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A Course in Model Theory

$67.99 (P)

Part of Lecture Notes in Logic

  • Date Published: April 2012
  • availability: Available
  • format: Hardback
  • isbn: 9780521763240

$ 67.99 (P)

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About the Authors
  • This concise introduction to model theory begins with standard notions and takes the reader through to more advanced topics such as stability, simplicity and Hrushovski constructions. The authors introduce the classic results, as well as more recent developments in this vibrant area of mathematical logic. Concrete mathematical examples are included throughout to make the concepts easier to follow. The book also contains over 200 exercises, many with solutions, making the book a useful resource for graduate students as well as researchers.

    • Begins at the elementary level and leads up to current research
    • Suitable for use as a graduate-level textbook or for individual study
    • Exercises and solutions enable students to test their understanding
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    Reviews & endorsements

    "This is a concise and elegant introduction to modern model theory. It is remarkable that within 184 pages of the main text and without assuming any background in logic, the authors take the reader from the classical parts of the subject, such as the compactness theorem and quantifier elimination, through Morley's Theorem and then onwards tot eh more recent developments of stability theory and forking.
    David Evans, Mathematical Reviews

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    Product details

    • Date Published: April 2012
    • format: Hardback
    • isbn: 9780521763240
    • length: 260 pages
    • dimensions: 229 x 152 x 18 mm
    • weight: 0.5kg
    • contains: 230 exercises
    • availability: Available
  • Table of Contents

    1. The basics
    2. Elementary extensions and compactness
    3. Quantifier elimination
    4. Countable models
    5. Aleph-1-categorical theories
    6. Morley rank
    7. Simple theories
    8. Stable theories
    9. Prime extensions
    10. The fine structure of 1-categorical theories
    A. Set theory
    B. Fields
    C. Combinatorics
    D. Solutions of exercises

  • Authors

    Katrin Tent, Universität Münster, Germany
    Katrin Tent is Professor of Mathematics at Westfälische Wilhelms-Universität Münster, Germany.

    Martin Ziegler, Albert-Ludwigs-Universität Freiburg, Germany
    Martin Ziegler is a Professor of Mathematics at Albert-Ludwigs-Universität Freiburg, Germany.

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