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Graduate Texts in Mathematics

A Course in p-adic Analysis

Authors: Robert, Alain M.

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eBook $64.99
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  • ISBN 978-1-4757-3254-2
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Hardcover $84.95
price for USA
  • ISBN 978-0-387-98669-2
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  • Usually dispatched within 3 to 5 business days.
Softcover $84.95
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  • ISBN 978-1-4419-3150-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

Reviews

From the reviews:

MATHEMATICAL REVIEWS

"The text ends with a large number of exercises. The writing is extremely clear and very meticulous. The bibliography, which does not attempt to be comprehensive, is adequate. I recommend A. Robert’s book without reservation to anyone who wants to have a reference text on one-variable p-adic analysis that is clear, complete and pleasant to read."

MATHSCINET

"Robert's book is aimed at an intermediate level between the very specialized monographs and the elementary texts. It has no equal in the marketplace, because it covers practically all of p-adic analysis of one variable (except the rationality of the zeta function of an algebraic variety over a finite field and the theory of p-adic differential equations) and contains numerous results that were accessible only in articles or even in preprints. ...

I recommend A. Robert's book without reservation to anyone who wants to have a reference text on one-variable p-adic analysis that is clear, complete and pleasant to read."
D. Barsky in MathSciNet, August 2001


Table of contents (7 chapters)

Buy this book

eBook $64.99
price for USA (gross)
  • ISBN 978-1-4757-3254-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.95
price for USA
  • ISBN 978-0-387-98669-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.95
price for USA
  • ISBN 978-1-4419-3150-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Course in p-adic Analysis
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
198
Copyright
2000
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-3254-2
DOI
10.1007/978-1-4757-3254-2
Hardcover ISBN
978-0-387-98669-2
Softcover ISBN
978-1-4419-3150-4
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XVI, 438
Topics