TY - BOOK AU - Di Nasso,Mauro AU - Goldbring,Isaac AU - Lupini,Martino ED - SpringerLink (Online service) TI - Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory T2 - Lecture Notes in Mathematics, SN - 9783030179564 AV - QA164-167.2 U1 - 511.6 23 PY - 2019/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Combinatorics KW - Mathematical logic KW - Mathematical Logic and Foundations N2 - 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 UR - https://doi.org/10.1007/978-3-030-17956-4 ER -