Model Theory, Algebra, and Geometry (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2000

0521780683 / 9780521780681

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Hardcover. 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). Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. In this book, experts provide the necessary background to understanding the model theory and mathematics behind these applications. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Seller Inventory # 9780521780681

Title
Model Theory, Algebra, and Geometry (Hardcover)
Author
Anand Pillay
Publisher
Cambridge University Press, Cambridge
Publication year
2000
Condition
new
Binding
Hardcover
Language
English
ISBN 10
0521780683
ISBN 13
9780521780681

CitiRetail

Stevenage, United Kingdom

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