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Nonstandard methods in Ramsey theory...

Lupini, Martino.

Nonstandard methods in Ramsey theory and combinatorial number theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Nonstandard methods in Ramsey theory and combinatorial number theory/ by 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

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 ;1943..

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

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

672634
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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100 1 $a Di Nasso, Mauro. $3 1227428
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.
260 $a Cham : $c 2019. $b Springer International Publishing : $b Imprint: Springer,
300 $a xvi, 206 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2239
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.
650 0 $a Ramsey theory. $3 672634
650 0 $a Combinatorial number theory. $3 1227430
650 0 $a Number theory. $3 527883
650 1 4 $a Combinatorics. $3 669353
650 2 4 $a Mathematical Logic and Foundations. $3 669393
700 1 $a Goldbring, Isaac. $3 1227429
700 1 $a Lupini, Martino. $3 1069956
710 2 $a SpringerLink (Online service) $3 593884
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830 0 $a Lecture notes in mathematics ; $v 1943. $3 882220
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950 $a Mathematics and Statistics (Springer-11649)

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