Ramsey Theory - Couverture rigide

Graham, Ronald L.; Rothschild, Bruce L.; Spencer, Joel H.

Couverture rigide

ISBN 10 : 0471059978 ISBN 13 : 9780471059974

Editeur : John Wiley & Sons Inc, 1980

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Book by Graham Ronald L Rothschild Bruce L Spencer Joel H

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Quatri�me de couverture

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.

Pr�sentation de l'�diteur

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 Shelah s proof, as well as the original proof of van der Waerden. The book offers a historical perspective of Ramsey s fundamental paper from 1930 and Erdos and Szekeres article from 1935, while placing the various theorems in the context of T. S. Motzkin s 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 Waerden s Theorem, the Hales–Jewett Theorem, Roth s Theorem, Rado s Theorem, Szemeredi s 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.

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