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Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory

Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory

Paperback

Series: Lecture Notes in Mathematics, Book 2239

FictionGeneral Mathematics

ISBN10: 3030179559
ISBN13: 9783030179557
Publisher: Springer
Published: May 24 2019
Pages: 206
Weight: 0.70
Height: 0.47 Width: 6.14 Depth: 9.21
Language: English

The goal of this monograph is to give an accessible introduction to nonstandard methods and their applications, with an emphasis on combinatorics and Ramsey theory. It includes both new nonstandard proofs of classical results and recent developments initially obtained in the nonstandard setting. This makes it the first combinatorics-focused account of nonstandard methods to be aimed at a general (graduate-level) mathematical audience. This book will provide a natural starting point for researchers interested in approaching the rapidly growing literature on combinatorial results obtained via nonstandard methods. The primary audience consists of graduate students and specialists in logic and combinatorics who wish to pursue research at the interface between these areas.

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General Mathematics