Soifer Ramsey Theory

Yesterday, Today, and Tomorrow
1. Auflage 2010
ISBN: 978-0-8176-8092-3
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 285, 199 Seiten

Reihe: Progress in Mathematics

This book explores the theory's history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject; the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians alike.

Alexander Soifer is a Russian born and educated American mathematician, a professor of mathematics at the University of Colorado, an author of some 200 articles on mathematics, history of mathematics, mathematics education, film reviews, etc. He is Senior Vice President of the World Federation of National Mathematics Competitions, which in 2006 awarded him The Paul Erdos Award. 26 years ago Soifer founded and has since chaired the Colorado Mathematical Olympiad, and served on both the USSR and USA Mathematical Olympiads committees. Soifer's Erdos number is 1.

Autoren/Hrsg.

Soifer, Alexander

Inhaltsverzeichnis

1;Ramsey Theory;2
2;What This Book Is About and How It Came into Being;7
3;Contents;10
4;Ramsey Theory Before Ramsey, Prehistory and Early History: An Essay in 13 Parts;14
5;EightyYearsof RamseyR(3,k)andCounting!;40
6;Ramsey Numbers Involving Cycles;53
7;On the Function of Erdos and Rogers;75
8;Large Monochromatic Components in Edge Colorings of Graphs: A Survey;89
9;Szlam's Lemma: Mutant Offspring of a Euclidean Ramsey Problem from 1973, with Numerous Applications;109
10;Open Problems in Euclidean Ramsey Theory;126
11;Chromatic Number of the Plane Its Relatives, History, Problems and Results: An Essay in 11 Parts;132
12;Euclidean Distance Graphs on the Rational Points;173
13;Open Problems Session;187