A Course in p-adic Analysis: 198 - Brossura

Robert, Alain M. M.

 
9781441931504: A Course in p-adic Analysis: 198
Brossura
ISBN 10: 1441931503 ISBN 13: 9781441931504
Casa editrice: Springer, 2010

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione

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

Contenuti

1 p-adic Numbers.- 2 Finite Extensions of the Field of p-adic Numbers.- 3 Construction of Universal p-adic Fields.- 4 Continuous Functions on Zp.- 5 Differentiation.- 6 Analytic Functions and Elements.- 7 Special Functions, Congruences.- Specific References for the Text.- Tables.- Basic Principles of Ultrametric Analysis.- Conventions, Notation, Terminology.

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Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
1441931503
ISBN 13 
9781441931504
Rilegatura
Copertina flessibile
Numero di pagine
460
Contatto del produttore
non disponibile
Persona responsabile
ProductSafety@springernature.com
ProductSafety@springernature.com

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Altre edizioni note dello stesso titolo

9780387986692: A Course in P-Adic Analysis: 198

Edizione in evidenza

ISBN 10:  0387986693 ISBN 13:  9780387986692
Casa editrice: Springer Nature, 2000
Rilegato