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Ramsey Theory, 2nd Edition [Hardcover]

Ronald L. Graham (Author), Bruce L. Rothschild (Author), Joel H. Spencer (Author)
1.0 out of 5 stars  See all reviews (1 customer review)

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Ramsey Theory (Wiley Series in Discrete Mathematics and Optimization) Ramsey Theory (Wiley Series in Discrete Mathematics and Optimization) 1.0 out of 5 stars (1)
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Book Description

March 2, 1990 0471500461 978-0471500469 2
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. The wide applicability of its evolving techniques points to the rapidity with which the field is moving from its beginnings to its maturity, and reflects the ever-increasing interaction between discrete mathematics and computer science. This Series provides broad coverage of discrete mathematics and optimization, ranging over such fields as combinatorics, graph theory, enumeration, and the analysis of algorithms. The Wiley-Interscience Series in Discrete Mathematics and Optimization will be a substantial part of the record of the extraordinary development of this field. A complete listing of the titles in the Series appears on the inside front cover of this book.

"[Integer and Combinatorial Optimization] is a major contribution to the literature of discrete programming. This text should be required reading for anybody who intends to research this area or even just to keep abreast of developments."
--Times Higher Education Supplement, London

"An extensive but extremely well-written graduate text covering integer programming."
--American Mathematical Monthly

Recent titles in the Series include:

Integer and Combinatorial Optimization George L. Nemhauser and Laurence A. Wolsey 1988 (0 471-82819-X) 763 pp.

Introduction to the Theory of Error-Correcting Codes Second Edition Vera Pless
For mathematicians, engineers, and computer scientists, here is an introduction to the theory of error-correcting codes, focusing on linear block codes. The book considers such codes as Hamming and Golay codes, correction of double errors, use of finite fields, cyclic codes, B.C.H. codes, weight distributions, and design of codes. In a second edition of the book, Pless offers thoroughly expanded coverage of nonbinary and cyclic codes. Some proofs have been simplified, and there are many more examples and problems. 1989 (0 471-61884-5) 224 pp.

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Customers buy this book with Ramsey Theory on the Integers (Student Mathematical Library, Vol. 24) (Student Mathematical Library, V. 24) $54.00

Ramsey Theory, 2nd Edition + Ramsey Theory on the Integers (Student Mathematical Library, Vol. 24) (Student Mathematical Library, V. 24)
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Editorial Reviews

Review

"Anyone interested in getting an introduction to Ramsey theory will find this illuminating…" (MAA Reviews, December 17, 2006)

From the Publisher

Ramsey theory has emerged as a cohesive subdiscipline of combinatorial analysis since about 1970. The present work comprises a self-contained exposition of the central results of Ramsey theory, describes recent developments in the field, and explores the influence of outside disciplines such as applications of topological dynamics and a combinatorial approach to undecidability results. New to the Second Edition is a complete treatment of Shelah's 1987 proof as well as the original proof of Van der Waerden's theorem.

Product Details

  • Hardcover: 208 pages
  • Publisher: Wiley-Interscience; 2 edition (March 2, 1990)
  • Language: English
  • ISBN-10: 0471500461
  • ISBN-13: 978-0471500469
  • Product Dimensions: 9.5 x 6.5 x 0.7 inches
  • Shipping Weight: 1 pounds (View shipping rates and policies)
  • Average Customer Review: 1.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,532,487 in Books (See Top 100 in Books)

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23 of 24 people found the following review helpful:
1.0 out of 5 stars Why do you hate us, Wiley Interscience?, June 30, 2008
This review is from: Ramsey Theory, 2nd Edition (Hardcover)
This book is pretty nice; it covers many of the central advances in modern combinatorics, which would otherwise be hard to find in a single place. It doesn't contain anything new, but it does a good job getting the content across.

However, for some inexplicable reason, Wiley Interscience seem to hate their readership, and have foisted on us a completely absurd US$ 147 price tag on a 200-page book, which, discounting reproductions of classical papers (Ramsey and Erdos-Szekeres) and bibliography, boasts 180 pages of actual content.

Honestly, what is the point of having a convenient, unified and concise reference on combinatorics, if with the same amount of cash I can buy three or four full-sized books and have about a third of a very respectable combinatorics *library*? It should set off everybody's spider-sense that this book costs almost twice as much as "Additive Combinatorics" (Tao & Vu), which is 2.5 times longer, 15 years more up-to-date, covers at least half the material in "Ramsey Theory", and actually invites you to participate in the goings-on (i.e. has exercises, and excellent ones at that).

For US$ 20 this might have been an excellent buy.
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Inside This Book (learn more)
First Sentence:
In any collection of six people either three of them mutually know each other or three of them mutually do not know each other. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
finite coloring, monochromatic arithmetic progression, monochromatic solution, monochromatic line, chromatic number, limit ordinal, disjoint collection, induced subgraph, topological dynamics, dependency graph
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Axiom of Choice, Bounded Gaps, Historical Note
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