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Nonstandard methods in Ramsey theory and combinatorial number theory
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. Thi...
Autores principales: | , , |
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Lenguaje: | eng |
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Springer
2019
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/978-3-030-17956-4 http://cds.cern.ch/record/2678315 |
_version_ | 1780962835603390464 |
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author | Di Nasso, Mauro Goldbring, Isaac Lupini, Martino |
author_facet | Di Nasso, Mauro Goldbring, Isaac Lupini, Martino |
author_sort | Di Nasso, Mauro |
collection | CERN |
description | 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. |
id | cern-2678315 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2019 |
publisher | Springer |
record_format | invenio |
spelling | cern-26783152021-04-21T18:24:02Zdoi:10.1007/978-3-030-17956-4http://cds.cern.ch/record/2678315engDi Nasso, MauroGoldbring, IsaacLupini, MartinoNonstandard methods in Ramsey theory and combinatorial number theoryMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:26783152019 |
spellingShingle | Mathematical Physics and Mathematics Di Nasso, Mauro Goldbring, Isaac Lupini, Martino Nonstandard methods in Ramsey theory and combinatorial number theory |
title | Nonstandard methods in Ramsey theory and combinatorial number theory |
title_full | Nonstandard methods in Ramsey theory and combinatorial number theory |
title_fullStr | Nonstandard methods in Ramsey theory and combinatorial number theory |
title_full_unstemmed | Nonstandard methods in Ramsey theory and combinatorial number theory |
title_short | Nonstandard methods in Ramsey theory and combinatorial number theory |
title_sort | nonstandard methods in ramsey theory and combinatorial number theory |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-3-030-17956-4 http://cds.cern.ch/record/2678315 |
work_keys_str_mv | AT dinassomauro nonstandardmethodsinramseytheoryandcombinatorialnumbertheory AT goldbringisaac nonstandardmethodsinramseytheoryandcombinatorialnumbertheory AT lupinimartino nonstandardmethodsinramseytheoryandcombinatorialnumbertheory |