathematics 6 August 2022 English, XVI, 158 pp., 29 fig.

HC *RRP € 149.95 [D] / US$ 154.99 / £ 134.50 ISBN 978-3-11-078312-4

eBook *RRP € 149.95 [D] / US$ 154.99 / £ 134.50 PDF ISBN 978-3-11-078318-6 ePUB ISBN 978-3-11-078326-1

This book uses numerical analysis as the main tool to investigate methods in machine learning and A.I. The eciency of neural network representation on for polynomial functions is studied in detail, together with an original description of the Latin hypercube method. In addition, unique features include the use of Tensorflow for implementation on session and the application n to the construc tion of new optimized numerical schemes. neural networks; machine learning; artificial initelligence; Tensorflow; numerical schemes; partial differential equations

Bruno Després, Sorbonne University, France.

Roland Glowinski, Tsorng-Whay Pan

Numerical Simulation of

Incompressible

Viscous Flow

Methods and Applications

Series: De Gruyter Series in Applied and Numerical Mathematics 7 September 2022

English, XVI, 216 pp., 57 fig.

HC *RRP € 154.95 [D] / US$ 178.99 / £ 141.00 ISBN 978-3-11-078491-6

eBook *RRP € 154.95 [D] / US$ 178.99 / £ 141.00 PDF ISBN 978-3-11-078501-2

ePUB ISBN 978-3-11-078505-0

This text on finite element-based computa tional methods for solving incompressible viscous fluid flow problems shows readers how to split complicated computational fluid dynamics problems into a sequence of simpler sub-problems. A methodology for solving more advanced applications such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid is also presented.

Navier-Stokes Equations; viscous flow; numerical experiments; finite element methods

Roland Glowinski and Tsorng-Whay Pan, University of Houston, USA.

Beyond Navier-Stokes

Advanced Computational Approaches for Rarefied Flows

Series: De Gruyter Series in Applied and Numerical Mathematics June 2023

English, Approx. XX, 450 pp., 75 fig.

HC *RRP € 210.00 [D] / US$ 213.99 / £ 185.50 ISBN 978-3-11-074753-9

eBook *RRP € 210.00 [D] / US$ 213.99 / £ 185.50 PDF ISBN 978-3-11-074764-5 ePUB ISBN 978-3-11-074770-6

This reference contains a comprehensive summary of recent methods beyond NavierStokes for computation of rarefied flows in continuum-transition regimes. Coverage in cludes descriptions and solutions for Burnett, and Grad’s moment equations, and descrip tion and solutions of classical and generalized Boltzmann equations.

Mathematic; Navier-Stokes; Boltzmann Equations R. Agarwal, Washington U., USA; R. Myong, Gyeongsang National U., Korea; K. Xu, Hong Kong UST, Hong Kong; W. Zhao, Zhejiang U., China.

Habib Ammari, Bryn Davies Metamaterials Analysis and Design

A Mathematical Treatment of Cochlea-inspired Sensors

Series: De Gruyter Series in Applied and Numerical Mathematics December 2023

English, Approx. X, 240 pp.

HC *RRP € 184.95 [D] / US$ 189.99 / £ 165.00 ISBN 978-3-11-078404-6

eBook *RRP € 184.95 [D] / US$ 189.99 / £ 165.00 PDF ISBN 978-3-11-078496-1 ePUB ISBN 978-3-11-078513-5

Metamaterials are advanced materials which have properties that don’t occur naturally and are difficult to replicate. Metamaterials’complicated microstruc tures make them challenging to study and require the use of sophisticated mathematical techniques. This book uses a rigorous, fromfirst-principles approach (based on boundary integral methods) to study the field of graded metamaterials that can be designed to act as cochlea-inspired sensors.

Metamaterials; biomimicry;boundary integral methods; sensors; cochlear amplification

Habib Ammari, ETH Zurich, CH; Bryn Davies, Imperial College, UK.

Ramesh Agarwal, Rho-Shin Myong, Kun Xu, Wenwen Zhao

Tuncay Aktosun, Ramazan Ercan, Mehmet Unlu

The Marchenko Method

Inverse

Problems and its Applications

Series: Inverse and Ill-Posed Problems Series November 2023

English, Approx. XX, 200 pp., 10 fig.

HC *RRP € 129.95 [D] / US$ 149.99 / £ 118.00 ISBN 978-3-11-107909-7

eBook *RRP € 129.95 [D] / US$ 149.99 / £ 118.00 PDF ISBN 978-3-11-108006-2 ePUB ISBN 978-3-11-108020-8

The Marchenko method is used to solve inverse scattering problems associated with various linear differential and differ ence equations as well as systems of such equations and to solve integrable nonlinear evolution equations via the inverse scatter ing transform method. This book describes the Marchenko method to solve a variety of inverse scattering problems by emphasizing the basic concepts in mathematics and phys ics behind the method.

Marchenko Method; bound states; inverse scattering; reflectionless scattering data; integrable evolution equations

Tuncay Aktosun, Univ of Texas-Arlington, USA; Ramazan Ercan, Woodbury Univ, USA; Mehmet Unlu, Recep Tayyip Erdogan Univ, TR.

Isaac Goldbring (Ed.) Model Theory of Operator Algebras

Series: De Gruyter Series in Logic and Its Applications

August 2023

English, Approx. XV, 335 pp., 75 fig.

HC *RRP € 174.95 [D] / US$ 178.99 / £ 155.50 ISBN 978-3-11-076821-3

eBook *RRP € 174.95 [D] / US$ 178.99 / £ 155.50

PDF ISBN 978-3-11-076828-2

ePUB ISBN 978-3-11-076833-6

First-order logic studies mathematical struc tures one can describe in a particular formal language and is suited for studying algebraic and discrete objects. Continuous logic is an extension of this logic and is better suited for studying structures in analysis. This book provides examples of how techniques from continuous logic can be used to study objects in an area of analysis known as operator algebras.

Continuous Logic; Operator Algebras; Functional Analysis; First Order Logic; Mathematical Structures

Isaac Goldbring, University of California, Irvine, USA.

Suzanne Lenhart, Jie Xiao (Eds.) Potentials and Partial Differential Equations

The Legacy of David R. Adams

Series: Advances in Analysis and Geometry October 2023

English, Approx. XV, 250 pp., 40 fig.

HC *RRP € 179.95 [D] / US$ 183.99 / £ 160.50 ISBN 978-3-11-079265-2

eBook *RRP € 179.95 [D] / US$ 183.99 / £ 160.50 PDF ISBN 978-3-11-079272-0 ePUB ISBN 978-3-11-079278-2

This volume is dedicated to the work of Professor David R. Adams and discusses calculus of variations and optimal control, optimization.Fourier analysis, functional analysis, partial differential equations; potential theory, and real functions, and their applications in modeling, mathematical phys ics, and geometry

Calculus of variations; optimal control; optimization; Fourier analysis; functional analysis; partial differential equations; potential theory; real functions

Suzanne Lenhart, University of Tennessee, USA; Jie Xiao, Memorial University of Newfoundland, CA.

Igor M. Rouzine

Mathematical Modeling of Evolution

Volume 2: Fitness Landscape, Genealogy, and Applications to Viruses

Series: De Gruyter Series in Mathematics and Life Sciences 8/2 August 2023 English, Approx. X, 250 pp., 80 fig.

