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Specificaties
- Objectstaat
- PublishedOn
- 2010-02-19
- Title
- A Course in P-Adic Analysis
- ISBN
- 9781441931504
- Publication Year
- 2010
- Series
- Graduate Texts in Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Publication Name
- Course in P-Adic Analysis
- Item Length
- 9.3in
- Publisher
- Springer New York
- Item Width
- 6.1in
- Item Weight
- 24.7 Oz
- Number of Pages
- Xvi, 438 Pages
Over dit product
Product Information
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.
Product Identifiers
Publisher
Springer New York
ISBN-10
1441931503
ISBN-13
9781441931504
eBay Product ID (ePID)
108245037
Product Key Features
Publication Name
Course in P-Adic Analysis
Format
Trade Paperback
Language
English
Publication Year
2010
Series
Graduate Texts in Mathematics Ser.
Type
Textbook
Number of Pages
Xvi, 438 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
24.7 Oz
Additional Product Features
Series Volume Number
198
Number of Volumes
1 Vol.
Lc Classification Number
Qa241-247.5
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, "This well-written book, complete with all proofs and a wealth of exercises, is perfectly suited as a text book for introductory courses." (Wim Schikhof, zbMATH 0947.11035, 2022) 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, 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 Content
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.
Copyright Date
2000
Topic
Algebra / Abstract, Number Theory
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Mathematics
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