Ramsey Theory by Ronald L. Graham (English) Paperback Book

Description: Ramsey Theory by Ronald L. Graham, Bruce L. Rothschild, Joel H. Spencer Wiley-Interscience Series in Discrete Mathematics and Optimization Advisory Editors: Ronald L. Graham, Jan Karel Lenstra, and Robert E. Tarjan Discrete mathematics, the study of finite structures, is one of the fastest-growing areas in mathematics. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher 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 Shelahs proof, as well asthe original proof of van der Waerden. The book offers a historicalperspective of Ramseys fundamental paper from 1930 andErdos and Szekeres article from 1935, while placingthe various theorems in the context of T. S. Motzkinsthought 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 Waerdens Theorem,the Hales-Jewett Theorem, Roths Theorem, RadosTheorem, Szemeredis 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. Back Cover Praise for the First Edition "Anyone interested in getting an introduction to Ramsey theory will find this illuminating..." --MAA Reviews Covering all the major concepts, proofs, and theorems, the Second Edition of Ramsey Theory is the ultimate guide to understanding every aspect of Shelahs proof, as well as the original proof of van der Waerden. The book offers a historical perspective of Ramseys fundamental paper from 1930 and Erdos and Szekeres article from 1935, while placing the various theorems in the context of T. S. Motzkins thought on the subject of "Complete Disorder is Impossible." Ramsey Theory, Second Edition includes new and exciting coverage of Graph Ramsey Theory and Euclidean Ramsey Theory and also relates Ramsey Theory to other areas in discrete mathematics. In addition, the book features the unprovability results of Paris and Harrington and the methods from topological dynamics pioneered by Furstenburg. Featuring worked proofs and outside applications, Ramsey Theory, Second Edition addresses: Ramsey and density theorems on both broad and meticulous scales Extentions and implications of van der Waerdens Theorem, the Hales-Jewett Theorem, Roths Theorem, Rados Theorem, Szemeredis Theorem, and the Shelah Proof Regular homogeneous and nonhomogeneous systems and equations Special cases and broader interdisciplinary applications of Ramsey Theory principles An invaluable reference for professional mathematicians working in discrete mathematics, combinatorics, and algorithms, Ramsey Theory, Second Edition is the definitive work on the subject. Flap Praise for the First Edition "Anyone interested in getting an introduction to Ramsey theory will find this illuminating..." --MAA Reviews Covering all the major concepts, proofs, and theorems, the Second Edition of Ramsey Theory is the ultimate guide to understanding every aspect of Shelahs proof, as well as the original proof of van der Waerden. The book offers a historical perspective of Ramseys fundamental paper from 1930 and Erdos and Szekeres article from 1935, while placing the various theorems in the context of T. S. Motzkins thought on the subject of "Complete Disorder is Impossible." Ramsey Theory, Second Edition includes new and exciting coverage of Graph Ramsey Theory and Euclidean Ramsey Theory and also relates Ramsey Theory to other areas in discrete mathematics. In addition, the book features the unprovability results of Paris and Harrington and the methods from topological dynamics pioneered by Furstenburg. Featuring worked proofs and outside applications, Ramsey Theory, Second Edition addresses: Ramsey and density theorems on both broad and meticulous scales Extentions and implications of van der Waerdens Theorem, the Hales-Jewett Theorem, Roths Theorem, Rados Theorem, Szemeredis Theorem, and the Shelah Proof Regular homogeneous and nonhomogeneous systems and equations Special cases and broader interdisciplinary applications of Ramsey Theory principles An invaluable reference for professional mathematicians working in discrete mathematics, combinatorics, and algorithms, Ramsey Theory, Second Edition is the definitive work on the subject. Author Biography 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. Table of Contents Sets. Progressions. Equations. Numbers. Particulars. Beyond Combinatorics. References. Index. Long Description Praise for the First Edition "Anyone interested in getting an introduction to Ramsey theory will find this illuminating..." MAA Reviews Covering all the major concepts, proofs, and theorems, the Second Edition of Ramsey Theory is the ultimate guide to understanding every aspect of Shelahs proof, as well as the original proof of van der Waerden. The book offers a historical perspective of Ramseys fundamental paper from 1930 and Erdos and Szekeres article from 1935, while placing the various theorems in the context of T. S. Motzkins thought on the subject of "Complete Disorder is Impossible." Ramsey Theory, Second Edition includes new and exciting coverage of Graph Ramsey Theory and Euclidean Ramsey Theory and also relates Ramsey Theory to other areas in discrete mathematics. In addition, the book features the unprovability results of Paris and Harrington and the methods from topological dynamics pioneered by Furstenburg. Featuring worked proofs and outside applications, Ramsey Theory, Second Edition addresses: Ramsey and density theorems on both broad and meticulous scales Extentions and implications of van der Waerdens Theorem, the HalesJewett Theorem, Roths Theorem, Rados Theorem, Szemeredis Theorem, and the Shelah Proof Regular homogeneous and nonhomogeneous systems and equations Special cases and broader interdisciplinary applications of Ramsey Theory principles An invaluable reference for professional mathematicians working in discrete mathematics, combinatorics, and algorithms, Ramsey Theory, Second Edition is the definitive work on the subject. Details ISBN1118799666 Publisher John Wiley & Sons Inc Series Wiley Series in Discrete Mathematics and Optimization Edition 2nd ISBN-10 1118799666 ISBN-13 9781118799666 Format Paperback Imprint John Wiley & Sons Inc Place of Publication New York Country of Publication United States DEWEY 511.5 Short Title RAMSEY THEORY 2/E Language English Media Book Pages 212 Illustrations black & white line drawings, black & white tables, figures UK Release Date 2013-11-19 AU Release Date 2014-03-18 NZ Release Date 2014-03-18 Author Joel H. Spencer Edition Description 2nd edition Year 2013 Publication Date 2013-11-19 Alternative 9780471500469 Audience Professional & Vocational US Release Date 2013-11-19 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:136208192;

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