Lessons in Enumerative Combinatorics, Eğecioğlu Цmer, Garsia Adriano M.

Автор: Wagner, Carl G.
Название: First course in enumerative combinatorics
ISBN: 1470459957 ISBN-13(EAN): 9781470459956
Издательство: Mare Nostrum (Eurospan)
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Описание: First Course in Enumerative Combinatorics provides an introduction to the fundamentals of enumeration for advanced undergraduates and beginning graduate students in the mathematical sciences. The book offers a careful and comprehensive account of the standard tools of enumeration—recursion, generating functions, sieve and inversion formulas, enumeration under group actions—and their application to counting problems for the fundamental structures of discrete mathematics, including sets and multisets, words and permutations, partitions of sets and integers, and graphs and trees. The author’s exposition has been strongly influenced by the work of Rota and Stanley, highlighting bijective proofs, partially ordered sets, and an emphasis on organizing the subject under various unifying themes, including the theory of incidence algebras. In addition, there are distinctive chapters on the combinatorics of finite vector spaces, a detailed account of formal power series, and combinatorial number theory.The reader is assumed to have a knowledge of basic linear algebra and some familiarity with power series. There are over 200 well-designed exercises ranging in difficulty from straightforward to challenging. There are also sixteen large-scale honors projects on special topics appearing throughout the text. The author is a distinguished combinatorialist and award-winning teacher, and he is currently Professor Emeritus of Mathematics and Adjunct Professor of Philosophy at the University of Tennessee. He has published widely in number theory, combinatorics, probability, decision theory, and formal epistemology. His Erdo?s number is 2. An instructor’s manual for this title is available electronically to those instructors who have adopted the textbook for classroom use. Please send email to textbooks@ams.org for more information.

Автор: Cameron Peter J
Название: Notes on Counting: An Introduction to Enumerative Combinator
ISBN: 1108404952 ISBN-13(EAN): 9781108404952
Издательство: Cambridge Academ
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Описание: Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, drawn from many years of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study.

Автор: George E. Martin
Название: Counting: The Art of Enumerative Combinatorics
ISBN: 1441929150 ISBN-13(EAN): 9781441929150
Издательство: Springer
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Описание: Counting: The Art of Enumerative Combinatorics provides an introduction to discrete mathematics that addresses questions that begin, How many ways are there to...For example, How many ways are there to order a collection of 12 ice cream cones if 8 flavors are available? At the end of the book the reader should be able to answer such nontrivial counting questions as, How many ways are there to color the faces of a cube if k colors are available with each face having exactly one color? or How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip? Since there are no prerequisites, this book can be used for college courses in combinatorics at the sophomore level for either computer science or mathematics students. The first five chapters have served as the basis for a graduate course for in-service teachers. Chapter 8 introduces graph theory.

Автор: Stanley
Название: Enumerative Combinatorics
ISBN: 1107602629 ISBN-13(EAN): 9781107602625
Издательство: Cambridge Academ
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Описание: Richard Stanley`s two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes more than 300 new exercises, many with solutions, updated and expanded chapter bibliographies and substantial new material on permutation statistics.

Автор: Eğecioğlu Цmer, Garsia Adriano M.
Название: Lessons in Enumerative Combinatorics
ISBN: 3030712494 ISBN-13(EAN): 9783030712495
Издательство: Springer
Цена: 6986.00 р.
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Описание: This textbook introduces enumerative combinatorics through the framework of formal languages and bijections. Connections to linear algebra emerge in chapters studying Cayley trees, determinantal formulas, and the combinatorics that lie behind the classical Cayley-Hamilton theorem.

Автор: Eduardo Casas-Alvero; Sebastian Xambo-Descamps
Название: The Enumerative Theory of Conics after Halphen
ISBN: 3540164952 ISBN-13(EAN): 9783540164951
Издательство: Springer
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Автор: Gilbert Labelle; Pierre Leroux
Название: Combinatoire enumerative
ISBN: 3540172076 ISBN-13(EAN): 9783540172079
Издательство: Springer
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