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Sinopsis
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.
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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
Reseña del editor
Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of basic p-adic analysis with a focus on analytic topics. It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel's functional equation lemma, and a treatment of analytic elements.
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A Course in p-adic Analysis : (Reihe: GTM - Graduate Texts in Mathematics, Band 198)
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Springer Verlag, New York, 2010
ISBN 10: 1441931503
ISBN 13: 9781441931504
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A Course in p-adic Analysis
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A Course in p-adic Analysis (Graduate Texts in Mathematics)
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A Course in p-adic Analysis
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ISBN 10: 1441931503
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of basic p-adic analysis with a focus on analytic topics. It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel's functional equation lemma, and a treatment of analytic elements. 460 pp. Englisch. Nº de ref. del artículo: 9781441931504
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A Course in p-adic Analysis
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Springer New York, 2010
ISBN 10: 1441931503
ISBN 13: 9781441931504
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 sel. Nº de ref. del artículo: 4173607
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A Course in p-adic Analysis (Graduate Texts in Mathematics)
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A Course in P-Adic Analysis
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A Course in P-Adic Analysis
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A Course in p-adic Analysis
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Springer-Verlag New York Inc., 2010
ISBN 10: 1441931503
ISBN 13: 9781441931504
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A Course in p-adic Analysis
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ISBN 10: 1441931503
ISBN 13: 9781441931504
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9781441931504
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