Cantitate/Preț
Produs

Ramsey Theory: Yesterday, Today, and Tomorrow: Progress in Mathematics, cartea 285

Editat de Alexander Soifer
en Limba Engleză Hardback – 5 noi 2010
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 underlying theme of Ramsey theory can be formulated as: any finite coloring of a large enough system contains a monochromatic subsystem of higher degree of organization than the system itself, or as T.S. Motzkin famously put it, absolute disorder is impossible.Ramsey Theory: Yesterday, Today, and Tomorrow 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.
Citește tot Restrânge

Din seria Progress in Mathematics

Preț: 62365 lei

Preț vechi: 73371 lei
-15% Nou

Puncte Express: 935

Preț estimativ în valută:
11937 12441$ 9937£

Carte tipărită la comandă

Livrare economică 06-20 ianuarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780817680916
ISBN-10: 0817680918
Pagini: 189
Ilustrații: XIV, 190 p. 28 illus.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.46 kg
Ediția:2011
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Progress in Mathematics

Locul publicării:Boston, MA, United States

Public țintă

Graduate

Cuprins

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 Erdὅs 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.

Recenzii

“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

Notă biografică

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.

Textul de pe ultima copertă

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 underlying theme of Ramsey theory can be formulated as: any finite coloring of a large enough system contains a monochromatic subsystem of higher degree of organization than the system itself, or as T.S. Motzkin famously put it, absolute disorder is impossible.

Ramsey Theory: Yesterday, Today, and Tomorrow 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.


Contributors:
J. Burkert,A. Dudek,R.L. Graham,A. Gyárfás,P.D. Johnson, Jr.,S.P. Radziszowski,V. Rödl,J.H. Spencer,A. Soifer,E. Tressler.

Caracteristici

Explores Ramsey theory’s history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field Provides historical background on the subject Addresses Euclidean Ramsey theory and related coloring problems Open problems are posed throughout the volume and in the concluding open problem chapter Includes supplementary material: sn.pub/extras