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Ramsey theory : yesterday, today, and tomorrow

Author: Alexander Soifer
Publisher: New York ; Dordrecht : Birkhäuser, ©2011.
Series: Progress in mathematics (Boston, Mass.), v. 285.
Edition/Format:   eBook : Document : Essay : EnglishView all editions and formats
Summary:
Ramsey theory is a relatively new, approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and measure theory. Ramsey theory possesses its own unifying ideas, and some of its results are among the most beautiful theorems of mathematics. The  Read more...
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Genre/Form: Electronic books
History
Additional Physical Format: Print version:
Ramsey theory.
New York ; Dordrecht : Birkhäuser ; c2011
(DLC) 2010938367
(OCoLC)646113632
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander Soifer
ISBN: 9780817680923 0817680926
OCLC Number: 750173029
Description: 1 online resource (xiv, 189 pages) : illustrations
Contents: Ramsey Theory before Ramsey, prehistory and early history: an essay in 13 parts / Alexander Soifer --
Eighty years of Ramsey R (3,k) ... and Counting! / Joel Spencer --
Ramsey numbers involving cycles / Stanislaw P. Radziszowski --
On the function of Erdős and Rogers / Andrzej Dudek and Vojtĕch Rödl --
Large monochromatic components in edge colorings of graphs: a survey / András Gyárfás --
Szlam's Lemma: mutant offspring of a Euclidean Ramsey problem from 1973, with numerous applications / Jeffrey Burkert and Peter Johnson, Jr. --
Open problems in Euclidean Ramsey theory / Ron Graham and Eric Tressler --
Chromatic number of the plane & its relatives, history, problems and results: an essay in 11 parts / Alexander Soifer --
Euclidean distance graphs on the rational points / Peter Johnson, Jr. --
Open problems session.
Series Title: Progress in mathematics (Boston, Mass.), v. 285.
Responsibility: Alexander Soifer, editor.
More information:

Abstract:

Ramsey Theory explores the history of Ramsey theory, recent developments, and promising future directions. The chapters provide historical background on the subject, and address Euclidean Ramsey  Read more...

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"As we learn from the preface, [Ramsey Theory: Yesterday, Today and Tomorrow] grew out of an intentionally non-traditional conference on Ramsey theory. In accordance with that, the book itself is far Read more...

 
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