Algorithms and Combinatorics

Mathematics of Ramsey Theory

Editors: Nesetril, Jaroslav, Rödl, Vojtech (Eds.)

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About this book

One of the important areas of contemporary combinatorics is Ramsey theory. Ramsey theory is basically the study of structure preserved under partitions. The general philosophy is reflected by its interdisciplinary character. The ideas of Ramsey theory are shared by logicians, set theorists and combinatorists, and have been successfully applied in other branches of mathematics. The whole subject is quickly developing and has some new and unexpected applications in areas as remote as functional analysis and theoretical computer science. This book is a homogeneous collection of research and survey articles by leading specialists. It surveys recent activity in this diverse subject and brings the reader up to the boundary of present knowledge. It covers virtually all main approaches to the subject and suggests various problems for individual research.

Table of contents (4 chapter)

  • Introduction Ramsey Theory Old and New

    Jaroslav Nešetřil, Vojtěch Rödl

    Pages 1-9

    Buy Chapter $29.95
  • Ordinal Types in Ramsey Theory and Well-Partial-Ordering Theory

    Igor Kříž, Robin Thomas

    Pages 57-95

    Buy Chapter $29.95
  • Shelah’s Proof of the Hales-Jewett Theorem

    Alon Nilli

    Pages 150-151

    Buy Chapter $29.95
  • Ergodic Theory and Configurations in Sets of Positive Density

    Hillel Fürstenberg, Yitzchak Katznelson, Benjamin Weiss

    Pages 184-198

    Buy Chapter $29.95
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Buy this book

eBook $99.00 net
( price for USA )
  • ISBN 978-3-642-72905-8
  • digitally watermarked, no DRM
  • included format: PDF
  • eBooks can be used on all Reading Devices
Softcover $129.00 net
( price for USA )
  • ISBN 978-3-642-72907-2
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days

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Bibliographic Information

Bibliographic Information
Book Title
Mathematics of Ramsey Theory
Series Title
Algorithms and Combinatorics
Series Volume
5
Copyright
1990
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-72905-8
DOI
10.1007/978-3-642-72905-8
Softcover ISBN
978-3-642-72907-2
Series ISSN
0937-5511
Edition Number
1
Topics