A Course in Enumeration
A Hardback edition by Martin Aigner in English (Jun 26, 2007)
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Short 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... Read more
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.
A Course in Enumeration Hardback edition by Martin Aigner
- Martin Aigner
- Graduate Texts in Mathematics
- Springer-Verlag Berlin and Heidelberg GmbH & Co. KG , Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication date
- Jun 26, 2007
- 2007 ed.
- Product dimensions
- 156 x 234 x 31mm
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.