Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory

• Κύριοι συγγραφείς: Di Nasso, Mauro (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Goldbring, Isaac (http://id.loc.gov/vocabulary/relators/aut), Lupini, Martino (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Lecture Notes in Mathematics, 2239
• Θέματα: Combinatorics.; Mathematical logic.; Mathematical Logic and Foundations.
• Φυσική περιγραφή: XVI, 206 p. 2 illus. online resource.
• ISBN: 9783030179564
• ISSN: 0075-8434 ;
• DOI: 10.1007/978-3-030-17956-4

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.