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Mathematics - Algebra | A Course in Enumeration

A Course in Enumeration

Series: Graduate Texts in Mathematics, Vol. 238

Aigner, Martin

2007, X, 561 p. 55 illus.

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  • Introductory text for newcomers, whether students or professional mathematicians
  • Includes more than 650 exercises
  • Each chapter includes a highlight section discussing in detail an elegant or famous result

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 the basic notions of combinatorial enumeration to a variety of topics, ranging from algebra to statistical physics. The aim of the author is to introduce readers to a fascinating field, and to offer a sophisticated source of information for the professional mathematician who wants to learn more about the subject. The book is organized in three parts: Basics, Methods, and Topics. There are 666 exercises, and as a special feature every chapter ends with a highlight section, discussing in detail a particularly beautiful or famous result.

Content Level » Professional/practitioner

Keywords » Algebra - Pólya theory - combinatorial coefficients - generating functions - graph and knot polynomials - hypergeometric summation - orthogonal polynomials - sieve methods - statisical physics - statistical physics - symmetric functions

Related subjects » Algebra - Theoretical, Mathematical & Computational Physics - Theoretical Computer Science

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