HC *RRP € 174.95 [D] / US$ 178.99 / £ 155.50 ISBN 978-3-11-069731-5

eBook *RRP € 174.95 [D] / US$ 178.99 / £ 155.50 PDF ISBN 978-3-11-069738-4 ePUB ISBN 978-3-11-069746-9

This two-volume work focuses on the math ematical aspects of Darwinian evolution start ing from the basic model of asexual stochas tic evolution of a single isolated locus in the presence of mutation. Vol. 2 discusses fitness landscape, genealogy and various mathemati cal applications to virus evolution.

Vol. 1: One-Locus and Multi-Locus Theory and Recombination.

Viruses; Mathematical Modelling; Genealogy; Evolution

Igor M. Rouzine, Sorbonne University, Paris, France.

(Eds.)

Episodes from the History of Mathematics

Essays in Honor of Jesper Lützen

Series: De Gruyter Proceedings in Mathematics December 2023 English, Approx. XV, 300 pp., 35 fig.

HC *RRP € 184.95 [D] / US$ 189.99 / £ 165.00 ISBN 978-3-11-076990-6

eBook *RRP € 184.95 [D] / US$ 189.99 / £ 165.00 PDF ISBN 978-3-11-076996-8 ePUB ISBN 978-3-11-077007-0

The essays in the volume are in honor of Jesper Lützen, historian of mathematics and the physical sciences, and present current research on specialized topics in the history of mathematics. The volume will also provide examples of up-to-date research methods and a range of scholarly case studies on the his tory of mathematics.

History of mathematics; Mathematical creativity; 0Pi calculations

Toke Lindegaard Knudsen, State University of New York at Oneonta, USA; Jessica Carter, University of Southern Denmark, DK.

Advances in Pure and Applied Algebra

Proceedings of the CONIAPS XXVII International Conference 2021 April 2023

English, Approx. XX, 180 pp., 14 fig.

HC *RRP € 159.95 [D] / US$ 165.99 / £ 144.50 ISBN 978-3-11-078572-2

eBook *RRP € 159.95 [D] / US$ 165.99 / £ 144.50 PDF ISBN 978-3-11-078580-7 ePUB ISBN 978-3-11-078589-0

This proceedings volume documents the con tributions presented at the CONIAPS XXVII international Conference on Recent Advances in Pure and Applied Algebra. The entries focus on modern trends and techniques in various branches of pure and applied Algebra and highlight their applications in coding theory, cryptography, graph theory, and fuzzy theory.

Pure and applied algebra; coding theory; graph theory; fuzzy theory; cryptography

Manoj Kumar Patel, NIT, Nagaland, India; Ratnesh Kumar Mishra, NIT, Jamshedpur, India; Shiv Datt Kumar, NIT, Allahabad, India.

Toke Lindegaard Knudsen, Jessica Carter

Manoj Kumar Patel, Ratnesh Kumar Mishra, Shiv Datt Kumar (Eds.)

Nikolai Kutev, Tsviatko Rangelov Hardy Inequalities and Applications

Inequalities with Double Singular Weight

October 2022

English, VIII, 150 pp.

HC *RRP € 144.95 [D] / US$ 149.99 / £ 130.00 ISBN 978-3-11-099230-4

eBook *RRP € 144.95 [D] / US$ 149.99 / £ 130.00

PDF ISBN 978-3-11-098037-0

ePUB ISBN 978-3-11-098049-3

This book derives new Hardy inequalities with double singular weights – at an interior point and on the boundary of the domain. We focus on the optimality of Hardy constant and on the sharpness of Hardy inequality. Applications include: results about existence\ nonexistence and controllability for parabolic equations with double singular potentials; estimates from below of the first eigenvalue of p-Laplacian with Dirichlet boundary conditions.

Hardy Inequalities; sharp Hardy Inequalities; general weights; optimal constant; singular parabolic equations

Tsviatko Rangelov, Bulgarian Academy of Sciences, Bulgaria; Nikolai Kutev, Bulgarian Academy of Sciences, Bulgaria.

Lucy Zhang (Ed.)

Computational Mechanics Modeling of COVID-19

Viral Particle Transport and Protective Materials

October 2023

English, Approx. XXV, 200 pp.

HC *RRP € 159.95 [D] / US$ 165.99 / £ 144.50 ISBN 978-3-11-077107-7

eBook *RRP € 159.95 [D] / US$ 165.99 / £ 144.50

PDF ISBN 978-3-11-077116-9 ePUB ISBN 978-3-11-077119-0

Presents state-of the-art research on COV ID-19 particle and environmental interactions from leading academic researchers. Discusses the use of simulations to predict airborne transmission of COVID-19 aerosol particles in various environments including indoors, in mass transit and other settings. Examines novel materials modeling for protective wear ables and their predicted effectiveness against COVID-19.

Computational mechanics; modeling; COVID-19; viral transport; fluids

Lucy Zhang, Rennsselaer Polytechnic Institute, USA.

FOR STUDENTS AND RESEARCHERS IN MATHEMATICS TRIED AND TRUSTED TEXTBOOKS

ANALYSIS

06/2023. 375 pages, 55 figures

Paperback

RRP € 74.95 [D] / US$ 80.99 / £ 67.00 ISBN 978-3-11-079678-0

*eBook RRP € 699.00 [D] / US$ 735.00 / £ 599.00 PDF ISBN 978-3-11-079681-0 ePUB ISBN 978-3-11-079688-9

05/2023. 200 pages, 50 figures

Paperback RRP € 69.95 [D] / US$ 71.99 / £ 59.50 ISBN 978-3-11-077645-4

*eBook RRP € 699.00 [D] / US$ 735.00 / £ 599.00 PDF ISBN 978-3-11-077664-5 ePUB ISBN 978-3-11-077693-5

An Introduction

06/2023. 320 pages, 30 figures

Paperback RRP € 79.95 [D] / US$ 83.99 / £ 69.00 ISBN 978-3-11-078201-1

*eBook RRP € 299.00 [D] / US$ 315.00 / £ 259.00 PDF ISBN 978-3-11-078219-6 ePUB ISBN 978-3-11-078207-3

2022. 216 pages, 30 figures

Paperback

RRP € 79.95 [D] / US$ 83.99 / £ 69.00 ISBN 978-3-11-078085-7

*eBook RRP € 699.00 [D] / US$ 735.00 / £ 599.00 PDF ISBN 978-3-11-078092-5 ePUB ISBN 978-3-11-078098-7

Daniel Cunningham MATHEMATICAL LOGIC

William Miles

NUMERICAL METHODS WITH PYTHON for the Sciences

Dan Romik TOPICS IN COMPLEX

Patrick Guidotti ADVANCED MATHEMATICS An Invitation in Preparation for Graduate School

T T

Joseph D. Fehribach Sequences and Series in Calculus

Series: De Gruyter Textbook

July 2023

English, Approx. X, 200 pp., 35 fig.

