Model Theory with Applications to Algebra and Analysis: Volume 1

Model Theory with Applications to Algebra and Analysis: Volume 1 book cover

Model Theory with Applications to Algebra and Analysis: Volume 1

Author(s): Zoé Chatzidakis (Editor), Dugald Macpherson (Editor), Anand Pillay (Editor), Alex Wilkie (Editor)

  • Publisher: Cambridge University Press
  • Publication Date: June 9, 2008
  • Edition: 1st
  • Language: English
  • Print length: 352 pages
  • ISBN-10: 0521694841
  • ISBN-13: 9780521694841

Book Description

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.

Editorial Reviews

Book Description

Account of current research in model theory and its connections with algebra and analysis; contributions from leaders in the field.

About the Author

Zoé Chatzidakis is Directeur de recherches in the Centre National de la Recherche Scientifique (CNRS) at the Université 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.

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