Algebraic and Geometric Methods in Discrete Mathematics, Heather A. Harrington, Mohamed Omar, Matthew Wright
Автор: Ceccherini-Silberstein Название: Groups, Graphs and Random Walks ISBN: 1316604403 ISBN-13(EAN): 9781316604403 Издательство: Cambridge Academ Рейтинг: Цена: 79200.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the connections with other branches of mathematics. Covering topics from growth and amenability of groups, Schroedinger operators, and Poisson boundaries, this book provides a valuable and up-to-date reference for both researchers and graduates.
Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics. It is aimed at graduate students and researchers in physics or mathematics, and offers an introduction to the topics discussed in the two weeks of the summer school: operator algebras, conformal field theory, black holes, relativistic fluids, Lie groupoids and Lie algebroids, renormalization methods, spectral geometry and index theory for pseudo-differential operators.
Автор: Cardona Alexander Название: Geometric, Algebraic and Topological Methods for Quantum Fie ISBN: 9814460044 ISBN-13(EAN): 9789814460040 Издательство: World Scientific Publishing Рейтинг: Цена: 141510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory.This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.
Автор: Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf Название: Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups ISBN: 3110413329 ISBN-13(EAN): 9783110413328 Издательство: Walter de Gruyter Цена: 43330.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents:Algebraic structuresCryptographyNumber theoretic algorithmsPolynomial time primality testElliptic curvesCombinatorics on wordsAutomataDiscrete infinite groups
Автор: Godsil Название: Erd?s–Ko–Rado Theorems: Algebraic Approaches ISBN: 1107128447 ISBN-13(EAN): 9781107128446 Издательство: Cambridge Academ Рейтинг: Цена: 74970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The Erdos-Ko-Rado Theorem is a fundamental result in combinatorics. Aimed at graduate students and researchers, this comprehensive text shows how tools from algebraic graph theory can be applied to prove the EKR Theorem and its generalizations. Readers can test their understanding at every step with the end-of-chapter exercises.
Автор: Walker, Grant (university Of Manchester) Wood, Reginald M. W. (university Of Manchester) Название: Polynomials and the mod 2 steenrod algebra: volume 1, the peterson hit problem ISBN: 1108414486 ISBN-13(EAN): 9781108414487 Издательство: Cambridge Academ Рейтинг: Цена: 88710.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This detailed two-volume reference on the Steenrod algebra and its various applications presents more than thirty years of research. Developing the structure of the Steenrod algebra from an algebraic viewpoint, this first volume is recommended for researchers or postgraduates in pure mathematics and can be used as a graduate textbook.
Автор: Walker, Grant (university Of Manchester) Wood, Reginald M. W. (university Of Manchester) Название: Polynomials and the mod 2 steenrod algebra: volume 2, representations of gl (n,f2) ISBN: 1108414451 ISBN-13(EAN): 9781108414456 Издательство: Cambridge Academ Рейтинг: Цена: 81300.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This detailed two-volume reference on the Steenrod algebra and its various applications presents more than thirty years of research. This second volume broadens the discussion to include modular representations of matrix groups.
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