Pb. *RRP € 69.95 [D] / US$ 71.99 / £ 59.50 ISBN 978-3-11-076835-0

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00

PDF ISBN 978-3-11-076839-8 ePUB ISBN 978-3-11-076846-6

This carefully designed book covers se quences, series and their role in calculus, and is appropriate for a one-semester course, or for self-study. It is well-suited for students starting university after having done well in an entry-level calculus course in secondary school. It includes many worked exercises, with solutions to basic computational ones and, as well as numerous diagrams that illustrate theoretical concepts.

Infinitesimal Calculus; Performance Series; Real Numbers; Indefinite Integrals

Joseph D. Fehribach, Worcester Polytechnic Institute, USA.

Algebra and Number Theory

A Selection of Highlights

Series: De Gruyter Textbook

2. Edition/2nd Edition October 2023 English, 2nd, revised Edition Approx. XV, 435 pp., 18 fig.

Pb. *RRP € 64.95 [D] / US$ 68.99 / £ 57.50 ISBN 978-3-11-078998-0

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00

PDF ISBN 978-3-11-079028-3 ePUB ISBN 978-3-11-079039-9

This updated second edition, presents the beauty and variety of Mathematics, in particular the classical disciplines algebra and number theory, to mathematicians and to those interested in mathematics in a rigor ous yet accessible way. This definitive guide is ideal for ideal for faculty, researchers, and students and includes end of chapter exercises.

elementary number theory; polynomials; prime numbers; algebra

B. Fine, USA; A. Moldenhauer and A. Schürenberg, Hamburg, Germany; G. Rosenberger, U Hamburg, Germany; L. Wienke, U Bremen, Germany.

Aron Simis Commutative Algebra

Series: De Gruyter Textbook

December 2023

English, Approx. XV, 360 pp., 10 fig.

Pb. *RRP € 69.95 [D] / US$ 80.99 / £ 63.50 ISBN 978-3-11-107845-8

**eBook *RRP € 699.00 [D] / US$ 770.00 /  £ 635.50 PDF ISBN 978-3-11-107878-6 ePUB ISBN 978-3-11-107884-7

This unique text in commutative algebra is divided into two parts. Part one covers the ba sic theory, algebraic geometry, computational aspects, and extensions to module theory. Part two includes associated primes, primary decomposition, local rings, M-sequences, Cohen-Macaulay modules, and homological methods. The second edition contains mate rial on basic properties of associated graded rings, historical notes and coverage of special properties.

Algebraic geometry; Commutative algebra; Homological methods; Primary decomposition; Number theory

Aron Simis, Federal University of Pernambuco and Brazilian Academy of Sciences, Brazil.

TBenjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke

Dan Romik

Topics in Complex Analysis

Series: De Gruyter Textbook

July 2023

English, Approx. XXV, 350 pp., 55 fig.

Pb. *RRP € 74.95 [D] / US$ 80.99 / £ 67.00 ISBN 978-3-11-079678-0

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00

PDF ISBN 978-3-11-079681-0

ePUB ISBN 978-3-11-079688-9

Begins with an introduction to the theory of functions of a complex variable, cov ers complex numbers and their properties, analytic functions and the Cauchy–Riemann equations, the logarithm and other elementary functions of a complex variable, integration of complex functions, the Cauchy integral theorem, the residue theorem, and definite integrals. Definitions and proofs are dis cussed as are applications to physics and engineering.

Complex analysis; analytic functions; complex integration; complex variables

Dan Romik, University of California, Davis. USA.

Patrick Guidotti

Advanced Mathematics

An Invitation in Preparation for Graduate School

Series: De Gruyter Textbook

August 2022

English, XVI, 200 pp., 30 fig.

Pb. *RRP € 79.95 [D] / US$ 83.99 / £ 69.00 ISBN 978-3-11-078085-7

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00

PDF ISBN 978-3-11-078092-5 ePUB ISBN 978-3-11-078098-7

This guide provides a roadmap for students transitioning from an undergraduate math ematics curriculum and degree into a gradu ate mathematics curriculum and program. It discusses a selection of concepts and ideas that are central in mathematics and found in a wide range of areas ranging from pure to applied mathematics developing the readers' self-reliance and independence as mathemati cal thinkers.

Sets and functions; numbers; vectors; topology; differentiation; manifolds; ordinary differential equations; partial differential equations; probability

Patrick Guidotti, University of California, Irvine, USA.

Micah Warren Bitcoin: A GameTheoretic Analysis

T T TSeries: De Gruyter Textbook January 2023 English, Pb. *RRP € 69.95 [D] / US$ 71.99 / £ 59.50 ISBN 978-3-11-077283-8

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00

PDF ISBN 978-3-11-077284-5 ePUB ISBN 978-3-11-077305-7

The definitive guide to the game theoretic and probabilistic underpinning for Bitcoin’s se curity model. Discusses, how Bitcoin works, includes an overview of probability and game theory and provides a quantitative analysis for Bitcoin security under attack modes. Explains, possible attacks on Bitcoin as its influence grows and includes breakdown of how the how the block reward schedule and adoption will affect the vulnerability of the network.

Game theory; probability; Bitcoin

Micah Warren, University of Oregon, U.S.A.

T T T

Svetlin G. Georgiev, Inci M. Erhan

Numerical Analysis on Time Scales

Series: De Gruyter Textbook

September 2022

English, X, 382 pp., 48 fig.

Pb. *RRP € 69.95 [D] / US$ 80.99 / £ 63.50 ISBN 978-3-11-078725-2

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00

PDF ISBN 978-3-11-078732-0

ePUB ISBN 978-3-11-078734-4

Mathematical models cannot be solved using the traditional analytical methods for dynamic equations on time scales. These models must be dealt with using computa tional methods. This textbook introduces numerical methods for initial value problems for dynamic equations on time scales. Handson examples utilizing MATLAB and practical problems illustrate a wide variety of solution techniques.

Numerical methods; numerical Integration; MATLAB; times scales

Svetlin G. Georgiev, University of Sofia, Bulgaria; Inci M. Erhan, Atılım University, Turkey.

Axelle Amon, Marc Lefranc Nonlinear Dynamics

Illustr. Marion Erpelding

Series: De Gruyter Textbook September 2023 English, Approx. X, 130 pp., 80 fig.

Pb. *RRP € 54.95 [D] / US$ 59.99 / £ 49.50 ISBN 978-3-11-067786-7

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00

PDF ISBN 978-3-11-067787-4 ePUB ISBN 978-3-11-067807-9

The structure of this book reflects the sylla bus of a standard Master course on nonlinear dynamics and chaos. The first part of the book is a complete introduction to Dynamical Systems for non-mathematicians and explains all the mathematical concepts needed to understand the book. The second part treats more advanced subjects, such as chaos and strange attractors, from an experimentalist point of view.

Dynamic System; Nonlinear Dynamics; Chaos Theory; Strange Attractor; Branching

Axelle Amon, University of Rennes 1, France; Marc Lefranc Université Lille 1 Sciences et Technologie, France.

Galina Filipuk, Andrzej Kozłowski Analysis with Mathematica® Volume 3: Differential Geometry, Differential Equations, and Special Functions

Series: De Gruyter Textbook May 2022 English, VIII, 266 pp., 331 fig.

