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A Mathematical OdysseyRamsey Theory

A Mathematical Odyssey: Ramsey Theory [Counting is a big part of modern mathematics. Many mathematical problems necessitate the estimation of a particular, precisely specified number having a certain technical description. Certainly questions of airline scheduling, Internet routing, queueing theory, and crystalline structure are of this nature. For instance, how many different airline routes are there from San Francisco to Boston with not more than two stops along the way? This is a nontrivial question with a meaningful and useful answer. Along with Lejeune Dirichlet, Frank Ramsey was one of the pioneers of counting theory. His Ramsey’s theorem pervades large parts of mathematics.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

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Publisher
Springer US
Copyright
© Springer Science+Business Media New York 2014
ISBN
978-1-4614-8938-2
Pages
59 –79
DOI
10.1007/978-1-4614-8939-9_3
Publisher site
See Chapter on Publisher Site

Abstract

[Counting is a big part of modern mathematics. Many mathematical problems necessitate the estimation of a particular, precisely specified number having a certain technical description. Certainly questions of airline scheduling, Internet routing, queueing theory, and crystalline structure are of this nature. For instance, how many different airline routes are there from San Francisco to Boston with not more than two stops along the way? This is a nontrivial question with a meaningful and useful answer. Along with Lejeune Dirichlet, Frank Ramsey was one of the pioneers of counting theory. His Ramsey’s theorem pervades large parts of mathematics.]

Published: Mar 3, 2014

Keywords: Scarlet Fever; Evil Spirit; Pigeonhole Principle; Ramsey Number; Convex Quadrilateral

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