Cover of Model Theory, Algebra, and Geometry by Haskell, Deidre, Pillay, Anand, Steinhorn, Charles, ISBN 9780521780681
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Model Theory, Algebra, and Geometry

MODEL THEORY ALGEBRA & GEOMETR

Contributor(s): Author , Author , Author Format: Hardback

Hardback ยท ISBN 9780521780681

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Key Specifications

ISBN 9780521780681
Subtitle MODEL THEORY ALGEBRA & GEOMETR
Publisher Cambridge University Press
Publication date September 2000
Language English
MRP ยฃ121.00 GBP
Page count 236
Item weight 112 g

Model theory is a branch of mathematical logic that has found applications in several areas of algebra and geometry. It provides a unifying framework for the understanding of old results and more recently has led to significant new results, such as a proof of the Mordell-Lang conjecture for function fields in positive characteristic. Perhaps surprisingly, it is sometimes the most abstract aspects of model theory that are relevant to those applications. This book gives the necessary background for understanding both the model theory and the mathematics behind the applications. Aimed at graduate students and researchers, it contains introductory surveys by leading experts covering the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations), and introducing and discussing the diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) to which the model theory is applied. The book begins with an introduction to model theory by David Marker. It then broadens into three components: pure model theory (Bradd Hart, Dugald Macpherson), geometry(Barry Mazur, Ed Bierstone and Pierre Milman, Jan Denef), and the model theory of fields (Marker, Lou van den Dries, Zoe Chatzidakis).