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Rudiments of Ramsey theory / Ron Graham and Steve Butler.

By: Contributor(s): Material type: TextTextSeries: CBMS regional conference series in mathematics ; no 123.Publication details: Providence : AMS, 2015.Edition: 2nd edDescription: ix, 82 p. ; 25 cmISBN:
  • 9780821841563 (alk. paper)
Subject(s): DDC classification:
  • 510 23 C748
Contents:
1. Three views of Ramsey theory -- 2. Ramsey's theorem -- 3. Van der Waerden's theorem -- 4. The Hales-Jewett theorem -- 5. Szemeredis theorem -- 6. Graph Ramsey theory -- 7. Euclidean Ramsey theory -- 8. A general Ramsey product theorem -- 9. The theorems of Schur, Folkman, and Hindman -- 10. Rado's theorem -- 11. Current trends -- Bibliography.
Summary: This book gives a picture of the state of the art of Ramsey theory at the time of Graham's CBMS lectures. In keeping with the style of the lectures, the exposition is informal. However, complete proofs are given for most of the basic results presented. In addition, many useful results may be found in the exercises and problems.
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Includes bibliographical references and index.

1. Three views of Ramsey theory --
2. Ramsey's theorem --
3. Van der Waerden's theorem --
4. The Hales-Jewett theorem --
5. Szemeredis theorem --
6. Graph Ramsey theory --
7. Euclidean Ramsey theory --
8. A general Ramsey product theorem --
9. The theorems of Schur, Folkman, and Hindman --
10. Rado's theorem --
11. Current trends --
Bibliography.

This book gives a picture of the state of the art of Ramsey theory at the time of Graham's CBMS lectures. In keeping with the style of the lectures, the exposition is informal. However, complete proofs are given for most of the basic results presented. In addition, many useful results may be found in the exercises and problems.

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