Fundamentals of Ramsey theory / Aaron Robertson, Colgate University.
| Author/creator | Robertson, Aaron, 1971- |
| Format | Electronic |
| Edition | First edition. |
| Publication Info | Boca Raton : CRC Press, Taylor & Francis Group, 2021. |
| Description | 1 online resource |
| Supplemental Content | Full text available from Taylor & Francis eBooks |
| Subjects |
| Series | Discrete mathematics and its applications |
| Abstract | "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. Additionally, the book offers: A chapter providing different approaches to Ramsey theory, e.g., using topological dynamics, ergodic systems, and algebra in the Stone-♯Œech compactification of the integers. A chapter on the probabilistic method since it is quite central to Ramsey-type numbers. A unique chapter presenting some applications of Ramsey theory. Exercises in every chapter The intended audience consists of students and mathematicians desiring to learn about Ramsey theory. An undergraduate degree in mathematics (or its equivalent for advanced undergraduates) and a combinatorics course is assumed"-- Provided by publisher. |
| General note | "A Chapman & Hall book." |
| Bibliography note | Includes bibliographical references and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Source of description | Description based on print version record and CIP data provided by publisher. |
| Issued in other form | Print version: Robertson, Aaron, 1971- Fundamentals of Ramsey theory First edition. Boca Raton : CRC Press, Taylor & Francis Group, 2021 9781138364332 |
| Genre/form | Electronic books. |
| LCCN | 2021000971 |
| ISBN | 9780429431418 (ebook) |
| ISBN | (hardback) |