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.
| Autorius: | Alain M. Robert |
| Serija: | Graduate Texts in Mathematics |
| Leidėjas: | Springer US |
| Išleidimo metai: | 2000 |
| Knygos puslapių skaičius: | 460 |
| ISBN-10: | 0387986693 |
| ISBN-13: | 9780387986692 |
| Formatas: | Knyga kietu viršeliu |
| Kalba: | Anglų |
| Žanras: | Number theory |
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