A Course in Enumeration
by
Aigner, Martin. author.
Title
:
A Course in Enumeration
Author
:
Aigner, Martin. author.
ISBN
:
9783540390350
Personal Author
:
Aigner, Martin. author.
Physical Description
:
X, 565 p. 55 illus. online resource.
Series
:
Graduate Texts in Mathematics, 238
Contents
:
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.
Abstract
:
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.
Subject Term
:
Mathematics.
Computational complexity.
Combinatorics.
Mathematical physics.
Mathematical and Computational Physics.
Discrete Mathematics in Computer Science.
Added Corporate Author
:
SpringerLink (Online service)
Electronic Access
:
Library | Material Type | Item Barcode | Shelf Number | Status |
---|
IYTE Library | E-Book | 511628-1001 | QA164 -167.2 | Online Springer |