A Course in p-adic Analysis:
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Bibliographic Details
Main Author: Robert, Alain M. (Author)
Format: Electronic eBook
Language:English
Published: New York, NY Springer New York 2000
Series:Graduate Texts in Mathematics 198
Subjects:
Online Access:Volltext
Item 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
Physical Description:1 Online-Ressource (XVI, 438 p)
ISBN:9781475732542
9781441931504
ISSN:0072-5285
DOI:10.1007/978-1-4757-3254-2

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