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AuthorRobert, Alain M. author
TitleA Course in p-adic Analysis [electronic resource] / by Alain M. Robert
ImprintNew York, NY : Springer New York : Imprint: Springer, 2000
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Descript XVI, 438 p. online resource


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


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

Mathematics Number theory Mathematics Number Theory

Science LibraryQA241 C861r 2000CHECK SHELVES

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