Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fifth publication in the Lecture Notes in Logic series, the authors give an insightful introduction to the fascinating subject of the model theory of fields, concentrating on its connections to stability theory. In the first two chapters David Marker gives an overview of the model theory of algebraically closed, real closed and differential fields. In the third chapter Anand Pillay gives a proof that there are 2 non-isomorphic countable differential closed fields. Finally, Margit Messmer gives a survey of the model theory of separably closed fields of characteristic p > 0.
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This book introduces the active area of the model theory of fields, concentrating on connections to stability theory.
Preface;
1. Introduction to the model theory of fields David Marker;
2. Model theory of differential fields David Marker;
3. Differential algebraic groups and the number of countable differentially closed fields Anand Pillay;
4. Some model theory of separably closed fields Margit Messmer; Index.
David Marker is a professor at the University of Illinois, Chicago. His research includes model theory and its applications to real algebraic and analytic geometry, exponentiation, and differential algebra. Margit Messmer is a professor at the University of Illinois, Urbana-Champaign. Her research interests include mathematical logic and model theory. Anand Pillay is a professor at the University of Illinois, Urbana-Champaign. His research interests include model theory and applications to algebra, geometry and number theory.
