A Course in p-adic Analysis
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.
| Autor: | Robert, Alain M. |
|---|---|
| ISBN: | 9780387986692 |
| Sprache: | Englisch |
| Seitenzahl: | 438 |
| Produktart: | Gebunden |
| Verlag: | Springer US |
| Veröffentlicht: | 31.05.2000 |
| Schlagworte: | Finite Lemma Mathematica analytic function boundary element method calculus congruence construction differential equation equation |