A Course in P Adic Analysis Kurt Hensel 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 and by
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 and 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 that 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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