Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
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
Rudiments of Ramsey Theory
Softcover ISBN:  978-0-8218-4156-3
Product Code:  CBMS/123
List Price: $33.00
MAA Member Price: $29.70
AMS Member Price: $26.40
eBook ISBN:  978-1-4704-2667-5
Product Code:  CBMS/123.E
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $24.80
Softcover ISBN:  978-0-8218-4156-3
eBook: ISBN:  978-1-4704-2667-5
Product Code:  CBMS/123.B
List Price: $64.00 $48.50
MAA Member Price: $57.60 $43.65
AMS Member Price: $51.20 $38.80
Rudiments of Ramsey Theory
Click above image for expanded view
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
Softcover ISBN:  978-0-8218-4156-3
Product Code:  CBMS/123
List Price: $33.00
MAA Member Price: $29.70
AMS Member Price: $26.40
eBook ISBN:  978-1-4704-2667-5
Product Code:  CBMS/123.E
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $24.80
Softcover ISBN:  978-0-8218-4156-3
eBook ISBN:  978-1-4704-2667-5
Product Code:  CBMS/123.B
List Price: $64.00 $48.50
MAA Member Price: $57.60 $43.65
AMS Member Price: $51.20 $38.80
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 1232015; 82 pp
    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
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 1232015; 82 pp
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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.