Pb. *RRP € 69.95 [D] / US$ 71.99 / £ 59.50 ISBN 978-3-11-077454-2

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00 PDF ISBN 978-3-11-077464-1 ePUB ISBN 978-3-11-077475-7

This book is devoted to applications: dif ferential equations, elements of special func tions and differential geometry of curves and surfaces with a specific focus on visualization in Mathematica®. Discusses how Mathemat ica® can be used as an aid in solving math ematical problems and discovering a solution. A complete tutorial provides the background needed for understanding the examples and how to compute in Mathematica®.

Mathematica; differential geometry; differential equations; symbolic computing;

Galina Filipuk and Andrzej Kozlowski, University of Warsaw, Poland.

T T T

Daniel Cunningham Mathematical Logic

An Introduction

Series: De Gruyter Textbook

June 2023 English, XV, 305 pp., 30 fig.

Pb. *RRP € 79.95 [D] / US$ 83.99 / £ 69.00 ISBN 978-3-11-078201-1

**eBook *RRP € 299.00 [D] / US$ 315.00 / £ 259.00 PDF ISBN 978-3-11-078207-3 ePUB ISBN 978-3-11-078219-6

This textbook reviews the foundational topics that are typically covered in an introduction to proof course and studies the language of sentential logic as well as investigating the more powerful language of first-order logic and the notion of a formal deduction in firstorder logic, in addition, it proves Godel’s Completeness Theorem and discusses incom pleteness and the computability concept. Mathematical logic; logic of the first order; logic of the second order; deductive reasoning

Martin

Jens Zumbrägel A Course in Mathematical Cryptography

Series: De Gruyter Textbook

2. Edition/2nd Edition November 2023 English, Approx. XV, 385 pp., 15 fig.

Pb. *RRP € 64.95 [D] / US$ 68.99 / £ 57.50 ISBN 978-3-11-099107-9

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00 PDF ISBN 978-3-11-094930-8 ePUB ISBN 978-3-11-097147-7

This updated second edition, includes restruc tured and updated chapters on group based cryptography, new chapters on code-based and isogeny-based cryptography and new material on the mathematics of cryptographic protocols. Using both commutative and noncommutative algebraic objects as cryp tographic platforms, a book describing and explaining all these mathematical methods is of immeasurable value.

Cryptography; cryptographic protocols; codebased cryptography; public key cryptography

Martin Kreuzer and Jens Zumbrägel, U. Passau, Germany; Benjamin Fine, Fairfield U., USA; Gerhard Rosenberger, U. Hamburg, Germany.

Leonid Berlyand,

Jabin Mathematics of Deep Learning

An Introduction

Series: De Gruyter Textbook

July 2023

English, Approx. X, 150 pp., 50 fig.

Pb. *RRP € 54.95 [D] / US$ 57.99 / £ 48.00 ISBN 978-3-11-102431-8

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00 PDF ISBN 978-3-11-102555-1 ePUB ISBN 978-3-11-102580-3

Provides a mathematical perspective to some key elements of so-called deep neural net works (DNNs). Much of the interest on deep learning has focused on the implementation of DNN-based algorithms. This textbook focuses on a complementary point of view that emphasizes the underlying mathematical ideas.

Machine Learning; Deep Learning; Artificial Neural Networks (ANNs); Regression; Deep Neural Networks (DNNs)

Leonid Berlyand, Pennsylvania State University, USA; Pierre-Emmanuel Jabin, Pennsylvania State University, USA.

Daniel Cunningham, State University of New York, Buffalo State, USA.

Kreuzer, Benjamin Fine, Gerhard Rosenberger,

Pierre-Emmanuel

Syed V. Ahamed Knowledge Design and Construction

Internet, Machines and Social Agents June 2023

English, Approx. X, 350 pp., 50 fig.

HC *RRP € 144.95 [D] / US$ 149.99 / £ 130.00 ISBN 978-3-11-099873-3

eBook *RRP € 144.95 [D] / US$ 149.99 / £ 130.00 PDF ISBN 978-3-11-098738-6 ePUB ISBN 978-3-11-098763-8

This book presents, standard approaches, and techniques used in IT departments to create and develop knowledge-based systems and shows network architects how to deploy these systems using a step-by-step programmable approach. Coverage includes, the evolution of intelligent objects, the mathematical tools, and techniques needed for the design and construction of knowledge-based systems and the building of computer processes and networks.

Knowledge based engineering; intelligent objects; mathematical representations; computer and network architectures

Syed V. Ahamed, Professor Emeritus, City University of New York, USA.

William Miles Numerical Methods with Python for the Sciences

Series: De Gruyter Textbook June 2023

English, Approx. X, 190 pp., 50 fig.

TPb. *RRP € 69.95 [D] / US$ 71.99 / £ 59.50 ISBN 978-3-11-077645-4

**eBook *RRP € 699.00 [D] / US$ 735.00 /  £ 599.00

PDF ISBN 978-3-11-077664-5 ePUB ISBN 978-3-11-077693-5

Introduces students to appropriate use of computer programming within the scientific disciplines using Python. Discusses several common applications of programming and implementation using real world examples and hands on programming exercises. Stu dents learn how to model situations such as image recognition, medical diagnosis, spread of disease, and others.

Python; Computer Programming; functional mathematics; regression analysis; linear systems

William M. Miles, Stetson University, USA.

Princeton Mathematics

Annals of Mathematics Studies

Sun-Yung Alice Chang, Phillip A. Griffiths & Assaf Naor, Series Editors

Lillian Pierce, Associate Editor

The Arithmetic of Polynomial Dynamical Pairs

Charles Favre & Thomas Gauthier

June 2022. 260 pages. ebook 9780691235486 €68.00 | $75.00 | £58.00

The Einstein-KleinGordon Coupled System

Alexandru D. Ionescu & Benoît Pausader

March 2022. 224 pages. ebook 9780691233031 €68.00 | $75.00 | £58.00

Supersingular p-adic L-functions, MaassShimura Operators and Waldspurger Formulas Daniel J. Kriz 2021. 240 pages. ebook 9780691225739 €68.00 | $75.00 | £58.00

The Structure of Groups with a Quasiconvex Hierarchy Daniel T.Wise 2021. 376 pages. 166 color illus. ebook 9780691213507 €68.00 | $75.00 | £58.00

A Course on Surgery Theory

Stanley Chang & Shmuel Weinberger

2021. 472 pages. 14 b/w illus. ebook 9780691200354 €68.00 | $75.00 | £58.00

Mathematical Notes

Phillip A. Griffiths, John N. Mather & Elias M. Stein, series editors

Thurston’s Work on Surfaces

Albert Fathi, François Laudenbach & Valentin Poénaru

2021. 272 pages. 150 b/w illus. ebook9781400839032 €66.00 | $72.50 | £58.00

The Classical and Quantum 6j-symbols J. Scott Carter, Daniel E. Flath & Masahico Saito 2021. 176 pages. ebook 9780691234670 €63.00 | $69.95 | £54.00

Lie Groups, Lie Algebras, and Cohomology

Anthony W. Knapp 2021. 522 pages. ebook 9780691223803 €126.00 | $140.00 | £108.00 degruyter.com/princeton

J J J

Tobias Colding, Ana Caraiani, Jun-Muk Hwang, Olivier Schiffmann, Jakob Stix, Gábor Székelyhidi (Eds.)

