Ramsey Theory
Seiten
2017
|
3rd Revised edition
Wiley-Blackwell (Verlag)
978-0-470-39185-3 (ISBN)
Wiley-Blackwell (Verlag)
978-0-470-39185-3 (ISBN)
Still the only self-contained reference book for this very alive and active field of mathematics, the updated Third Edition covers the major concepts and theorems of Ramsey Theory and provides both full proofs (in many cases more than one proof to give different vantage points) and a leisurely discussion of the major theorems.
Ramsey Theory has become the reference book its field as it contains most of the results and techniques in classical Ramsey Theory and remains the only book to cover the broad spectrum of the subject area. It provides both full proofs (in many cases more than one proof to give different vantage points) and a leisurely discussion of the major theorems, such as Ramsey's Theorem, van der Waerden's Theorem, the Hales-Jewett Theorem, and Rado's Theorem. A new chapter on Graph Ramsey has been added in light of recent emphasis on the topic within the mathematics community, and numerous new exercises have been added to help make the book more classroom friendly. This book also includes a complete treatment of Saharon Shelah's proof, which avoids double induction, involves fast growing functions, and is elementary in nature. A historical perspective is included and discusses the fundamental papers of Ramsey in 1930, and of Erdos and Szekeres in 1935.
Ramsey Theory has become the reference book its field as it contains most of the results and techniques in classical Ramsey Theory and remains the only book to cover the broad spectrum of the subject area. It provides both full proofs (in many cases more than one proof to give different vantage points) and a leisurely discussion of the major theorems, such as Ramsey's Theorem, van der Waerden's Theorem, the Hales-Jewett Theorem, and Rado's Theorem. A new chapter on Graph Ramsey has been added in light of recent emphasis on the topic within the mathematics community, and numerous new exercises have been added to help make the book more classroom friendly. This book also includes a complete treatment of Saharon Shelah's proof, which avoids double induction, involves fast growing functions, and is elementary in nature. A historical perspective is included and discusses the fundamental papers of Ramsey in 1930, and of Erdos and Szekeres in 1935.
| Erscheint lt. Verlag | 28.8.2017 |
|---|---|
| Reihe/Serie | Wiley Series in Discrete Mathematics and Optimization |
| Verlagsort | Hoboken |
| Sprache | englisch |
| Maße | 150 x 250 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| ISBN-10 | 0-470-39185-5 / 0470391855 |
| ISBN-13 | 978-0-470-39185-3 / 9780470391853 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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