Описание: The book is a concise, self-contained and up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and informative proofs which may be called gems of the theory. A wide spectrum of most powerful combinatorial tools is presented: methods of extremal set theory, the linear algebra method, the probabilistic method and fragments of Ramsey theory. A throughout discussion of some recent applications to computer science motivates the liveliness and inherent usefulness of these methods to approach problems outside combinatorics. No special combinatorial or algebraic background is assumed. All necessary elements of linear algebra and discrete probability are introduced before their combinatorial applications. Aimed primarily as an introductory text for graduates, it provides also a compact source of modern extremal combinatorics for researchers in computer science and other fields of discrete mathematics.
Автор: John Stillwell Название: Classical Topology and Combinatorial Group Theory ISBN: 1461287499 ISBN-13(EAN): 9781461287490 Издательство: Springer Рейтинг: Цена: 9357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Bolian Liu; Hong-Jian Lai Название: Matrices in Combinatorics and Graph Theory ISBN: 1441948341 ISBN-13(EAN): 9781441948342 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Combinatorics and Matrix Theory have a symbiotic, or mutually beneficial, relationship. where an attempt was made to give a broad picture of the use of combinatorial ideas in matrix theory and the use of matrix theory in proving theorems which, at least on the surface, are combinatorial in nature.
Автор: Anton Betten; Axel Kohnert; Reinhard Laue; Alfred Название: Algebraic Combinatorics and Applications ISBN: 3540411100 ISBN-13(EAN): 9783540411109 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of a high-level conference on discrete mathematics, focusing on group actions in the areas of pure mathematics, applied mathematics, computer science, physics, and chemistry. A useful tool for researchers and graduate students in discrete mathematics and theoretical computer science.
Автор: Norbert W Sauer; R.E. Woodrow; B. Sands Название: Finite and Infinite Combinatorics in Sets and Logic ISBN: 0792324226 ISBN-13(EAN): 9780792324225 Издательство: Springer Рейтинг: Цена: 56042.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Highlights the connections between problems in finite combinatorics and graph theory on the one hand and the more foundational subjects of logic and set theory on the other. This book contains articles which touch in one way or another on homogeneous structures.
Автор: Krishnaswami Alladi; Peter Paule; James Sellers; A Название: Combinatory Analysis ISBN: 146147857X ISBN-13(EAN): 9781461478577 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In reproducing Volume 23 of The Ramanujan Journal in this book form, we have included two papers-one by Hei-Chi Chan and Shaun Cooper, and another by Ole Warnaar-which were intended for Volume 23 of The Ramanujan Journal, but appeared in other issues.
Описание: These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999.
Автор: Krishnaswami Alladi; Peter Paule; James Sellers; A Название: Combinatory Analysis ISBN: 1489988351 ISBN-13(EAN): 9781489988355 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In reproducing Volume 23 of The Ramanujan Journal in this book form, we have included two papers-one by Hei-Chi Chan and Shaun Cooper, and another by Ole Warnaar-which were intended for Volume 23 of The Ramanujan Journal, but appeared in other issues.
Автор: Vladimir Shpilrain; Alexander Mikhalev; Jie-tai Yu Название: Combinatorial Methods ISBN: 1441923446 ISBN-13(EAN): 9781441923448 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.
Автор: Richard A. Brualdi; Shmuel Friedland; Victor Klee Название: Combinatorial and Graph-Theoretical Problems in Linear Algebra ISBN: 1461383560 ISBN-13(EAN): 9781461383567 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This IMA Volume in Mathematics and its Applications COMBINATORIAL AND GRAPH-THEORETICAL PROBLEMS IN LINEAR ALGEBRA is based on the proceedings of a workshop that was an integral part of the 1991-92 IMA program on "Applied Linear Algebra."
Автор: Gilbert Baumslag Название: Topics in Combinatorial Group Theory ISBN: 3764329211 ISBN-13(EAN): 9783764329211 Издательство: Springer Рейтинг: Цена: 4186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. This title features notes that deals with many topics in combinatorial group theory.
Автор: Mark V. Sapir; Victor S. Guba; Mikhail V. Volkov Название: Combinatorial Algebra: Syntax and Semantics ISBN: 3319375903 ISBN-13(EAN): 9783319375908 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Combinatorial Algebra: Syntax and Semantics provides comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of more than 20 fundamental results, both classical and modern. This includes Golod-Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties of rings, Grigorchuk's solution of Milnor's problem, Bass-Guivarc'h theorem about growth of nilpotent groups, Kleiman's solution of Hanna Neumann's problem for varieties of groups, Adian's solution of von Neumann-Day's problem, Trahtman's solution of the road coloring problem of Adler, Goodwyn and Weiss. The book emphasize several universal" tools, such as trees, subshifts, uniformly recurrent words, diagrams and automata.
With over 350 exercises at various levels of difficulty and with hints for the more difficult problems, this book can be used as a textbook, and aims to reach a wide and diversified audience. No prerequisites beyond standard courses in linear and abstract algebra are required. The broad appeal of this textbook extends to a variety of student levels: from advanced high-schoolers to undergraduates and graduate students, including those in search of a Ph.D. thesis who will benefit from the "Further reading and open problems" sections at the end of Chapters 2 -5.
The book can also be used for self-study, engaging those beyond t
he classroom setting: researchers, instructors, students, virtually anyone who wishes to learn and better understand this important area of mathematics.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