Journal für die reine und angewandte Mathematik Volume 794-805 (2023)

Managing Editor: Daniel Huybrechts

Impact Factor: 1.809 5-year Impact Factor: 1.868 Mathematical Citation Quotient (MCQ): 1.44

English, German, French, 12 issues per volume (Approx. 3300 pp.)

ISSN 0075-4102 e-ISSN 1435-5345

Print Subscription rates € 3350.00 / *US$ 5026.00 /  *£ 2747.00

Single Issue € 307.00 / *US$ 461.00 / *£ 252.00

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The Journal für die reine und angewandte Mathematik is the oldest mathematics peri odical still in existence. Founded in 1826 by August Leopold Crelle and edited by him un til his death in 1855, it soon became widely known under the name of Crelle’s Journal. In the 190 years of its existence, Crelle’s Jour nal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals.

Valentin Blomer, Chantal David, Manfred Droste, Frank Duzaar, Siegfried Echterhoff, Jan Frahm, Maria Gordina, Clara Löh, Karin Melnick, Maksym Radziwill, Freydoon Shahidi, Christopher D. Sogge, Shigeharu Takayama (Eds.)

Forum Mathematicum

Volume 35 (2023)

Managing Editor: Jan Hendrik Bruinier

Impact Factor: 0.943

5-year Impact Factor: 0.921

Mathematical Citation Quotient (MCQ): 0.76

English, 6 issues per volume (Approx. 1680 pp.) ISSN 0933-7741 e-ISSN 1435-5337

Print Subscription rates € 1133.00 / *US$ 1703.00 /  *£ 930.00

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Print/Online € 1362.00 / *US$ 2040.00 / *£ 1117.00

Forum Mathematicum is a general mathemat ics journal, which is devoted to the publica tion of research articles in all fields of pure and applied mathematics, including mathe matical physics.

Ivane Kiguradze, Tengiz Buchukuri (Editors-in-Chief)

Georgian Mathematical Journal

Volume 30 (2023)

Impact Factor: 0.900 5-year Impact Factor: 0.753

Mathematical Citation Quotient (MCQ): 0.16

English, 6 issues per volume (Approx. 1000 pp.) ISSN 1072-947X e-ISSN 1572-9176

Print Subscription rates € 464.00 / *US$ 698.00 /  *£ 381.00

Single Issue € 85.00 / *US$ 128.00 / *£ 70.00

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Print/Online € 559.00 / *US$ 842.00 / *£ 458.00

The was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly pro duced with De Gruyter.The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.

J J J

Sylvia Pulmannova, Anatolij Dvure

enskij (Eds.)

Mathematica Slovaca

Volume 73 (2023)

Impact Factor: 0.996 5-year Impact Factor: 0.766

Mathematical Citation Quotient (MCQ): 0.28

English, 6 issues per volume (Approx. 1550 pp.) ISSN 0139-9918 e-ISSN 1337-2211

Print Subscription rates € 1724.00 / *US$ 2330.00 / *£ 1414.00

Single Issue € 316.00 / *US$ 427.00 / *£ 259.00

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Print/Online € 2069.00 / *US$ 2794.00 / *£ 1696.00

Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was found ed in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by as suring a high quality reviewing process.

Gudrun Thäter (Hrsg./Ed.) Mitteilungen der Deutschen MathematikerVereinigung

Band/Volume 31 (2023)

Deutsch/German, 4 Hefte pro Band/issues per volume (Ca./Approx. 256 S./pp.) ISSN 0947-4471 e-ISSN 0942-5977

Print Jahres-Abopreis/Subscription rates € 373.00 /  *US$ 561.00 / *£ 306.00

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Die Mitteilungen der DMV enthalten Beiträge zu aktuellen Themen allgemeinen Inter esses sowie Informationen u.a. zu neuen Mitgliedern, Promotionen, Berufungen, Ernennungen, Ehrungen und Preisen. Die Mitteilungen informieren zudem über alles, was einen eindeutigen Bezug zur Mathematik aufweist. Dazu gehören z.B.: Ausstellungen und Veranstaltungen, Historisches, neue Ent wicklungen, Anwendungen, Vermittlung von Mathematik an Schulen/Hochschulen, etc.

Mitteilungen der DMV is the official journal of the German Mathematical Society. The journal publishes articles on recent develop ments in the categories society members, graduations, habilitations, appointments, honours and awards. The journal is aimed at all mathematicians but also non-professionals interested in mathematics.

Advances in Geometry

Volume 23 (2023)

Managing Editors: Theo Grundhöfer, Michael Joswig

Impact Factor: 0.763 5-year Impact Factor: 0.708

Mathematical Citation Quotient (MCQ): 0.46

English, 4 issues per volume (Approx. 586 pp.) ISSN 1615-715X e-ISSN 1615-7168

Print

Subscription rates € 492.00 / *US$ 741.00 /  *£ 406.00 Single Issue € 135.00 / *US$ 204.00 / *£ 112.00

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Advances in Geometry is a mathematical journal which publishes original research articles of excellent quality in the area of geometry. Geometry is a field of long-stand ing tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity, and geometric ideas and the geometric language permeate all of mathematics.

č

J J J

Qing Han (Editor-in-Chief)

Analysis

International mathematical journal of analysis and its applications

Volume 43 (2023)

Mathematical Citation Quotient (MCQ): 0.39

English, 4 issues per volume (Approx. 264 pp.) ISSN 0174-4747 e-ISSN 2196-6753

Print Subscription rates € 590.00 / *US$ 795.00 /  *£ 484.00

Single Issue € 162.00 / *US$ 219.00 / *£ 133.00

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Print/Online € 687.00 / *US$ 927.00 / *£ 564.00

Analysis is devoted to the field of mathemati cal analysis, in particular classical analysis and its applications. Its aim is to publish the best research articles within the scope of the journal, as well as to boost the cooperation between scholars.

Włodzimierz Fechner, Krzysztof Ciesielski (Editors-in-Chief)

Journal of Applied Analysis

Volume 29 (2023)

Managing Editor: Leslaw Gajek

Mathematical Citation Quotient (MCQ): 0.24

English, 2 issues per volume (Approx. 250 pp.) ISSN 1425-6908 e-ISSN 1869-6082

Print Subscription rates € 134.00 / *US$ 199.00 /  *£ 109.00

Single Issue € 74.00 / *US$ 109.00 / *£ 60.00

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Journal of Applied Analysis is devoted to applications of mathematical analysis, e.g. to economics, mathematical physics, mechanics and computer sciences. Topics include appli cations of mathematical analysis, differential equations, dynamical systems, optimization, optimal control, stochastic modeling and probability theory, numerical methods. The journal is jointly produced by the Institute of Mathematics of the Technical University of Lodz and De Gruyter.

Sergey I. Kabanikhin (Editor-in-Chief)

Journal of Inverse and Ill-posed Problems

Volume 31 (20223

Managing Editor: Maxim A. Shishlenin

Impact Factor: 1.448

5-year Impact Factor: 1.156

Mathematical Citation Quotient (MCQ): 0.62

English, 6 issues per volume (Approx. 900 pp.) ISSN 0928-0219 e-ISSN 1569-3945

Print

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This journal presents original articles on the theory, numerics and applications of inverse and ill-posed problems. These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophys ics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc. Articles on the construction and justifica tion of new numerical algorithms of inverse problem solutions are also published.

