Contents
List of Tables xi
Preface to the Second Edition xiii
Acknowledgements xv
Preface to the First Edition xvii
Chapter 1. Preliminaries 1
§1.1. The Pigeonhole Principle 3
§1.2. Ramsey’s Theorem 6
§1.3. Some Notation 9
§1.4. Three Classical Theorems 11
§1.5. A Little More Notation 14
§1.6. Exercises 17
§1.7. Research Problems 20
§1.8. References 21
Chapter 2. Van der Waerden’s Theorem 23
§2.1. The Compactness Principle 27
§2.2. Alternate Forms of van der Waerden’s Theorem 29
§2.3. Computing van der Waerden Numbers 31
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