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.

• 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.

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