Science/Engineering Profinite Groups, Arithmetic, and Geometry. (AM-67) (Annals of Mathematics Studies) (0691080178)

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Profinite Groups, Arithmetic, and Geometry. (AM-67) (Annals of Mathematics Studies): Stephen S. Shatz

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This short volume reproduces in its first five chapters the essential content of a one semester course I gave at the University of Pennsylvania in the Spring of 1968) The last chapter covers material I had hoped to include, but could not for lack of time. My aim in giving such a course was to give students a body of material upon which some of the modern research in Diophantine geometry and higher arithmetic is based and to do this in a way which emphasized the many interesting roads out of these elementary foundations$ I wanted to enable them to start reading the literature in those areas of mathematics I personally find very interesting. The enthusiastic reception of my able class convinced me that this material was deserving of a larger audience, and I resolved to write up the notes for the course.

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