TY  - BOOK
AU  - Robert,Alain M.
TI  - Course in p-adic analysis
T2  - Graduate texts in mathematics ; 
SN  - 9781071646304
U1  - 511.386 
PY  - 2000///
CY  - New York
PB  - Springer
KW  - p-adic analysis
KW  - Differential equation
KW  - Functional equation
KW  - Calculus
N1  - Includes bibliographical references (p. [423]-424) and index
N2  - 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
UR  - https://link.springer.com/content/pdf/bfm:978-1-4757-3254-2/1
UR  - https://www.goodreads.com/book/show/6191146-a-course-in-p-adic-analysis?ref=nav_sb_ss_1_13#CommunityReviews
ER  -