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A Course in P-Adic Analysis
Contributor(s): Robert, Alain M. (Author)

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ISBN: 1441931503     ISBN-13: 9781441931504
Publisher: Springer
OUR PRICE: $61.74  

Binding Type: Paperback - See All Available Formats & Editions
Published: November 2010
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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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