A Course in Enumeration (Graduate Texts in Mathematics 238 1st ed. Softcover of orig. ed. 2007)

A Course in Enumeration (Graduate Texts in Mathematics 238 1st ed. Softcover of orig. ed. 2007)

By: Martin Aigner (author)Paperback

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Description

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.

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Contents

Basics.- Fundamental Coefficients.- Formal Series and Infinite Matrices.- Methods.- Generating Functions.- Hypergeometric Summation.- Sieve Methods.- Enumeration of Patterns.- Topics.- The Catalan Connection.- Symmetric Functions.- Counting Polynomials.- Models from Statistical Physics.

Product Details

  • publication date: 25/11/2010
  • ISBN13: 9783642072536
  • Format: Paperback
  • Number Of Pages: 575
  • ID: 9783642072536
  • weight: 872
  • ISBN10: 3642072534
  • edition: 1st ed. Softcover of orig. ed. 2007

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