Introductory Notes on Valuation Rings and Function Fields in

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The Columbia Mathematics department is located in the Mathematics building on the Morningside campus of Columbia University. He had great historical influence in Europe, India and Persia, at least if credited also with Ptolemy's influence. (Hipparchus himself was influenced by Chaldean astronomers.) Hipparchus' work implies a better approximation to π than that of Apollonius, perhaps it was π ≈ 377/120 as Ptolemy used. For instance, the consistency of Peano Arithmetic can be proved by induction up to a transfinite ordinal number (Gentzen 1938).

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Publisher: Edizioni della Normale; 2014 edition (July 1, 2014)


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