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A Course in p-adic Analysis (Graduate Texts in Mathematics (198)) by Alain M. Robert is a book available to read on EtoBox.

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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. Erscheinungsdatum: 31.05.2000

Author

Alain M. Robert

Publisher

Springer US

Published

2013

Language

EN

ISBN

9780387986692

Subjects

Mathematics, Stem