Model Theory, Algebra, and Geometry

Name: Model Theory, Algebra, and Geometry
SKU: 6117892
Price: 128.99 AUD
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Paperback / softback

Series:

Mathematical Sciences Research Institute Publications

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Description

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.

Release date Australia

June 10th, 2010

Audience

Professional & Vocational

Contributors

Edited by Anand Pillay
Edited by Charles Steinhorn
Edited by Deirdre Haskell

Illustrations

Worked examples or Exercises

Pages

236

Series

Mathematical Sciences Research Institute Publications

Dimensions

156x234x13

ISBN-13

9780521143493

Product ID

6117892

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Model Theory, Algebra, and Geometry

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