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Fundamentals of Ramsey Theory by Aaron Robertson (Colgate University) at Abbey's Bookshop,
Fundamentals of Ramsey Theory
— —
Aaron Robertson (Colgate University)

Fundamentals of Ramsey Theory

Aaron Robertson (Colgate University)

$120

Paperback

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English
Chapman & Hall/CRC
26 August 2024
Discrete mathematics; Combinatorics & graph theory
Series: Discrete Mathematics and Its Applications
Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the main results in Ramsey theory along with results that have not appeared in a book before.

The presentation is comprehensive and reader friendly. The book covers integer, graph, and Euclidean Ramsey theory with many proofs being combinatorial in nature. The author motivates topics and discussion, rather than just a list of theorems and proofs. In order to engage the reader, each chapter has a section of exercises.

This up-to-date book introduces the field of Ramsey theory from several different viewpoints so that the reader can decide which flavor of Ramsey theory best suits them.

Additionally, the book offers:

A chapter providing different approaches to Ramsey theory, e.g., using topological dynamics, ergodic systems, and algebra in the Stone-Čech compactification of the integers.

A chapter on the probabilistic method since it is quite central to Ramsey-type numbers.

A unique chapter presenting some applications of Ramsey theory.

Exercises in every chapter

The intended audience consists of students and mathematicians desiring to learn about Ramsey theory. An undergraduate degree in mathematics (or its equivalent for advanced undergraduates) and a combinatorics course is assumed.

TABLE OF CONENTS

Preface

List of Figures

List of Tables

Symbols

1. Introduction

2. Integer Ramsey Theory

3. Graph Ramsey Theory

4. Euclidean Ramsey Theory

5. Other Approaches to Ramsey Theory

6. The Probabilistic Method

7. Applications

Bibliography

Index

Biography

Aaron Robertson received his Ph.D. in mathematics from Temple University under the guidance of his advisor Doron Zeilberger. Upon finishing his Ph.D. he started at Colgate University in upstate New York where he is currently Professor of Mathematics. He also serves as Associate Managing editor of the journal Integers. After a brief detour into the world of permutation patterns, he has focused most of his research on Ramsey theory.
By:  
Imprint:   Chapman & Hall/CRC
Country of Publication:   United Kingdom
Dimensions:   Height: 234mm,  Width: 156mm, 
Weight:   470g
ISBN:   9781032018027
ISBN 10:   103201802X
Series:   Discrete Mathematics and Its Applications
Pages:   241
Publication Date:  
Audience:   General/trade ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Active

Aaron Robertson received his Ph.D. in mathematics from Temple University under the guidance of his advisor Doron Zeilberger. Upon finishing his Ph.D. he started at Colgate University in upstate New York where he is currently Professor of Mathematics. He also serves as Associate Managing editor of the journal Integers. After a brief detour into the world of permutation patterns, he has focused most of his research on Ramsey theory.

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