Model Theory with Applications to Algebra and Analysis: Volume 1 Contributor(s): Chatzidakis, Zoé (Editor), MacPherson, Dugald (Editor), Pillay, Anand (Editor) |
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ISBN: 0511735227 ISBN-13: 9780511735226 Publisher: Cambridge University Press OUR PRICE: $140.25 Product Type: Open Ebook - Other Formats Published: August 2010 |
Additional Information |
BISAC Categories: - Mathematics | Logic |
Dewey: 511.34 |
Series: London Mathematical Society Lecture Note |
Descriptions, Reviews, Etc. |
Publisher 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. |
Contributor Bio(s): Chatzidakis, Zoe: - Zoe Chatzidakis is Directeur de recherches in the Centre National de la Recherche Scientifique (CNRS) at the Universite de Paris VII.MacPherson, Dugald: - Dugald Macpherson is a Professor in the School of Mathematics at the University of Leeds.Pillay, Anand: - 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.Wilkie, Alex: - Alex Wilkie is Fielden Professor of Pure Mathematics at the University of Manchester. |