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Nonstandard methods in Ramsey theory...

Di Nasso, Mauro.

Nonstandard methods in Ramsey theory and combinatorial number theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonstandard methods in Ramsey theory and combinatorial number theoryby Mauro Di Nasso, Isaac Goldbring, Martino Lupini.
Author:	Di Nasso, Mauro.
other author:	Goldbring, Isaac.
Published:	Cham :Springer International Publishing :2019.
Description:	xvi, 206 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Ramsey theory.
Online resource:	https://doi.org/10.1007/978-3-030-17956-4
ISBN:	9783030179564$q(electronic bk.)

Nonstandard methods in Ramsey theory and combinatorial number theory
Di Nasso, Mauro.

Nonstandard methods in Ramsey theory and combinatorial number theory[electronic resource] /by Mauro Di Nasso, Isaac Goldbring, Martino Lupini. - Cham :Springer International Publishing :2019. - xvi, 206 p. :ill., digital ;24 cm. - Lecture notes in mathematics,22390075-8434 ;. - Lecture notes in mathematics ;2035..

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.

ISBN: 9783030179564$q(electronic bk.)

Standard No.: 10.1007/978-3-030-17956-4doiSubjects--Topical Terms:

190968
Ramsey theory.

LC Class. No.: QA166 / .D563 2019

Dewey Class. No.: 511.6

Nonstandard methods in Ramsey theory and combinatorial number theory
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245 1 0 $a Nonstandard methods in Ramsey theory and combinatorial number theory $h [electronic resource] / $c by Mauro Di Nasso, Isaac Goldbring, Martino Lupini.
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520 $a 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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