Combinatorics

ISBN-10: 047126296X
ISBN-13: 9780471262961
Edition: 2nd 2003 (Revised)
Authors: Russell Merris
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Description: This updated edition provides the foundation for mastering combinatorics. Blending an accessible style with mathematical rigour, the text provides a flexible tool for a wide variety of approaches to combinatorics.

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Book details

List price: $192.00
Edition: 2nd
Copyright year: 2003
Publisher: John Wiley & Sons, Incorporated
Publication date: 8/15/2003
Binding: Hardcover
Pages: 576
Size: 6.75" wide x 9.75" long x 1.50" tall
Weight: 0.924
Language: English

This updated edition provides the foundation for mastering combinatorics. Blending an accessible style with mathematical rigour, the text provides a flexible tool for a wide variety of approaches to combinatorics.

Preface
The Mathematics of Choice
The Fundamental Counting Principle
Pascal's Triangle
Elementary Probability
Error-Correcting Codes
Combinatorial Identities
Four Ways to Choose
The Binomial and Multinomial Theorems
Partitions
Elementary Symmetric Functions
Combinatorial Algorithms
The Combinatorics of Finite Functions
Stirling Numbers of the Second Kind
Bells, Balls, and Urns
The Principle of Inclusion and Exclusion
Disjoint Cycles
Stirling Numbers of the First Kind
Polya's Theory of Enumeration
Function Composition
Permutation Groups
Burnside's Lemma
Symmetry Groups
Color Patterns
Polya's Theorem
The Cycle Index Polynomial
Generating Functions
Difference Sequences
Ordinary Generating Functions
Applications of Generating Functions
Exponential Generating Functions
Recursive Techniques
Enumeration in Graphs
The Pigeonhole Principle
Edge Colorings and Ramsey Theory
Chromatic Polynomials
Planar Graphs
Matching Polynomials
Oriented Graphs
Graphic Partitions
Codes and Designs
Linear Codes
Decoding Algorithms
Latin Squares
Balanced Incomplete Block Designs
Symmetric Polynomials
Sorting Algorithms
Matrix Theory
Bibliography
Hints and Answers to Selected Odd-Numbered Exercises
Index of Notation
Index

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