A Course in p-adic Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2000
|
| Schriftenreihe: | Graduate Texts in Mathematics
198 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at first) are now well-established in the mathematical world and used more and more by physicists as well. This book offers a self-contained presentation of basic p-adic analysis. The author is especially interested in the analytical topics in this field. Some of the features which are not treated in other introductory p-adic analysis texts are topological models of p-adic spaces inside Euclidean space, a construction of spherically complete fields, a p-adic mean value theorem and some consequences, a special case of Hazewinkel's functional equation lemma, a remainder formula for the Mahler expansion, and most importantly a treatment of analytic elements |
| Beschreibung: | 1 Online-Ressource (XVI, 438 p) |
| ISBN: | 9781475732542 9781441931504 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4757-3254-2 |
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Datensatz im Suchindex
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475732542 9781441931504 |
| issn | 0072-5285 |
| language | English |
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| series2 | Graduate Texts in Mathematics |
| spelling | Robert, Alain M. Verfasser aut A Course in p-adic Analysis by Alain M. Robert New York, NY Springer New York 2000 1 Online-Ressource (XVI, 438 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 198 0072-5285 Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at first) are now well-established in the mathematical world and used more and more by physicists as well. This book offers a self-contained presentation of basic p-adic analysis. The author is especially interested in the analytical topics in this field. Some of the features which are not treated in other introductory p-adic analysis texts are topological models of p-adic spaces inside Euclidean space, a construction of spherically complete fields, a p-adic mean value theorem and some consequences, a special case of Hazewinkel's functional equation lemma, a remainder formula for the Mahler expansion, and most importantly a treatment of analytic elements Mathematics Number theory Number Theory Mathematik p-adische Analysis (DE-588)4252360-6 gnd rswk-swf p-adische Analysis (DE-588)4252360-6 s 1\p DE-604 https://doi.org/10.1007/978-1-4757-3254-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Robert, Alain M. A Course in p-adic Analysis Mathematics Number theory Number Theory Mathematik p-adische Analysis (DE-588)4252360-6 gnd |
| subject_GND | (DE-588)4252360-6 |
| title | A Course in p-adic Analysis |
| title_auth | A Course in p-adic Analysis |
| title_exact_search | A Course in p-adic Analysis |
| title_full | A Course in p-adic Analysis by Alain M. Robert |
| title_fullStr | A Course in p-adic Analysis by Alain M. Robert |
| title_full_unstemmed | A Course in p-adic Analysis by Alain M. Robert |
| title_short | A Course in p-adic Analysis |
| title_sort | a course in p adic analysis |
| topic | Mathematics Number theory Number Theory Mathematik p-adische Analysis (DE-588)4252360-6 gnd |
| topic_facet | Mathematics Number theory Number Theory Mathematik p-adische Analysis |
| url | https://doi.org/10.1007/978-1-4757-3254-2 |
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