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Item Details
Title: MODEL THEORY OF FIELDS
By: David Marker, etc., M. Messmer
Format: Paperback

List price: £22.50


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ISBN 10: 3540607412
ISBN 13: 9783540607410
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Series: Lecture Notes in Logic No. 5
Pages: 163
Description: This work gives an introduction to the model thoery of fields. As well as the basic model theory of the fields of real and complex numbers, it focuses on differential fields and separably closed fields, the theories used in Hrushovski's proof of the Mordell-Lang conjecture for function fields.
Synopsis: The model theory of fields is an area for important interactions between mathematical, logical and classical mathematics. Recently, there have been major applications of model theoretic ideas to real analytic geometry and diophantine geometry. This book provides an introduction to this fascinating subject. In addition to introducing the basic model theory of the fields of real and complex numbers, we concentrate on differential fields and separably closed fields, the two theories used in Hrushovski's proof of the Mordell-Lang conjecture for function fields. This book is of interest to graduate students in either logic or in related areas of mathematics such as differential algebra or real algebraic geometry.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Non-returnable
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