Model Theory with Applications to Algebra and Analysis
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Model Theory with Applications to Algebra and Analysis by Dugald Macpherson
Book DescriptionThe 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.
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Book DetailsISBN: 9780521694841
(228mm x 152mm x 20mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 22-May-2008
Country of Publication: United Kingdom
Books By Author Dugald Macpherson
Stable Domination and Independence in Algebraically Closed Valued Fields, Paperback (June 2011)
This book presents research in model theory and its applications to valued fields.
Model Theory with Applications to Algebra and Analysis, Paperback (May 2008)
Account of current research in model theory and its connections with algebra and analysis; contributions from leaders in the field.
Automorphisms of First-Order Structures, Hardback (August 1994)» View all books by Dugald Macpherson
This collection of essays discusses a range of topics linking infinite permutation group theory and model theory. Topics covered include: oligomorphic permutation groups and omega-categorical structures; totally categorical structures and covers; and Jordan groups.
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Author Biography - Dugald Macpherson
Zoe Chatzidakis is Directeur de recherches in the Centre National de la Recherche Scientifique (CNRS) at the Universite 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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