p-adic Numbers: An Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1997
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In the course of their undergraduate careers, most mathematics majors see little beyond "standard mathematics:" basic real and complex analysis, ab stract algebra, some differential geometry, etc. There are few adventures in other territories, and few opportunities to visit some of the more exotic cor ners of mathematics. The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe. Such a visit offers a glimpse of a part of mathematics which is both important and fun, and which also is something of a meeting point between algebra and analysis. Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory. This importance comes from the fact that they afford a natural and powerful language for talking about congruences between integers, and allow the use of methods borrowed from calculus and analysis for studying such problems. More recently, p-adic num bers have shown up in other areas of mathematics, and even in physics |
| Beschreibung: | 1 Online-Ressource (VI, 306p. 15 illus) |
| ISBN: | 9783642590580 9783540629115 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-642-59058-0 |
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| isbn | 9783642590580 9783540629115 |
| issn | 0172-5939 |
| language | English |
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| spelling | Gouvêa, Fernando Q. Verfasser aut p-adic Numbers An Introduction by Fernando Q. Gouvêa Second Edition Berlin, Heidelberg Springer Berlin Heidelberg 1997 1 Online-Ressource (VI, 306p. 15 illus) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 In the course of their undergraduate careers, most mathematics majors see little beyond "standard mathematics:" basic real and complex analysis, ab stract algebra, some differential geometry, etc. There are few adventures in other territories, and few opportunities to visit some of the more exotic cor ners of mathematics. The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe. Such a visit offers a glimpse of a part of mathematics which is both important and fun, and which also is something of a meeting point between algebra and analysis. Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory. This importance comes from the fact that they afford a natural and powerful language for talking about congruences between integers, and allow the use of methods borrowed from calculus and analysis for studying such problems. More recently, p-adic num bers have shown up in other areas of mathematics, and even in physics Mathematics Number theory Number Theory Mathematik p-adische Zahl (DE-588)4044292-5 gnd rswk-swf p-adische Zahl (DE-588)4044292-5 s 1\p DE-604 https://doi.org/10.1007/978-3-642-59058-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gouvêa, Fernando Q. p-adic Numbers An Introduction Mathematics Number theory Number Theory Mathematik p-adische Zahl (DE-588)4044292-5 gnd |
| subject_GND | (DE-588)4044292-5 |
| title | p-adic Numbers An Introduction |
| title_auth | p-adic Numbers An Introduction |
| title_exact_search | p-adic Numbers An Introduction |
| title_full | p-adic Numbers An Introduction by Fernando Q. Gouvêa |
| title_fullStr | p-adic Numbers An Introduction by Fernando Q. Gouvêa |
| title_full_unstemmed | p-adic Numbers An Introduction by Fernando Q. Gouvêa |
| title_short | p-adic Numbers |
| title_sort | p adic numbers an introduction |
| title_sub | An Introduction |
| topic | Mathematics Number theory Number Theory Mathematik p-adische Zahl (DE-588)4044292-5 gnd |
| topic_facet | Mathematics Number theory Number Theory Mathematik p-adische Zahl |
| url | https://doi.org/10.1007/978-3-642-59058-0 |
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