Model Theory, Algebra, and Geometry pdf epub mobi txt 电子书下载 2024

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Haskell, Deidre; Pillay, Anand; Steinhorn, Charles

2013-5

256

$ 105.09

9780521780681

图书标签: nemlophics MathLogic MathGeometry MathAbstractAlgebra Math

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发表于2024-09-20

Model Theory, Algebra, and Geometry epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Model Theory, Algebra, and Geometry pdf epub mobi txt 电子书下载 2024

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Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications range from a proof of the rationality of certain Poincare series associated to varieties over p-adic fields, to a proof of the Mordell-Lang conjecture for function fields in positive characteristic. In some cases (such as the latter) it is the most abstract aspects of model theory which are relevant. This book, originally published in 2000, arising from a series of introductory lectures for graduate students, provides the necessary background to understanding both the model theory and the mathematics behind these applications. The book is unique in that the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations) is covered and diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) are introduced and discussed, all by leading experts in their fields.

Model Theory, Algebra, and Geometry 下载 mobi epub pdf txt 电子书