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Combinatorial Reciprocity Theorems: An Invitation to Enumerative Geometric Combinatorics, Matthias Beck, Raman Sanyal


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Автор: Matthias Beck, Raman Sanyal
Название:  Combinatorial Reciprocity Theorems: An Invitation to Enumerative Geometric Combinatorics
ISBN: 9781470422004
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 147042200X
Обложка/Формат: Hardback
Страницы: 314
Вес: 0.42 кг.
Дата издания: 28.02.2019
Серия: Graduate studies in mathematics
Язык: English
Размер: H 254 X W 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Combinatorics & graph theory,Discrete mathematics
Подзаголовок: An invitation to enumerative geometric combinatorics
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Поставляется из: Англии
Описание: Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics.Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements.
Дополнительное описание: Discrete mathematics|Combinatorics and graph theory


Counting: The Art of Enumerative Combinatorics

Автор: George E. Martin
Название: Counting: The Art of Enumerative Combinatorics
ISBN: 1441929150 ISBN-13(EAN): 9781441929150
Издательство: Springer
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Цена: 52130.00 T
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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.

Notes on Counting: An Introduction to Enumerative Combinator

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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Цена: 38010.00 T
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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.

Enumerative Combinatorics

Автор: Richard Stanley
Название: Enumerative Combinatorics
ISBN: 146159765X ISBN-13(EAN): 9781461597650
Издательство: Springer
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Цена: 46570.00 T
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Introduction to Enumerative and Analytic Combinatorics

Автор: Bona Miklos
Название: Introduction to Enumerative and Analytic Combinatorics
ISBN: 148224909X ISBN-13(EAN): 9781482249095
Издательство: Taylor&Francis
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Цена: 88800.00 T
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Описание:

Introduction to Enumerative and Analytic Combinatorics fills the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The book first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the text discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares.

Strengthening the analytic flavor of the book, this Second Edition:

  • Features a new chapter on analytic combinatorics and new sections on advanced applications of generating functions
  • Demonstrates powerful techniques that do not require the residue theorem or complex integration
  • Adds new exercises to all chapters, significantly extending coverage of the given topics

Introduction to Enumerative and Analytic Combinatorics, Second Edition makes combinatorics more accessible, increasing interest in this rapidly expanding field.

Outstanding Academic Title of the Year, Choice magazine, American Library Association.


Enumerative Combinatorics

Автор: Stanley
Название: Enumerative Combinatorics
ISBN: 1107602629 ISBN-13(EAN): 9781107602625
Издательство: Cambridge Academ
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Цена: 39920.00 T
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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.

Notes on Counting: An Introduction to Enumerative Combinatorics

Автор: Peter J. Cameron
Название: Notes on Counting: An Introduction to Enumerative Combinatorics
ISBN: 1108417361 ISBN-13(EAN): 9781108417365
Издательство: Cambridge Academ
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Цена: 88710.00 T
Наличие на складе: Невозможна поставка.
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.

Enumerative Theory Of Maps

Автор: Liu Yanpei
Название: Enumerative Theory Of Maps
ISBN: 0792355997 ISBN-13(EAN): 9780792355991
Издательство: Springer
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Цена: 102480.00 T
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Описание: As soon as the problem without considering the symmetry is solved for one kind of map, the general problem with symmetry can always, in principle, be solved from what we have known about the automorphism of a polyhedron, a synonym for a map, which can be determined efficiently according to another monograph of the present author [Liu58].

Uniform Central Limit Theorems

Автор: Dudley
Название: Uniform Central Limit Theorems
ISBN: 0521738415 ISBN-13(EAN): 9780521738415
Издательство: Cambridge Academ
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Цена: 51750.00 T
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Описание: This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand`s generic chaining approach to boundedness of Gaussian processes and Gine and Zinn`s characterization of uniform Donsker classes.

Enumerative Combinatorics, vol.2

Автор: Stanley, Richard
Название: Enumerative Combinatorics, vol.2
ISBN: 0521789877 ISBN-13(EAN): 9780521789875
Издательство: Cambridge Academ
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Цена: 52790.00 T
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Описание: Enumerative combinatorics deals with the basic problem of counting how many objects have a given property, a subject of great applicability. This book provides an introduction at a level suitable for graduate students. Extensive exercises with solutions show connections to other areas of mathematics.

Erd?s–Ko–Rado Theorems: Algebraic Approaches

Автор: Godsil
Название: Erd?s–Ko–Rado Theorems: Algebraic Approaches
ISBN: 1107128447 ISBN-13(EAN): 9781107128446
Издательство: Cambridge Academ
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Цена: 74970.00 T
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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.

Combinatoire enumerative

Автор: Gilbert Labelle; Pierre Leroux
Название: Combinatoire enumerative
ISBN: 3540172076 ISBN-13(EAN): 9783540172079
Издательство: Springer
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Цена: 37220.00 T
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Uniform Central Limit Theorems

Автор: Dudley
Название: Uniform Central Limit Theorems
ISBN: 0521498848 ISBN-13(EAN): 9780521498845
Издательство: Cambridge Academ
Рейтинг:
Цена: 98210.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand`s generic chaining approach to boundedness of Gaussian processes and Gine and Zinn`s characterization of uniform Donsker classes.


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