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

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Description

The first of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. Each volume contains 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 convey 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 book will undoubtedly appeal to all mathematicians with an interest in model theory and its applications, from graduate students to senior researchers and from beginners to experts.

Author Biography:

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.
Release date NZ
May 22nd, 2008
Audience
  • Professional & Vocational
Contributors
  • Edited by Alex Wilkie
  • Edited by Anand Pillay
  • Edited by Dugald Macpherson
  • Edited by Zoe Chatzidakis
Illustrations
Worked examples or Exercises; 6 Line drawings, unspecified
Pages
352
Dimensions
152x229x18
ISBN-13
9780521694841
Product ID
2523100

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