MATHEMATIK

Galina Filipuk, Andrzej Kozłowski ANALYSIS WITH MATHEMATICA®

VOLUME 3: DIFFERENTIAL GEOMETRY, DIFFERENTIAL EQUATIONS, AND SPECIAL FUNCTIONS

f This book focusses on applications of Mathematica in differential geometry and differential equations. Students learn how to solve mathematical problems with a computer algebra system. Contains a vast collection of worked-out examples.

This book is devoted to applications: differential equations, elements of special functions and differential geometry of curves and surfaces with a specific focus on visualization in Mathematica®. Discusses how Mathematica® can be used as an aid in solving mathematical problems and discovering a solution. A complete tutorial provides the background needed for understanding the examples and how to compute in Mathematica®. Galina Filipuk and Andrzej Kozlowski, University of Warsaw, Poland.

SUBJECTS Differential Equations and Dynamical Systems; Geometry and Topology; Numerical and Computational Mathematics READERSHIP Students, educators and researchers interested in applications of symbolic computer algebra in mathematics.

Textbook, English, May 2022

Series De Gruyter Textbook

274 pp., 331 fig. Pb. RRP € 61.95 / *US$ 71.99 / *£ 56.50 9<7to1m0=hhefec>

ISBN 978-3-11-077454-2

Patrick Guidotti

ADVANCED MATHEMATICS

An Invitation in Preparation for Graduate School

f This reference provides a roadmap for students transitioning from an undergraduate mathematics curriculum and degree into a graduate mathematics curriculum and program.

This guide provides a roadmap for students transitioning from an undergraduate mathematics curriculum and degree into a graduate 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 mathematical thinkers. Patrick Guidotti, University of California, Irvine, USA

SUBJECT General Mathematics READERSHIP Seniors and beginning graduate students transitioning to a graduate program in mathematics

Textbook, English, September 2022

Series De Gruyter Textbook

Approx. 250 pp., 30 fig. Pb. RRP € 72.95 / *US$ 83.99 / *£ 65.50 9<7to1m0=hiaifh>

ISBN 978-3-11-078085-7 **eBook RRP € 730.00 / *US$ 840.00 / *£ 655.00 PDF ISBN 978-3-11-078092-5 ePUB ISBN 978-3-11-078098-7 Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke

GEOMETRY AND DISCRETE MATHEMATICS

A Selection of Highlights

f A true collection of mathematical gems in geometry, combinatorics, and probability theory. f Interesting exercises in each chapter. f Valuable for lecturers, teachers, and students of mathematics as well as for all mathematically interested.

Fundamentals of mathematics are presented in the two-volume set in an exciting and pedagogically sound way. The present volume examines the most important basic results in geometry and discrete mathematics, along with their proofs, and also their history. New: A chapter on discrete Morse theory and still more graph theory for solving further classical problems as the Travelling Salesman and Postman problem. B. Fine,U Fairfield, USA; A. Moldenhauer and G. Rosenberger, U Hamburg, Germany; A. Schürenberg and L. Wienke, U Bremen, Germany.

SUBJECTS Geometry and Topology; Discrete Mathematics; Probability and Statistics READERSHIP Lecturers, teachers, and students of mathematics, and the mathematically interested.

Textbook, English, August 2022

Series De Gruyter Textbook

2nd edition Approx. 357 pp., 169 fig. Pb. RRP € 51.95 / *US$ 59.99 / *£ 47.00 9<7to1m0=heahhg>

ISBN 978-3-11-074077-6 **eBook RRP € 520.00 / *US$ 600.00 / *£ 470.00 PDF ISBN 978-3-11-074078-3 ePUB ISBN 978-3-11-074093-6