1.

Record Nr.

UNINA9910338257603321

Autore

Di Nasso Mauro

Titolo

Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory / / by Mauro Di Nasso, Isaac Goldbring, Martino Lupini

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-17956-7

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (XVI, 206 p. 2 illus.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 2239

Disciplina

511.66

511.6

Soggetti

Combinatorics

Mathematical logic

Mathematical Logic and Foundations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Sommario/riassunto

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.