# Combinatorial Mathematics

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*Herbert John Ryser*

MAA Press: An Imprint of the American Mathematical Society

Herbert J. Ryser is widely regarded as one of the major figures in combinatorics in the 20th century. His Combinatorial Mathematics is a classic which has enticed many young mathematics students into this area.

#### Reviews & Endorsements

This polished and readable account of some fascinating aspects of the subject is devoted mainly to existence problems including several basic, original contributions made by the author himself … the subject is justly known for its difficulty, and Ryser is to be congratulated for his clear presentation. The exposition is supplemented by a good index and an appropriate bibliography for each chapter. An attractive feature is the mention of various interesting, unsolved problems in which the field abounds.

-- Victor Klee, Science

# Table of Contents

## Combinatorial Mathematics

- Front Cover Cover11
- Combinatorial Mathematics vi7
- Copyright Page vii8
- Contents xiv15
- Chapter 1. Fundamentals of Combinatorial Mathematics 219
- Chapter 2. The Principle of Inclusion and Exclusion 1835
- Chapter 3. Recurrence Relations 3047
- Chapter 4. A Theorem of Ramsey 3956
- Chapter 5. Systems of Distinct Representatives 4865
- Chapter 6. Matrices of Zeros and Ones 6279
- Chapter 7. Orthogonal Latin Squares 8097
- Chapter 8. Combinatorial Designs 97114
- Chapter 9. Perfect Difference Sets 132149
- List of Notation 144161
- Index 148165