TY - BOOK AU - Graham,Ron AU - Butler,Steven ED - CBMS Regional Conference TI - Rudiments of Ramsey theory T2 - CBMS regional conference series in mathematics SN - 9780821841563 (alk. paper) U1 - 510 23 PY - 2015/// CY - Providence : PB - AMS KW - Combinatorial analysis KW - Congresses KW - Graph theory KW - Ramsey theory N1 - 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 N2 - 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 ER -