A Course in Enumeration

A Course in Enumeration

A Course in Enumeration

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the...

  • ISBN: 9788132206712
  • Availability: In Stock
  • Author Martin Aigner
  • Publisher Springer (India) Private Limited
  • Binding Paperback
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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 the basic notions to a variety of topics, ranging from algebra to statistical physics. Its aim is to introduce the student to a fascinating field, and to be a 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, discussing a particularly beautiful or famous result.

Table of Contents
Introduction
Part I: Basics
1 Fundamental Coefficients
2 Formal Series and Infinite Matrices
Part II: Methods
3 Generating Functions
4 Hypergeometric Summation
5 Sieve Methods
6 Enumeration of Patterns
Part III: Topics
7 The Catalan Connection
8 Symmetric Functions
9 Counting Polynomials
10 Models from Statistical Physics
Solutions to Selected Exercises
Notation
Index

 
ISBN 9788132206712
Langauage English
Pages 565
Publisher Springer (India) Private Limited
Binding Paperback

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