Ramsey Theory
2nd Edition
Published on 19. November 2013
Book
Paperback/Softback
212 pages
978-1-118-79966-6 (ISBN)
Description
Praise for the First Edition
"Anyone interested in getting an introduction to Ramsey theorywill find this illuminating..."
--MAA Reviews
Covering all the major concepts, proofs, and theorems, theSecond Edition of Ramsey Theory is the ultimate guideto understanding every aspect of Shelah's proof, as well asthe original proof of van der Waerden. The book offers a historicalperspective of Ramsey's fundamental paper from 1930 andErdos' and Szekeres' article from 1935, while placingthe various theorems in the context of T. S. Motzkin'sthought on the subject of "Complete Disorder isImpossible."
Ramsey Theory, Second Edition includes new and excitingcoverage of Graph Ramsey Theory and Euclidean Ramsey Theory andalso relates Ramsey Theory to other areas in discrete mathematics.In addition, the book features the unprovability results of Parisand Harrington and the methods from topological dynamics pioneeredby Furstenburg.
Featuring worked proofs and outside applications, RamseyTheory, Second Edition addresses:
* Ramsey and density theorems on both broad and meticulousscales
* Extentions and implications of van der Waerden's Theorem,the Hales-Jewett Theorem, Roth's Theorem, Rado'sTheorem, Szemeredi's Theorem, and the Shelah Proof
* Regular homogeneous and nonhomogeneous systems andequations
* Special cases and broader interdisciplinary applications ofRamsey Theory principles
An invaluable reference for professional mathematicians workingin discrete mathematics, combinatorics, and algorithms, RamseyTheory, Second Edition is the definitive work on thesubject.
"Anyone interested in getting an introduction to Ramsey theorywill find this illuminating..."
--MAA Reviews
Covering all the major concepts, proofs, and theorems, theSecond Edition of Ramsey Theory is the ultimate guideto understanding every aspect of Shelah's proof, as well asthe original proof of van der Waerden. The book offers a historicalperspective of Ramsey's fundamental paper from 1930 andErdos' and Szekeres' article from 1935, while placingthe various theorems in the context of T. S. Motzkin'sthought on the subject of "Complete Disorder isImpossible."
Ramsey Theory, Second Edition includes new and excitingcoverage of Graph Ramsey Theory and Euclidean Ramsey Theory andalso relates Ramsey Theory to other areas in discrete mathematics.In addition, the book features the unprovability results of Parisand Harrington and the methods from topological dynamics pioneeredby Furstenburg.
Featuring worked proofs and outside applications, RamseyTheory, Second Edition addresses:
* Ramsey and density theorems on both broad and meticulousscales
* Extentions and implications of van der Waerden's Theorem,the Hales-Jewett Theorem, Roth's Theorem, Rado'sTheorem, Szemeredi's Theorem, and the Shelah Proof
* Regular homogeneous and nonhomogeneous systems andequations
* Special cases and broader interdisciplinary applications ofRamsey Theory principles
An invaluable reference for professional mathematicians workingin discrete mathematics, combinatorics, and algorithms, RamseyTheory, Second Edition is the definitive work on thesubject.
More details
Series
Edition
2nd edition
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 12 mm
Weight
318 gr
ISBN-13
978-1-118-79966-6 (9781118799666)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Ronald L. Graham | Bruce L. Rothschild | Joel H. Spencer
Ramsey Theory
Book
04/1990
2nd Edition
Wiley
€291.50
Shipment within 10-20 days
Persons
RONALD L. GRAHAM, PhD, is Professor of Mathematics and the Irwin and Joan Jacobs Professor of Computer and Information Science at the University of California in San Diego.
BRUCE L. ROTHSCHILD, PhD, is Professor of Mathematics at the University of California in Los Angeles.
JOEL H. SPENCER, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is coauthor of The Probabilistic Method, also published by Wiley, and cofounder of the journal Random Structures and Algorithms.
BRUCE L. ROTHSCHILD, PhD, is Professor of Mathematics at the University of California in Los Angeles.
JOEL H. SPENCER, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is coauthor of The Probabilistic Method, also published by Wiley, and cofounder of the journal Random Structures and Algorithms.
Content
Sets.
Progressions.
Equations.
Numbers.
Particulars.
Beyond Combinatorics.
References.
Index.
Progressions.
Equations.
Numbers.
Particulars.
Beyond Combinatorics.
References.
Index.