J J

Carsten Carstensen (Editor-in-Chief)

Computational Methods in Applied Mathematics

Volume 23 (2023)

Impact Factor: 1.489 5-year Impact Factor: 1.590 Mathematical Citation Quotient (MCQ): 0.92

English, 4 issues per volume (Approx. 830 pp.) ISSN 1609-4840 e-ISSN 1609-9389

Print Subscription rates € 293.00 / *US$ 440.00 /  *£ 240.00

Single Issue € 81.00 / *US$ 121.00 / *£ 66.00

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Print/Online € 353.00 / *US$ 531.00 / *£ 290.00

Computational Methods in Applied Math ematics considers original mathematical contributions to computational methods and numerical analysis with applications mainly related to PDEs. The journal is interdisci plinary while retaining the common thread of numerical analysis, readily readable and meant for a wide circle of researchers in ap plied mathematics.

JBjörn Birnir (Editor-in-Chief)

International Journal of Nonlinear Sciences and Numerical Simulation Volume

24 (2023)

Impact Factor: 2.156 5-year Impact Factor: 2.378 Mathematical Citation Quotient (MCQ): 0.21

English, 8 issues per volume (Approx. 1000 pp.) ISSN 1565-1339 e-ISSN 2191-0294

Print Subscription rates € 1067.00 / *US$ 1598.00 /  *£ 874.00

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Print/Online € 1281.00 / *US$ 1918.00 / *£ 1052.00

The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at researchers in non linear sciences, engineers, and computational scientists, economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.

Bruce Mizrach (Ed.) Studies in Nonlinear Dynamics and Econometrics

Volume 27 (2023)

Impact Factor: 1.032 5-year Impact Factor: 1.266

Mathematical Citation Quotient (MCQ): 0.06

English, 5 issues per volume (Approx. 330 pp.) ISSN 1558-3708

Online Institutional Subscription € 304.00 / *US$ 411.0 / *£ 249.00

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Studies in Nonlinear Dynamics and Econo metric recognizes that advances in statistics and dynamical systems theory can increase our understanding of economic and financial markets. The journal seeks both theoreti cal and applied papers that characterize and motivate nonlinear phenomena. Researchers are required to assist replication of empiri cal results by providing copies of data and programs online. Algorithms and rapid com munications are also published.

J J J

George P. Yanev (Editor-in-Chief)

Stochastics and Quality Control

Volume 38 (2023)

Founded by Elart Collani

English, 2 issues per volume (Approx. 225 pp.) ISSN 2367-2390 e-ISSN 2367-2404

Print

Subscription rates € 145.00 / *US$ 217.00 /  *£ 117.00

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Stochastics and Quality Control is devoted to all fields related to reliability and quality control in economy, finance, manufacturing, production and inventory. It primarily pub lishes research articles, but survey articles on a topical area inside the scope are considered, too.

The journal pays special attention to the interdisciplinary character of the topic. Not only mathematicians, but also scientists, economists as well as scholars from other disciplines contribute papers. The methods and results published thus are of interest to various applications in real life.

Andrei Zubkov (Editor-in-Chief)

Discrete Mathematics and Applications

Volume 33 (2023)

Mathematical Citation Quotient (MCQ): 0.06

English, 6 issues per volume (Approx. 440 pp.) ISSN 0924-9265 e-ISSN 1569-3929

Print Subscription rates € 2958.00 / *US$ 4439.00 /  *£ 2425.00

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Discrete Mathematics and Applications pro vides the latest information on the develop ment of discrete mathematics in Russia to a world-wide readership. The journal covers various subjects in the fields such as com binatorial analysis, graph theory, functional systems theory, cryptology, coding, proba bilistic problems of discrete mathematics, algorithms and their complexity, combinato rial and computational problems of number theory and of algebra.

Timothy C. Burness, Christopher W. Parker (Editors-in-Chief)

Journal of Group Theory

Volume 26 (2023)

Managing Editors: John S. Wilson, Evgeny I. Khukhro

Impact Factor: 0.638

5-year Impact Factor: 0.678

Mathematical Citation Quotient (MCQ): 0.51

English, 6 issues per volume (Approx. 1200 pp.) ISSN 1433-5883 e-ISSN 1435-4446

Print Subscription rates € 507.00 / *US$ 760.00 /  *£ 415.00

Single Issue € 93.00 / *US$ 139.00 / *£ 76.00

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The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concern ing applications of group theory and articles from research areas which have a significant impact on group theory will also be consid ered.

J J J

Maxim Olshanskiy (Editor-in-Chief) Journal of Numerical Mathematics

Volume 31 (2023)

Managing Editor: Andrea Bonito

Impact Factor: 4.036 5-year Impact Factor: 3.132 Mathematical Citation Quotient (MCQ): 1.36

English, 4 issues per volume (Approx. 300 pp.) ISSN 1570-2820 e-ISSN 1569-3953

Print Subscription rates € 1079.00 / *US$ 1621.00 /  *£ 886.00

Single Issue € 297.00 / *US$ 446.00 / *£ 244.00

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Print/Online € 1297.00 / *US$ 1945.00 / *£ 1063.00

The Journal of Numerical Mathematics contains high-quality papers featuring con temporary research in all areas of Numerical Mathematics. This includes the development, analysis, and implementation of new and innovative methods in Numerical Linear Al gebra, Numerical Analysis, Optimal Control/ Optimization, and Scientific Computing.

Valentin P. Dymnikov, Yuri A. Kuznetsov (Editors-in-Chief) ℝussian Journal of Numerical Analysis and Mathematical Modelling

Volume 38 (2023)

Managing Editor: Yuri V. Vassilevski

Impact Factor: 1.150 5-year Impact Factor: 0.893 Mathematical Citation Quotient (MCQ): 0.20

English, 6 issues per volume (Approx. 400 pp.) ISSN 0927-6467 e-ISSN 1569-3988

Print Subscription rates € 2343.00 / *US$ 3515.00 /  *£ 1922.00

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Print/Online € 2815.00 / *US$ 4217.00 / *£ 2308.00

The journal provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, select papers on the basis of their high scientific standard, innova tive approach and topical interest.

Monte Carlo Methods and Applications

Volume 29 (2023)

Managing Editor: Karl K. Sabelfeld

Mathematical Citation Quotient (MCQ): 0.22

English, 4 issues per volume (Approx. 355 pp.) ISSN 0929-9629 e-ISSN 1569-3961

Print Subscription rates € 1281.00 / *US$ 1924.00 /  *£ 1052.00

Single Issue € 352.00 / *US$ 529.00 / *£ 289.00

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Print/Online € 1540.00 / *US$ 2310.00 / *£ 1262.00

This quarterly published journal presents original articles on the theory and applica tions of Monte Carlo and Quasi-Monte Carlo methods. Launched in 1995 the journal covers all stochastic numerics topics with emphasis on the theory of Monte Carlo meth ods and new applications in all branches of science and technology.

