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MATHEMATICS Catalogue7 2 0 1 MATHEMATICS Catalogue7 Connecting Great Minds HighlightsHighlights Mathematics Catalogue 2017 page 5 page 6 page 8 page 9 by Tianxin Cai by Jean-Pierre Tignol by E Jack Chen by Michel Marie Chipot (Zhejiang University, China) & (Université Catholique de Louvain, (BASF Corporation, USA) (University of Zurich, Switzerland) translated by Jiu Ding Belgium) (University of Southern Mississippi, USA) page 12 page 13 page 15 page 18 by Shaun Bullett by Sir Michael Atiyah (University of by Yi-Bing Shen (Zhejiang University, by Niels Jacob & Kristian P Evans (Queen Mary University of Edinburgh, UK), Daniel Iagolnitzer China) & Zhongmin Shen (Swansea University, UK) London, UK), (CEA-Saclay, France) & Chitat Chong (Indiana University – Purdue University Tom Fearn & Frank Smith (NUS, Singapore) Indianapolis, USA) (University College London, UK) page 19 page 20 page 24 page 24 by Gregory Baker by Michał Walicki by Kai S Lam (California State by Matthew Inglis & Nina Attridge (The Ohio State University, USA) (University of Bergen, Norway) Polytechnic University, Pomona, USA) (Loughborough University, UK) page 27 page 27 page 30 page 31 by Roe W Goodman by Gregory Fasshauer by Jiming Jiang (UC Davis) & by Paulo Ribenboim (Rutgers University, USA) (Illinois Institute of Technology, USA) & Thuan Nguyen (Queen's University, Canada) Michael McCourt (Oregon Health & Science (University of Colorado Denver, USA) University, USA) c o n t e n t s About World Scientific Publishing World Scientific Publishing is a leading independent publisher of books and journals for the scholarly, research, professional and educational communities. The company publishes about 600 books annually and about 130 Algebra & Number Theory ................................... 4 journals in various fields. World Scientific collaborates with ALGEBRA & RELATED TOPICS ................................4 prestigious organisations like the Nobel Foundation, US Analysis & Differential Equations ......................... 6 National Academies Press, amongst others, to bring high quality academic and professional content to researchers COMPUTER MATHEMATICS & SCIENCE .................8 and academics worldwide. To find out more about World Approximation Theory ........................................ 11 Scientific, please visit www.worldscientific.com. DIFFERENTIAL & INTEGRAL EQUATIONS ...............8 How to Order Coding Theory & Cryptography ......................... 11 GENERAL PURE & APPLIED MATHEMATICS ..........13 Please complete the order form on page 42 of this catalogue and return it to a World Scientific office nearest to you. 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To join, please visit our website at www.worldscientific.com/page/newsletter-sign-up Or email your contact information to us at [email protected] with “Subscribe to Mathematics” in the subject line. http://www.worldscientific.com/page/ws-online Mathematics Catalogue 2017 ALGEBRA & RELATED TOPICS Series on Number Theory and Its Applications An Introduction to Non-Abelian Class Field Theory Crystal Bases Automorphic Forms of Weight 1 and 2-Dimensional Galois Representations Representations and Combinatorics by Toyokazu Hiramatsu (Hosei University, Japan), Seiken Saito by Daniel Bump (Stanford), Anne Schilling (UC Davis) (Waseda University, Japan) This unique book provides the first introduction to crystal base theory from the combinatorial point of view. Crystal base theory was developed by This monograph provides a brief exposition of automorphic forms of weight Kashiwara and Lusztig from the perspective of quantum groups. Its power 1 and their applications to arithmetic, especially to Galois representations. comes from the fact that it addresses many questions in representation One of the outstanding problems in arithmetic is a generalization of theory and mathematical physics by combinatorial means. This book class field theory to non-abelian Galois extension of number fields. In approaches the subject directly from combinatorics, building crystals this volume, we discuss some relations between this problem and cusp through local axioms (based on the ideas by Stembridge) and virtual crystals. forms of weight 1. Readership: Graduate students and researchers interested in understanding Readership: Advanced undergraduate and graduate students, and from a viewpoint of combinatorics on crystal base theory. researchers in number theory. 200pp Mar 2017 188pp Jan 2017 978-981-4733-43-4 US$68 £45 978-981-3142-26-8 US$98 £71 978-981-4733-44-1(pbk) US$38 £25 978-981-3142-27-5(ebook) US$127 £92 A Graduate Course in Algebra (In 2 Volumes) Gröbner–Shirshov Bases by Ioannis Farmakis & Martin Moskowitz (City University of New York, Normal Forms, Combinatorial and Decision Problems in Algebra USA) by Leonid Bokut (Sobolev Institute of Mathematics, Russia), Yuqun Chen (South China Normal University, China), Kyriakos Kalorkoti (Informatics This comprehensive 2 volume book deals with algebra, broadly conceived. Forum, Scotland) & Dmitri Piontlovski (National Research University, Volume 1 (Chapters 1 – 6) comprises what should be taught in a first year Russia) graduate course in algebra, offering the instructor a number of options in designing such a course. Moreover, Volume 1 provides an excellent basis Key Features: for study for the qualifying exam in algebra in most American and European • The first book that describes Gröbner–Shirshov bases method for Lie universities. Volume 2 (Chapters 7 – 13) forms the basis for a second year algebra in full details graduate course in topics in algebra. As the table of contents shows (see • The first book that covers all main results for classical decision inside), here we have provided ample material to satisfy many diverse problems for groups using Gröbner–Shirshov bases method and the notions and ideas for the contents of such a course. To facilitate matters for modular machines the reader, there is a chart showing the interdependence of the chapters. • The first book that covers connections of Gröbner–Shirshov bases Readership: Graduate students and researchers in Algebra and related method with homological algebra areas. Readership: Researchers in algebra and combinatorics. 700pp Dec 2016 450pp Feb 2017 978-981-3142-60-2(Set) US$178 £128 978-981-4619-48-6
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