A Course in p-adic Analysis (Graduate Texts in Mathematics, 198, Band 198) - Hardcover

Robert, Alain M.

 
9780387986692: A Course in p-adic Analysis (Graduate Texts in Mathematics, 198, Band 198)

Inhaltsangabe

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.

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9781441931504: A Course in p-adic Analysis: 198 (Graduate Texts in Mathematics)

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ISBN 10:  1441931503 ISBN 13:  9781441931504
Verlag: Springer, 2010
Softcover