Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory
Di Nasso, Mauro.
Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory [electronic resource] / by Mauro Di Nasso, Isaac Goldbring, Martino Lupini. - 1st ed. 2019. - XVI, 206 p. 2 illus. online resource. - Lecture Notes in Mathematics, 2239 0075-8434 ; . - Lecture Notes in Mathematics, 2239 .
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.
9783030179564
10.1007/978-3-030-17956-4 doi
Indica Technologies & Services Pvt. Ltd., 7/31, Ansari Road, Daryaganj, New Delhi-110002
Combinatorics.
Mathematical logic.
Combinatorics.
Mathematical Logic and Foundations.
QA164-167.2
511.6
Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory [electronic resource] / by Mauro Di Nasso, Isaac Goldbring, Martino Lupini. - 1st ed. 2019. - XVI, 206 p. 2 illus. online resource. - Lecture Notes in Mathematics, 2239 0075-8434 ; . - Lecture Notes in Mathematics, 2239 .
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.
9783030179564
10.1007/978-3-030-17956-4 doi
Indica Technologies & Services Pvt. Ltd., 7/31, Ansari Road, Daryaganj, New Delhi-110002
Combinatorics.
Mathematical logic.
Combinatorics.
Mathematical Logic and Foundations.
QA164-167.2
511.6