A Course in P-Adic Analysis Contributor(s): Robert, Alain M. (Author) |
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ISBN: 1441931503 ISBN-13: 9781441931504 Publisher: Springer
Binding Type: Paperback - See All Available Formats & Editions Published: November 2010 Click for more in this series: Graduate Texts in Mathematics |
Additional Information |
BISAC Categories: - Mathematics | Number Theory |
Dewey: 512.7 |
Series: Graduate Texts in Mathematics |
Physical Information: 0.93" H x 6.14" W x 9.21" L (1.41 lbs) 438 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |
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