Model Theory, Algebra, and Geometry (Paperback)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Mathematical Sciences Research Institute Publications
Release date:	June 2010
First published:	April 2010
Editors:	Deirdre Haskell • Anand Pillay • Charles Steinhorn
Dimensions:	234 x 156 x 13mm (L x W x T)
Format:	Paperback - Trade
Pages:	236
ISBN-13:	978-0-521-14349-3
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > General
LSN:	0-521-14349-7
Barcode:	9780521143493

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