The first of a two-volume set showcasing the current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. This volume begins with a series of expository essays and research papers around the subject matter of a Newton Institute Semester on Model Theory and Applications to Algebra and Analysis. The articles included showcase outstanding new research on topics such as model theory and conjectures around Mordell-Lang; arithmetic of differential equations, and Galois Theory of difference equations; model theory and complex analytic geometry; o-minimality; model theory and noncommutative geometry; definable groups of finite dimension; Hilbert's tenth problem; and Hrushovski constructions. With contributions from so many leaders in the field, this two-volume set will undoubtedly appeal to all mathematicians with an interest in model theory and its applications.

About the Authors

Zo� Chatzidakis is Directeur de recherches in the Centre National de la Recherche Scientifique (CNRS) at the Universit� de Paris VII.

Dugald Macpherson is a Professor in the School of Mathematics at the University of Leeds.

Anand Pillay is a Professor in the School of Mathematics at the University of Leeds and Swanlund Chair Emeritus in the Mathematics Department at the University of Illinois.

Alex Wilkie is Fielden Professor of Pure Mathematics at the University of Manchester.

"About this title" may belong to another edition of this title.

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