A Course in Enumeration (Graduate Texts in Mathematics v. 238)

A Course in Enumeration (Graduate Texts in Mathematics v. 238)

By: Martin Aigner (author)Hardback

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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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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: 26/06/2007
  • ISBN13: 9783540390329
  • Format: Hardback, Paperback
  • Number Of Pages: 575
  • ID: 9783540390329
  • weight: 978
  • ISBN10: 3540390324

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