Authors:
- Presents the first introduction to nonstandard methods geared towards combinatorics
- Includes new nonstandard proofs of classical results in Ramsey theory
- Provides a self-contained introduction to the literature of nonstandard methods in combinatorics
- Numerous exercises help readers to familiarize themselves with the material
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2239)
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Table of contents (17 chapters)
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Front Matter
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Preliminaries
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Front Matter
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Ramsey Theory
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Front Matter
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Other Topics
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Front Matter
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About this book
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.
Authors and Affiliations
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Department of Mathematics, Universita di Pisa, Pisa, Italy
Mauro Di Nasso
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Department of Mathematics, University of California, Irvine, Irvine, USA
Isaac Goldbring
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School of Mathematics and Statistics, Victoria University of Wellington, Wellington, New Zealand
Martino Lupini
Bibliographic Information
Book Title: Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory
Authors: Mauro Di Nasso, Isaac Goldbring, Martino Lupini
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-030-17956-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-17955-7Published: 24 May 2019
eBook ISBN: 978-3-030-17956-4Published: 23 May 2019
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVI, 206
Number of Illustrations: 2 b/w illustrations