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Kurt Hensel (18611941) discovered the padic numbers around the turn of the century. These exotic numbers (or so they appeared at first) are now wellestablished in the mathematical world and used more and more by physicists as well. This book offers a selfcontained presentation of basic padic analysis. The author is especially interested in the analytical topics in this field. Some of the features which are not treated in other introductory padic analysis texts are topological models of padic spaces inside Euclidean space, a construction of spherically complete fields, a padic 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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