Course in p-adic Analysis
Häftad, Engelska, 2010
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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.
Produktinformation
- Utgivningsdatum2010-11-19
- Mått155 x 235 x 25 mm
- Vikt692 g
- FormatHäftad
- SpråkEngelska
- SerieGraduate Texts in Mathematics
- Antal sidor438
- FörlagSpringer-Verlag New York Inc.
- ISBN9781441931504