Model Theory of Fields: No. 5 (Lecture Notes in Logic) - Softcover

Marker, David; Etc.; Messmer, M.; Pillay, A.

 
9783540607410: Model Theory of Fields: No. 5 (Lecture Notes in Logic)

Inhaltsangabe

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.

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Reseña del editor

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.

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Weitere beliebte Ausgaben desselben Titels

9781568812816: Model Theory of Fields: Lecture Notes in Logic 5, Second Edition

Vorgestellte Ausgabe

ISBN 10:  1568812817 ISBN 13:  9781568812816
Verlag: A K Peters, 2005
Hardcover