Lecture Notes in Mathematics

Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory

Authors: Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

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  • 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
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eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-030-17956-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
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  • ISBN 978-3-030-17955-7
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  • Usually dispatched within 3 to 5 business days.
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.


Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-030-17956-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
  • ISBN 978-3-030-17955-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2239
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-17956-4
DOI
10.1007/978-3-030-17956-4
Softcover ISBN
978-3-030-17955-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 206
Number of Illustrations
2 b/w illustrations
Topics