Fundamentals of Ramsey Theory 1st Edition by Aaron Robertson ISBN 103201802X 978-1032018027

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Product details:

ISBN 10: 103201802X 

ISBN 13: 978-1032018027

Author:  Aaron Robertson

Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the main results in Ramsey theory along with results that have not appeared in a book before.

The presentation is comprehensive and reader friendly. The book covers integer, graph, and Euclidean Ramsey theory with many proofs being combinatorial in nature. The author motivates topics and discussion, rather than just a list of theorems and proofs. In order to engage the reader, each chapter has a section of exercises.

This up-to-date book introduces the field of Ramsey theory from several different viewpoints so that the reader can decide which flavor of Ramsey theory best suits them.

Table of contents: 

1. Introduction

2. Integer Ramsey Theory

3. Graph Ramsey Theory

4. Euclidean Ramsey Theory

5. Other Approaches to Ramsey Theory

6. The Probabilistic Method

7. Applications

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Tags: Aaron Robertson, Fundamentals, Ramsey Theory