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Analyse (Mathématique) --- Analyse (Wiskunde) --- Analyse mathématique --- Analysis (Mathematics) --- Mathematical analysis --- Wiskundige analyse --- Nonstandard mathematical analysis --- Analyse mathématique non standard --- 517.1 --- #KVIV --- Introduction to analysis --- 517.1 Introduction to analysis --- Analyse mathématique non standard

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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.

p-adic analysis. --- P-adic analysis. --- Number theory. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra --- Theorie des nombres --- P-adiques

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Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.

Compact groups. --- Locally compact groups. --- Representations of groups. --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Compact groups --- Topological groups --- Groups, Compact --- Locally compact groups

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Nonstandard mathematical analysis

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