J J JO

Robert Stelzer (Editor-in-Chief)

Statistics & ℝisk Modeling

with Applications in Finance and Insurance

Volume 40 (2023)

Mathematical Citation Quotient (MCQ): 0.18

English, 4 issues per volume (Approx. 180 pp.) ISSN 2193-1402 e-ISSN 2196-7040

Print Subscription rates € 489.00 / *US$ 659.00 /

*£ 401.00

Single Issue € 134.00 / *US$ 181.00 / *£ 110.00

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Print/Online € 552.00 / *US$ 747.00 / *£ 454.00

Statistics & Risk Modeling publishes articles that discuss modern methods of statistics and probabilistic modeling and their applications to risk management in finance, insurance, and related areas. It also welcomes papers that present methodological innovations in statistical theory as well as papers on innova tive statistical modeling applications and inference in risk management.

Vyacheslav Girko (Editor-in-Chief) ℝandom Operators and Stochastic Equations

Volume 31 (2023)

Managing Editor: S. Molchanov

Mathematical Citation Quotient (MCQ): 0.10

English, 4 issues per volume (Approx. 300 pp.) ISSN 1569-397X

Online Institutional Subscription € 1359.00 /  *US$ 2036.00 / *£ 1112.00

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ROSE is devoted to the theory of random op erators and stochastic analysis. Contributions on theoretical aspects, as well as on physical and technical applications are considered for publication. The scope includes the general theory of linear random operators, the theory of random matrices, chaos in classical and quantum mechanics, stochastic differential equations, Brownian motion theory and many other topics.

Journal of Causal Inference

Volume 11 (2023)

Impact Factor: 1.867 5-year Impact Factor: 4.446

English, 1 issue per volume ISSN 2193-3685

Journal of Causal Inference publishes papers on theoretical and applied causal research across the range of academic disciplines that use quantitative tools to study causality.

Kosuke Imai, Judea Pearl, Maya Liv Petersen, Mark J. van der Laan (Eds.)

JO JO J

Carlos Martins da Fonseca (Editor-in-Chief)

Special Matrices

Volume 11 (2023)

Mathematical Citation Quotient (MCQ): 0.32

English, 1 issue per volume ISSN 2300-7451

Special Matrices is a peer-reviewed open access journal that publishes original articles of wide significance and originality in all areas of research involving structured matri ces present in various branches of pure and applied mathematics and their noteworthy applications in physics, engineering, and other sciences.

Giovanni Puccetti (Ed.) Dependence Modeling Volume 11 (2023)

Mathematical Citation Quotient (MCQ): 0.24

English, 1 issue per volume ISSN 2300-2298

Dependence Modeling aims to provide a me dium for exchanging results and ideas in the area of multivariate dependence modeling. Topics include Copula methods, environmen tal sciences, estimation and goodness-of-fit tests, extreme-value theory, limit laws, mass transportations, measures of association, multivariate distributions and tests, quantita tive risk management, risk assessment, risk models, risk measures and stochastic orders and time series.

Advances in Calculus of Variations

Volume 16 (2023)

Managing Editors: Frank Duzaar, Juha Kinnunen

Impact Factor: 2.973 5-year Impact Factor: 2.268

Mathematical Citation Quotient (MCQ): 1.69

English, 4 issues per volume (Approx. 600 pp.) ISSN 1864-8266

Online Institutional Subscription € 553.00 / *US$ 834.0 /  *£ 454.00

Individual Subscription € 99.00 / *US$ 149.00 /  *£ 80.00

Advances in Calculus of Variations publishes high quality original research focusing on those parts of calculus of variations and related applications which combine tools and methods from partial differential equations with geometric techniques.

JO JO JO

Manuel Ritoré (Ed.)

(Eds.)

Concrete Operators

Volume 10 (2023)

Mathematical Citation Quotient (MCQ): 0.33

English, 1 issue per volume ISSN 2299-3282

Concrete Operators is devoted to original re search articles on all special classes of linear operators acting on function spaces and their applications. Concrete operators have shown to be prevalent in almost all domains of sci ence and technology and are interconnected to many other branches of mathematics. Con crete Operators publishes articles devoted to all special classes of linear operators acting on function spaces.

Analysis and Geometry in Metric Spaces

Volume 11 (2023)

Impact Factor: 1.033 5-year Impact Factor: 1.147

Mathematical Citation Quotient (MCQ): 0.89

English, 1 issue per volume ISSN 2299-3274

Analysis and Geometry in Metric Spaces is a fully peer-reviewed open access journal that publishes cutting-edge original research on analytical and geometrical problems in metric spaces and their mathematical applications. It features articles making connections among relevant topics in this field.

Vicentiu Radulescu, Runzhang Xu (Editors-in-Chief) Advances in Nonlinear Analysis

Volume 12 (2023)

Impact Factor: 4.544 5-year Impact Factor: 3.751

Mathematical Citation Quotient (MCQ): 2.94

English, 1 issue per volume ISSN 2191-950X

Advances in Nonlinear Analysis aims to pub lish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those intro ducing new techniques capable of solving a wide range of problems. The journal focuses on papers that address significant problems in pure and applied nonlinear analysis.

William Ross, Javad Mashreghi, Kevin Beanland

JO JO JO

Calogero Vetro (Editor-in-Chief)

Demonstratio Mathematica

Volume 56 (2023)

Impact Factor: 2.093

5-year Impact Factor: 1.399

Mathematical Citation Quotient (MCQ): 0.43

English, 1 issue per volume ISSN 2391-4661

Demonstratio Mathematica, founded in 1969, is a fully peer-reviewed open access journal that publishes original and significant research works and review articles devoted to functional analysis, approximation theory, and related topics.

Vincenzo Vespri, Salvatore Angelo Marano (Editors-in-Chief)

Open Mathematics

Volume 21 (2023)

Impact Factor: 0.979

5-year Impact Factor: 1.080

Mathematical Citation Quotient (MCQ): 0.27

English, 1 issue per volume ISSN 2391-5455

Open Mathematics is a fully peer-reviewed open access journal that publishes significant and original works in all areas of mathemat ics. The journal publishes both research papers and comprehensive and timely survey articles.

Guozhen Lu (Editor-in-Chief)

Advanced Nonlinear Studies

Volume 23 (2023)

Impact Factor: 1.682

5-year Impact Factor: 1.682

Mathematical Citation Quotient (MCQ): 1.33

English, 4 issues per volume (Approx. 950 pp.) ISSN 2169-0375

Advanced Nonlinear Studies is a fully peerreviewed open access journal that publishes scholarly articles on nonlinear problems, particularly those involving differential and integral equations, dynamical systems, calculus of variations, and related areas. It also publishes novel and interesting applica tions of these areas to problems in biology, engineering, materials sciences, physics and other sciences.

JO JO JO

Massimiliano Sala (Editor-in-Chief)

Journal of Mathematical Cryptology

Volume 17 (2023)

Mathematical Citation Quotient (MCQ): 0.16

English, 1 issue per volume ISSN 1862-2984

Journal of Mathematical Cryptology is a forum for original research articles in the area of mathematical cryptology. Works in the theory of cryptology and articles linking mathematics with cryptology are welcome. Submissions from all areas of mathematics significant for cryptology are published, in cluding but not limited to, algebra, algebraic geometry, coding theory, combinatorics, number theory, probability and stochastic processes.

