ENGLISH

Model Theory of Fields

By David Marker , Anand Pillay , Margit Messmer

Book information

Publisher
Springer
Year
1996
ISBN
9783540607410, 3540607412
Language
english
Format
PDF
Filesize
13 MB (13949658 bytes)
Series
Lecture Notes in Logic
Edition
1
Pages
168\168
Topic
Mathematics Logic
Time added
2010-10-13 10:14:08

Description

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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