Nonstandard methods in Ramsey theory and combinatorial number theory /

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Bibliographic Details
Author / Creator:Di Nasso, Mauro, 1963- author.
Imprint:Cham, Switzerland : Springer, [2019]
Description:1 online resource (xvi, 206 pages) : illustrations
Language:English
Series:Lecture notes in mathematics ; 2239
Lecture notes in mathematics (Springer-Verlag) ; 2239.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11895878
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Other authors / contributors:Goldbring, Isaac, author.
Lupini, Martino, author.
ISBN:9783030179564
3030179567
9783030179557
3030179559
Notes:Includes bibliographical references and index.
Online resource; title from digital title page (viewed on June 25, 2019).
Summary: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.
Other form:Print version: Di Nasso, Mauro, 1963- Nonstandard methods in Ramsey theory and combinatorial number theory. Cham, Switzerland : Springer, [2019] 3030179559 9783030179557
Standard no.:10.1007/978-3-030-17