Anna Maria Fino (Ed.) Complex Manifolds

Volume 10 (2023)

Mathematical Citation Quotient (MCQ): 0.37

English, 1 issue per volume ISSN 2300-7443

Complex Manifolds is a fully peer-reviewed open access journal that publishes cuttingedge research on complex manifolds and related results from differential geometry, al gebraic geometry and complex analysis. The journal focuses on complex geometry from the differential, algebraic and analytical point of view, and is a forum where all the aspects of these problems can be discussed.

Guowei Wei (Editor-in-Chief)

Julie Mitchell, Shan Zhao (Eds.)

Computational and Mathematical Biophysics

(formerly Molecular Based Mathematical Biology)

Volume 11 (2023)

English ISSN 2544-7297

The mission of Computational and Math ematical Biophysics is to publish the highest quality work that promotes the development of theoretical formulations, mathematical models, numerical algorithms, and compu tational techniques for elucidating molecular mechanisms and for solving open problems at the forefront of molecular bioscience and biophysics.

JO JO

Toka Diagana (Editor-in-Chief)

Nonautonomous Dynamical Systems

(formerly Nonautonomous and Stochastic Dynamical Systems)

Volume 10 (2023)

Managing Editor: Jose Cánovas

Mathematical Citation Quotient (MCQ): 0.20

English, 1 issue per volume ISSN 2353-0626

Nonautonomous Dynamical Systems covers all areas and subareas of nonautonomous dynamical systems. In particular, it encour ages interdisciplinary papers that cut across sub-disciplines of nonautonomous dynamical systems to neighboring fields.

Manuel Sanchis, Oscar Valero (Editors-in-Chief)

Topological Algebra and its Applications

Volume 11 (2023)

Mathematical Citation Quotient (MCQ): 0.24

English, 1 issue per volume ISSN 2299-3231

Topological Algebra and its Applications is a fully peer-reviewed open access journal that publishes original research articles on topological-algebraic structures. This journal is devoted to the publication of original high quality research papers of moderate length in all fields of the subject.

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Agarwal, Ramesh 11

Ahamed, Syed V. 20

Akbarov, Sergei S. 7

Aktosun, Tuncay 12

Ammari, Habib 11 Amon, Axelle 18 Ascione, Giacomo 9

B

Beanland, Kevin 30

Berlyand, Leonid 19

Birnir, Björn 25

Blomer, Valentin 22

Bobylev, Alexander V. 10

Bonito, Andrea 27

Bruinier, Jan Hendrik 22 Buchukuri, Tengiz 22 Burness, Timothy C. 26

C

Cánovas, Jose 33

Caraiani, Ana 22 Carstensen, Carsten 25 Carter, Jessica 13 Castillo, René Erlin 5

Ciesielski, Krzysztof 24

Colding, Tobias 22 Collani, Elart 26 Cunningham, Daniel 19

D

da Fonseca, Carlos Martins 29

Datt Kumar, Shiv 13 David, Chantal 22 Davies, Bryn 11

Dekel, Shai 5

Després, Bruno 10 Diagana, Toka 33

Dorogovtsev, Andrey 10 Droste, Manfred 22 Duzaar, Frank 22, 29

Dvurečenskij, Anatolij 23 Dymnikov, Valentin P. 27

E

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F

Fechner, Włodzimierz 24

Fehribach, Joseph D. 16 Filipuk, Galina 18 Fine, Benjamin 16, 19 Fino, Anna Maria 32 Frahm, Jan 22

G

Gajek, Leslaw 24

Garcia-Falset, Jesús 9

Georgiev, Svetlin G. 18 Girko, Vyacheslav 28

Glowinski, Roland 11

Goldbring, Isaac 12

Gondran, Alexandre 8

Gondran, Michel 8

Gordina, Maria 22

Grundhöfer, Theo 23 Guidotti, Patrick 17

H

S

I

Imai, Kosuke 28

J

Jabin, Pierre-Emmanuel 19 Joswig, Michael 23

K

Kabanikhin, Sergey I. 24 Kenoufi, Abdel O. 8 Khukhro, Evgeny I. 26 Kiguradze, Ivane 22 Kinnunen, Juha 29 Knudsen, Toke Lindegaard 13 Kozłowski, Andrzej 18 Kreuzer, Martin 19 Kutev, Nikolai 14 Kuznetsov, Yuri A. 27

L

Latrach, Khalid 9 Le, Dung 9 Lefranc, Marc 18 Lehner, Thierry 8 Lenhart, Suzanne 12 Löh, Clara 22 Lord, Steven 3 Luca, Rodica 6 Lu, Guozhen 31

M

Marano, Salvatore Angelo 31 Mashreghi, Javad 30 McDonald, Edward 3 McGovern, William M. 5 Melnick, Karin 22 Miles, William 20 Mishra, Ratnesh Kumar 13 Mishura, Yuliya 9

Mitchell, Julie 32 Mizrach, Bruce 25 Molchanov, S. 28 Moldenhauer, Anja 16 Munday, Sara 7 Myong, Rho-Shin 11 N

Nazaikinskii, Vladimir E. 8 Nikolaev, Igor V. 3 O

Olshanskiy, Maxim 27 P

Pan, Tsorng-Whay 11 Parker, Christopher W. 26 Patel, Manoj Kumar 13 Pearl, Judea 28

Petersen, Maya Liv 28 Pirozzi, Enrica 9 Przyjalkowski, Victor V. 8 Puccetti, Giovanni 29 Pulmannova, Sylvia 23

ℝ

Han, Qing 24

Henderson, Johnny 6

Huybrechts, Daniel 22 Hwang, Jun-Muk 22

Radulescu, Vicentiu 30 Radziwill, Maksym 22 Rangelov, Tsviatko 14 Ritoré, Manuel 30 Romik, Dan 17 Rosenberger, Gerhard 16, 19 Ross, William 30 Rouzine, Igor M. 13 Roy, Mario 7 Ru, Min 6

Sabelfeld, Karl K. 27 Sala, Massimiliano 32 Sanchis, Manuel 33 Savin, Anton 8 Schiffmann, Olivier 22 Schrohe, Elmar 8 Schürenberg, Annika 16 Shahidi, Freydoon 22 Shishlenin, Maxim A. 24 Shramov, Constantin 8 Simis, Aron 16 Sogge, Christopher D. 22 Stelzer, Robert 28 Stix, Jakob 22 Strzelecki, Paweł 6 Sukochev, Fedor 3 Székelyhidi, Gábor 22

T

Takayama, Shigeharu 22 Thäter, Gudrun 23

U Unlu, Mehmet 12 Urbański, Mariusz 7

V

Valero, Oscar 33 van der Laan, Mark J. 28 Vassilevski, Yuri V. 27 Vespri, Vincenzo 31 Vetro, Calogero 31 von der Mosel, Heiko 6

W

Warren, Micah 17 Wei, Guowei 32 Wienke, Leonard 16 Wilson, John S. 26 X

Xiao, Jie 12 Xu, Kun 11 Xu, Runzhang 30 Y

Yanev, George P. 26 Z

Zanin, Dmitriy 3 Zhang, Lucy 14 Zhao, Shan 32 Zhao, Wenwen 11 Zubkov, Andrei 26 Zumbrägel, Jens 19

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