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.
1101006853
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.
69.99
In Stock
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A Course in p-adic Analysis
438
A Course in p-adic Analysis
438Paperback(Softcover reprint of hardcover 1st ed. 2000)
$69.99
69.99
In Stock
Product Details
| ISBN-13: | 9781441931504 |
|---|---|
| Publisher: | Springer New York |
| Publication date: | 11/19/2010 |
| Series: | Graduate Texts in Mathematics , #198 |
| Edition description: | Softcover reprint of hardcover 1st ed. 2000 |
| Pages: | 438 |
| Product dimensions: | 6.10(w) x 9.25(h) x 0.04(d) |
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