A Course in Model Theory
A Course in Model Theory
Katrin Tent, Universität Münster, Germany
Martin Ziegler, Albert-Ludwigs-Universität Freiburg, Germany
Martin Ziegler, Albert-Ludwigs-Universität Freiburg, Germany
No date available
Hardback
9780521763240
Hardback
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
Reviews & endorsements
'The book is very well written and a pleasure to read.' Tim Netzer, Zentralblatt MATH
Product details
No date availableAdobe eBook Reader
9781139227452
0 pages
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230 exercises
Table of Contents
- Preface
- 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
- Bibliography
- Index.
