This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof theory to appreciate the exciting advances currently happening in the area, and perhaps make contributions of their own. It adopts a case-study approach, using the study of versions of Ramsey's Theorem (for colorings of tuples of natural numbers) and related principles as illustrations of various aspects of computability theoretic and reverse mathematical analysis. This book contains many exercises and open questions.
Описание: This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbers rather than algebraic objects in themselves.
Описание: Written by two well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting presents a clear and comprehensive introduction to the concepts and methodology of beginning combinatorics.
Название: Combinatorial methods in topology and algebra ISBN: 3319201549 ISBN-13(EAN): 9783319201542 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,`` which was held in Cortona in September 2013.
Автор: Aigner, Martin (freie University Berlin West Germany) Название: Combinatorial theory ISBN: 1461566681 ISBN-13(EAN): 9781461566687 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: First, there exist several older books on the subject, such as Ryser [1] (which I still think is the most seductive introduction to combinatorics), Hall [2], and more recent ones such as Cameron-Van Lint [1] on groups and designs, and Blake-Mullin [1] on coding theory, whereas no compre- hensive book exists on (a) and (b).
Автор: Ravindra B. Bapat; Steve J. Kirkland; K. Manjunath Название: Combinatorial Matrix Theory and Generalized Inverses of Matrices ISBN: 813221725X ISBN-13(EAN): 9788132217251 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book examines two important contemporary areas in linear algebra, namely combinatorial matrix theory and generalized inverses. It covers a wide range of topics of interest such as graph theory, linear algebra, numerical methods and statistical inference.
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.
Автор: Bruno Benedetti; Emanuele Delucchi; Luca Moci Название: Combinatorial Methods in Topology and Algebra ISBN: 3319369989 ISBN-13(EAN): 9783319369983 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,`` which was held in Cortona in September 2013.
Автор: I.A. Faradzev; A.A. Ivanov; M. Klin; A.J. Woldar Название: Investigations in Algebraic Theory of Combinatorial Objects ISBN: 0792319273 ISBN-13(EAN): 9780792319276 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents a collection of survey papers on algebraic combinatorics which originally appeared in Russian, augmented by four survey papers written specially for this book. The content is divided into three parts: cellular rings; distance-regular and distance-transitive graphs; and amalgams geometry.
Автор: Brualdi Название: Combinatorial Matrix Theory ISBN: 1107662605 ISBN-13(EAN): 9781107662605 Издательство: Cambridge Academ Рейтинг: Цена: 8554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbers rather than algebraic objects in themselves.
Автор: L.A. Bokut`; G.P.. Kukin Название: Algorithmic and Combinatorial Algebra ISBN: 0792323130 ISBN-13(EAN): 9780792323136 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume presents an authoritative overview of developments in algorithmic and combinatorial algebra which have been achieved during the past 40 years, with an emphasis on the results obtained by the Novosibirsk school of A.I. Mal`tchev and A.I. Shirshov and followers.
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.
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