Ramsey Theory
Yesterday, Today, and Tomorrow
(Sprache: Englisch)
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 theory and related coloring problems.
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Produktdetails
Produktinformationen zu „Ramsey Theory “
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 theory and related coloring problems.
Klappentext zu „Ramsey Theory “
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.
Inhaltsverzeichnis zu „Ramsey Theory “
How This Book Came into Being.- Table of Contents.- Ramsey Theory before Ramsey, Prehistory and Early History: An Essay in 13 Parts.- Eighty Years of Ramsey R(3, k). . . and Counting!.- Ramsey Numbers Involving Cycles.- On the function of Erd s and Rogers.- Large Monochromatic Components in Edge Colorings of Graphs.- Szlam's Lemma: Mutant Offspring of a Euclidean Ramsey Problem: From 1973, with Numerous Applications.- Open Problems in Euclidean Ramsey Theory.- Chromatic Number of the Plane and Its Relatives, History,Problems and Results: An Essay in 11 Parts.- Euclidean Distance Graphs on the Rational Points.- Open Problems Session.
Autoren-Porträt
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.
Bibliographische Angaben
- 2010, 190 Seiten, Maße: 15,9 x 24,1 cm, Gebunden, Englisch
- Herausgegeben von Soifer, Alexander
- Herausgegeben: Alexander Soifer
- Verlag: Springer
- ISBN-10: 0817680918
- ISBN-13: 9780817680916
Sprache:
Englisch
Rezension zu „Ramsey Theory “
"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 from being a traditional textbook or reference book on the subject...We learn far more about the history of Ramsey theory than from other sources...the promise of discussing the future is fulfilled by a very extensive list of open problems contributed by numerous participants. Sometimes it is not even clear what the best way of asking a certain question is, and we are shown the raw form of the problem, just as we would if we participated at a conference...the book is undoubtedly a lot of fun. As one expects from a book on Ramsey theory, it is full of problems that are very easy to formulate, but terribly hard to solve...[the book] could well be used for a course using a seminar format, or for self-study by a graduate student familiarizing himself with the subject." -MAA Reviews
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