World Scientific Connecting Great Minds MATHEMATICS 2021 AVAILABLE IN PRINT AND DIGITAL MORE DIGITAL PRODUCTS ON WORLDSCINET HighlightsHighlights Mathematics Catalogue 2021 page 5 page 5 page 7 page 11 by Tzuong-Tsieng Moh by James S Milne by Harold Cohen (California State University, by Wenxiong Chen (Yeshiva Univ., USA), (Purdue University, USA) (University of Michigan, USA) Los Angeles, USA) & Daniel Gallup (Pasadena Yan Li (Yeshiva Univ., USA) & Pei Ma City College, USA) (Nanjing Forestry Univ., China) page 16 page 16 page 17 page 17 by Cuihong Cai edited by Marc Hallin (Université libre de Bruxelles, edited by Douglas Cenzer (Univ. of by Gary Mar (Fudan University, China) Belgium), Marco Lippi (Einaudi Institute for Economics Florida, USA), Christopher Porter (Stony Brook University, USA) and Finance, Italy), Matteo Barigozzi (London School (Drake Univ., USA) & Jindrich Zapletal of Economics and Political Science, UK), (Univ. of Florida, USA) Mario Forni (Univ. of Modena and Reggio Emilia, Italy) & Paolo Zaffaroni (Imperial College London, UK) page 19 page 20 page 22 page 24 by Alexei A Kornyshev & by Alexey P Isaev (Joint Institute for Nuclear edited by Bruce R Vogeli by William Layton & Dominic O’Lee Research, Dubna, Russia & M V Lomonosov (Columbia University, USA) & Myron Sussman (Imperial College London, UK) Moscow State University, Russia) & Valery Mohamed E A El Tom (University of Pittsburgh, USA) A Rubakov (Russian Academy of Sciences, (Ministry of Education, Sudan) Moscow, Russia & M V Lomonosov Moscow State University, Russia) page 25 page 25 page 28 page 28 by Didier Henrion, Milan Korda (LAAS-CNRS, by Jozsef Beck by Ricardo V Teixeira & by Alfred S Posamentier France & Univ. of Toulouse, France & Czech (Rutgers University, USA) Jang-Woo Park (University of (City University of New York, USA) Technical Univ. in Prague, Czech Republic) & Jean Houston-Victoria, USA) Bernard Lasserre (LAAS-CNRS, France & Inst. of Mathematics, Univ. of Toulouse, France) About World Scientific Publishing World Scientific Publishing is a leading independent publisher of books and journals for the scholarly, research, professional and educational communities. 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Sign up now @ www.worldscientific.com/page/newsletter-sign-up www.worldscinet.com Mathematics Catalogue 2021 ALGEBRA & RELATED TOPICS Gröbner – Shirshov Bases Non-Diophantine Arithmetics in Normal Forms, Combinatorial and Mathematics, Physics and Psychology Decision Problems in Algebra by Mark Burgin (University of California, by Leonid Bokut (Sobolev Institute of Los Angeles, USA) & Marek Czachor Mathematics, Russia), Yuqun Chen (South (Politechnika Gdańska, Poland) China Normal University, China), Kyriakos This book provides a detailed exposition of Kalorkoti (University of Edinburgh, United the theory of non-Diophantine arithmetics and Kingdom), Pavel Kolesnikov (Sobolev Institute its various applications. Reading this book, of Mathematics, Russia) & Viktor Lopatkin the reader will see that on the one hand, non- (Saint-Petersburg State University, Russia) Diophantine arithmetics continue the ancient The book is about (associative, Lie and other) algebras, groups, tradition of operating with numbers while on the other hand, they semigroups presented by generators and defining relations. They play a introduce extremely original and innovative ideas. great role in modern mathematics. It is enough to mention the quantum Key Features: groups and Hopf algebra theory, the Kac – Moody and Borcherds algebra It is a unique book on this ground-breaking topic, which theory, the braid groups and Hecke algebra theory, the Coxeter groups ○ not only changes people’s understanding of numbers and and semisimple Lie algebra theory, the plactic monoid theory. One of the operations with them but also provides diverse applications main problems for such presentations is the problem of normal forms of in different areas, which change not only mathematics their elements. The first book that describes Gröbner – Shirshov bases and science but also some essential aspects of social method for Lie algebra in full details functioning Readership: Researchers in algebra and combinatorics. Readership: Researchers and graduate students in mathematics, 308pp Jul 2020 physics, psycholody, and philosophy. 978-981-4619-48-6 US$138 £120 800pp Nov 2020 978-981-121-430-1 US$188 £165 Series on Knots and Everything - Vol 65 Mathematics of Harmony as a P-adic Analytic Functions New Interdisciplinary Direction and by Alain Escassut (Blaise Pascal University, France) “Golden” Paradigm of Modern Science P-adic Analytic Functions describes the definition and properties of p-adic Volume 1: The Golden Section, Fibonacci analytic and meromorphic functions in a complete algebraically closed Numbers, Pascal Triangle, and Platonic Solids ultrametric field. Various properties of p-adic exponential-polynomials by Alexey Stakhov (International Club of are examined, such as the Hermite Lindemann theorem in a p-adic field, the Golden Section, Canada & Academy of with a new proof. The order and type of growth for analytic functions are Trinitarism, Russia) studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk Volume I is the first part of the 3-volume book Mathematics of Harmony and on the complemental of a closed disk, using Motzkin meromorphic as a New Interdisciplinary Direction and “Golden” Paradigm of Modern products. Finally, the p-adic Nevanlinna theory is widely explained, Science. “Mathematics of Harmony” rises in its origin to the “harmonic with various applications. Small functions are introduced with results of ideas” of Pythagoras, Plato and Euclid, this 3-volume book aims uniqueness for meromorphic functions. The question of whether the ring to promote more deep understanding of ancient conception of the of analytic functions — in the whole field or inside an open disk — is a “Universe Harmony, “ the main conception of ancient Greek science, Bezout ring is also examined. and implementation of this conception to modern science