ENGLISH

A course in p-adic analysis

By Alain M. Robert

Book information

Publisher
Springer
Year
2000
ISBN
0387986693, 9780387986692
Open Library ID
OL7449754M
Language
english
Format
DJVU
Filesize
4 MB (4414024 bytes)
Series
Graduate Texts in Mathematics
Edition
1
Pages
454\454
Library
Kolxo3
DPI
600
Scanned
yes
Time added
2010-07-29 05:14:56

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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