| 书目名称 | Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory |
| 编辑 | Mauro Di Nasso,Isaac Goldbring,Martino Lupini |
| 视频video | |
| 概述 | Presents the first introduction to nonstandard methods geared towards combinatorics.Includes new nonstandard proofs of classical results in Ramsey theory.Provides a self-contained introduction to the |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2019 |
| 关键词 | Combinatorial number theory; Nonstandard analysis; Partition regular; Ramsey theory; Ultrafilter; combina |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-17956-4 |
| isbn_softcover | 978-3-030-17955-7 |
| isbn_ebook | 978-3-030-17956-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 20:10:01
