© 2014

Model Theory in Algebra, Analysis and Arithmetic

Cetraro, Italy 2012, Editors: H. Dugald Macpherson, Carlo Toffalori


Part of the Lecture Notes in Mathematics book series (LNM, volume 2111)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2111)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Dugald Macpherson, Carlo Toffalori
    Pages 1-11
  3. Lou van den Dries
    Pages 55-157
  4. Jochen Koenigsmann
    Pages 159-195
  5. Back Matter
    Pages 197-198

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.


Decidable theory Dependent theory Exponential field Model theory Valued field

Authors and affiliations

  1. 1.Department of MathematicsUniversity of IllinoisUrbanaUSA
  2. 2.Mathematical InstituteUniversity of OxfordOxfordUnited Kingdom
  3. 3.University of Leeds School of MathematicsLeedsUnited Kingdom
  4. 4.Department of MathematicsUniversity of Notre DameHurleyUSA
  5. 5.Division of MathematicsUniversity of Camerino School of Science and TechnologyCamerinoItaly
  6. 6.University of Manchester School of MathematicsManchesterUnited Kingdom

Bibliographic information

  • Book Title Model Theory in Algebra, Analysis and Arithmetic
  • Book Subtitle Cetraro, Italy 2012, Editors: H. Dugald Macpherson, Carlo Toffalori
  • Authors Lou van den Dries
    Jochen Koenigsmann
    H. Dugald Macpherson
    Anand Pillay
    Carlo Toffalori
    Alex J. Wilkie
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lect.Notes Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-642-54935-9
  • eBook ISBN 978-3-642-54936-6
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VII, 195
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Mathematical Logic and Foundations
    Number Theory
  • Buy this book on publisher's site
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