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A Course in Enumeration, Martin Aigner


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Автор: Martin Aigner
Название:  A Course in Enumeration
ISBN: 9783642072536
Издательство: Springer
Классификация:




ISBN-10: 3642072534
Обложка/Формат: Paperback
Страницы: 565
Вес: 0.79 кг.
Дата издания: 30.11.2010
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 30
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from basic notions of combinatorial enumeration to a variety of topics, ranging from algebra to statistical physics. The book is organized in three parts: Basics, Methods, and Topics. The aim is to introduce readers to a fascinating field, and to offer a sophisticated source of information for professional mathematicians desiring to learn more. There are 666 exercises, and every chapter ends with a highlight section, discussing in detail a particularly beautiful or famous result.




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: 13320.00 р.
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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: 5988.00 р. 8554.00 -30%
Наличие на складе: Есть (1 шт.)
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.

Enumerative Combinatorics

Автор: Richard Stanley
Название: Enumerative Combinatorics
ISBN: 146159765X ISBN-13(EAN): 9781461597650
Издательство: Springer
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Цена: 6986.00 р.
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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: 7819.00 р.
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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.

Combinatoire enumerative

Автор: Gilbert Labelle; Pierre Leroux
Название: Combinatoire enumerative
ISBN: 3540172076 ISBN-13(EAN): 9783540172079
Издательство: Springer
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Цена: 5583.00 р.
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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: 15372.00 р.
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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].

Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds

Автор: Georg Polya; Dorothee Aeppli; R.C. Read
Название: Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds
ISBN: 1461291054 ISBN-13(EAN): 9781461291053
Издательство: Springer
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Цена: 11173.00 р.
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Описание: In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest- immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem -- the "Hauptsatz" of Section 4 -- a theorem which gave a method for solving a general type of enumera- tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica- tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen- sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst.

Enumerative Invariants in Algebraic Geometry and String Theory

Автор: Kai Behrend; Marcos Marino; Marco Manetti; Michael
Название: Enumerative Invariants in Algebraic Geometry and String Theory
ISBN: 3540798137 ISBN-13(EAN): 9783540798132
Издательство: Springer
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Цена: 6282.00 р.
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Описание: There has been a growing interaction between algebraic geometry and certain areas of theoretical high-energy physics. This volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, covers the most interesting findings in this subject.

Enumerative Geometry

Автор: Sebastian Xambo-Descamps
Название: Enumerative Geometry
ISBN: 3540528113 ISBN-13(EAN): 9783540528111
Издательство: Springer
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Цена: 4884.00 р.
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Описание: Describes enumerative geometry and intersection theory.


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