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Rudiments of Ramsey Theory: Second Edition
 
Ron Graham University of California, San Diego, La Jolla, CA
Steve Butler Iowa State University, Ames, IA
A co-publication of the AMS and CBMS
Front Cover for Rudiments of Ramsey Theory
Available Formats:
Softcover ISBN: 978-0-8218-4156-3
Product Code: CBMS/123
82 pp 
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $24.80
Electronic ISBN: 978-1-4704-2667-5
Product Code: CBMS/123.E
82 pp 
List Price: $29.00
MAA Member Price: $26.10
AMS Member Price: $23.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $46.50
MAA Member Price: $41.85
AMS Member Price: $37.20
Front Cover for Rudiments of Ramsey Theory
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  • Front Cover for Rudiments of Ramsey Theory
  • Back Cover for Rudiments of Ramsey Theory
Rudiments of Ramsey Theory: Second Edition
Ron Graham University of California, San Diego, La Jolla, CA
Steve Butler Iowa State University, Ames, IA
A co-publication of the AMS and CBMS
Available Formats:
Softcover ISBN:  978-0-8218-4156-3
Product Code:  CBMS/123
82 pp 
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $24.80
Electronic ISBN:  978-1-4704-2667-5
Product Code:  CBMS/123.E
82 pp 
List Price: $29.00
MAA Member Price: $26.10
AMS Member Price: $23.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $46.50
MAA Member Price: $41.85
AMS Member Price: $37.20
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 1232015
    MSC: Primary 05;

    In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colorings of the integers by finitely many colors must have long monochromatic arithmetic progressions (van der Waerden's theorem); and colorings of the edges of large graphs must have monochromatic subgraphs of a specified type (Ramsey's theorem). This book explores many of the basic results and variations of this theory.

    Since the first edition of this book there have been many advances in this field. In the second edition the authors update the exposition to reflect the current state of the art. They also include many pointers to modern results.

    A co-publication of the AMS and CBMS.

    Readership

    Graduate students and researchers interested in combinatorics, in particular, Ramsey theory.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Chapter 1. Three views of Ramsey theory
    • Chapter 2. Ramsey’s theorem
    • Chapter 3. van der Waerden’s theorem
    • Chapter 4. The Hales-Jewett theorem
    • Chapter 5. Szemerédi’s theorem
    • Chapter 6. Graph Ramsey theory
    • Chapter 7. Euclidean Ramsey theory
    • Chapter 8. A general Ramsey product theorem
    • Chapter 9. The theorems of Schur, Folkman, and Hindman
    • Chapter 10. Rado’s theorem
    • Chapter 11. Current trends
  • Additional Material
     
     
  • Request Review Copy
Volume: 1232015
MSC: Primary 05;

In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colorings of the integers by finitely many colors must have long monochromatic arithmetic progressions (van der Waerden's theorem); and colorings of the edges of large graphs must have monochromatic subgraphs of a specified type (Ramsey's theorem). This book explores many of the basic results and variations of this theory.

Since the first edition of this book there have been many advances in this field. In the second edition the authors update the exposition to reflect the current state of the art. They also include many pointers to modern results.

A co-publication of the AMS and CBMS.

Readership

Graduate students and researchers interested in combinatorics, in particular, Ramsey theory.

  • Chapters
  • Introduction
  • Chapter 1. Three views of Ramsey theory
  • Chapter 2. Ramsey’s theorem
  • Chapter 3. van der Waerden’s theorem
  • Chapter 4. The Hales-Jewett theorem
  • Chapter 5. Szemerédi’s theorem
  • Chapter 6. Graph Ramsey theory
  • Chapter 7. Euclidean Ramsey theory
  • Chapter 8. A general Ramsey product theorem
  • Chapter 9. The theorems of Schur, Folkman, and Hindman
  • Chapter 10. Rado’s theorem
  • Chapter 11. Current trends
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