Ramsey Theory
Ramsey Theory by Ronald L. Graham, published by Wiley on August 17, 2015, is a comprehensive exploration of the key concepts, proofs, and theorems in Ramsey theory. This second edition spans 212 pages and is presented in English, offering readers a thorough understanding of significant contributions to the field, including Shelah’s proof and van der Waerden’s original proof. The book also provides a historical context, tracing back to Ramsey’s foundational paper from 1930 and the work of Erdős and Szekeres from 1935.
In this edition, readers will find an in-depth examination of various theorems and their implications, including Ramsey and density theorems, as well as extensions of notable results such as van der Waerden’s Theorem and Szemerédi’s Theorem. The text delves into Graph Ramsey Theory and Euclidean Ramsey Theory, while also connecting Ramsey Theory to broader topics in discrete mathematics. With worked proofs and applications, this book serves as a valuable reference for professionals in mathematics, particularly those focused on discrete mathematics, combinatorics, and optimization.
Official synopsis Publisher
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.
Publisher
Topics
FAQ
What is “Ramsey Theory” about?
Who is the author of “Ramsey Theory”?
When was “Ramsey Theory” published?
What is the ISBN for “Ramsey Theory”?
What are the book details (language, pages, edition)?
