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Cambridge Studies in Advanced Mathematics #4: Ultrametric Calculus: An Introduction to P-Adic Analysis

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Cambridge Studies in Advanced Mathematics #4: Ultrametric Calculus: An Introduction to P-Adic Analysis Cover

 

Synopses & Reviews

Publisher Comments:

This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes acquainted with this equally 'real' analysis and appreciates its relevance. The reader's understanding is enhanced and deepened by the large number of exercises included throughout; these both test the reader's grasp and extend the text in interesting directions. As a consequence, this book will become a standard reference for professionals (especially in p-adic analysis, number theory and algebraic geometry) and will be welcomed as a textbook for advanced students of mathematics familiar with algebra and analysis.

Synopsis:

This is an introduction to p-adic analysis, displaying the variety of applications of the subject.

Table of Contents

Frontispiece; Preface; Part I. Valuations: 1. Valuations; 2. Ultrametrics; Part II. Calculus: 3. Elementary calculus; 4. Interpolation; 5. Analytic functions; Part III. Functions on Zp: 6. Mahler's base and p-adic integration; 7. The p-adic gamma and zeta functions; 8. van der Put's base and antiderivation; Part IV. More General Theory of Functions: 9. Continuity and differentiability; 10. Cn -theory; 11. Monotone functions; Appendixes; Further reading; Notation; Index.

Product Details

ISBN:
9780521032872
Author:
Schikhof, W. H.
Publisher:
Cambridge University Press
Editor:
Fulton, W.
Editor:
Bollobas, Bela
Editor:
Bollobas, B.
Location:
Cambridge
Subject:
Differential Equations
Subject:
Mathematics-Differential Equations
Subject:
Algebra - Abstract
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
4
Publication Date:
20061231
Binding:
TRADE PAPER
Language:
English
Pages:
320
Dimensions:
5.98x9.01x.71 in. 1.04 lbs.

Related Subjects

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Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Cambridge Studies in Advanced Mathematics #4: Ultrametric Calculus: An Introduction to P-Adic Analysis New Trade Paper
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Product details 320 pages Cambridge University Press - English 9780521032872 Reviews:
"Synopsis" by , This is an introduction to p-adic analysis, displaying the variety of applications of the subject.
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