Authors:
- Presentation of a seminar result (Wilkie's o-minimality of the real exponential field) through a series of exercises
- Extended expository article on the model theory of valued fields, an area with many current researchers and a lack of good expositions
- Wide-ranging and up-to-date overview of undecidability and Hilbert's Tenth Problem, linking model theory, number theory, and algebraic geometry
- Exposition of recent breakthrough in abstract model theory, around NIP theories
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2111)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (5 chapters)
-
Front Matter
-
Back Matter
About this book
Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.
Authors and Affiliations
-
Department of Mathematics, University of Illinois, Urbana, USA
Lou Dries
-
Mathematical Institute, University of Oxford, Oxford, United Kingdom
Jochen Koenigsmann
-
University of Leeds School of Mathematics, Leeds, United Kingdom
H. Dugald Macpherson
-
Department of Mathematics, University of Notre Dame, Hurley, USA
Anand Pillay
-
Division of Mathematics, University of Camerino School of Science and Technology, Camerino, Italy
Carlo Toffalori
-
University of Manchester School of Mathematics, Manchester, United Kingdom
Alex J. Wilkie
Bibliographic Information
Book Title: Model Theory in Algebra, Analysis and Arithmetic
Book Subtitle: Cetraro, Italy 2012, Editors: H. Dugald Macpherson, Carlo Toffalori
Authors: Lou Dries, Jochen Koenigsmann, H. Dugald Macpherson, Anand Pillay, Carlo Toffalori, Alex J. Wilkie
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-54936-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2014
Softcover ISBN: 978-3-642-54935-9Published: 02 October 2014
eBook ISBN: 978-3-642-54936-6Published: 20 September 2014
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 195
Topics: Mathematical Logic and Foundations, Algebra, Analysis, Number Theory