Click Here to Download: https://ouo.io/jeIaYl Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory By: Mauro Di Nasso; Isaac Goldbring; Martino Lupini Publisher: Springer Print ISBN: 9783030179557, 3030179559 eText ISBN: 9783030179564, 3030179567 Copyright year: 2019 Format: EPUB Available from $ 49.99 USD SKU 9783030179564 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.
