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.
| ISBN: | 9780387986692 |
| Publication date: | 31st May 2000 |
| Author: | Alain Robert |
| Publisher: | Springer an imprint of Springer New York |
| Format: | Hardback |
| Pagination: | 437 pages |
| Series: | Graduate Texts in Mathematics |
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.
Hardback. Not Available.
A Course in P-Adic Analysis was written by Alain Robert and published by Springer an imprint of Springer New York
A Course in P-Adic Analysis has 437 pages
Yes it is part of Graduate Texts in Mathematics series