Ramsey Theory for Discrete Structures
- 種類:
- 電子ブック
- 責任表示:
- by Hans Jürgen Prömel
- 出版情報:
- Cham : Springer International Publishing : Imprint: Springer, 2013
- 著者名:
- ISBN:
- 9783319013152 [3319013157]
- 注記:
- This monograph covers some of the most important developments in Ramsey theory from its beginnings in the early 20th century via its many breakthroughs to recent important developments in the early 21st century. The book first presents a detailed discussion of the roots of Ramsey theory before offering a thorough discussion of the role of parameter sets. It presents several examples of structures that can be interpreted in terms of parameter sets and features the most fundamental Ramsey-type results for parameter sets: Hales-Jewett's theorem and Graham-Rothschild¹s Ramsey theorem as well as their canonical versions and several applications. Next, the book steps back to the most basic structure, to sets. It reviews classic results as well as recent progress on Ramsey numbers and the asymptotic behavior of classical Ramsey functions. In addition, the chapter presents product versions of Ramsey's theorem, a combinatorial proof of the incompleteness of Peano arithmetic, provides a digression to discrepancy theo
- ローカル注記:
- 学内専用E-BOOKS (local access only)
類似資料:
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Springer Science+Business Media, LLC |
Springer Science+Business Media, LLC |
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Springer Berlin Heidelberg |
Springer Science+Business Media, LLC |
|
Springer-Verlag Berlin Heidelberg |
Springer International Publishing : Imprint: Springer |
|
Springer Science + Business Media, Inc. |
Springer New York : Imprint: Springer |
|
Springer New York : Imprint: Springer |
Springer Science+Business Media, LLC |
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Springer-Verlag GmbH. |
