A Course in Enumeration (Graduate Texts in Mathematics 238 2007 ed.)

A Course in Enumeration (Graduate Texts in Mathematics 238 2007 ed.)

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.


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

  • ISBN13: 9783540390329
  • Format: Hardback
  • Number Of Pages: 565
  • ID: 9783540390329
  • weight: 1022
  • ISBN10: 3540390324
  • edition: 2007 ed.

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