A Course in Model Theory

Concise introduction to current topics in model theory, including simple and stable theories.

Katrin Tent (Author), Martin Ziegler (Author)

9780521763240, Cambridge University Press

Hardback, published 8 March 2012

260 pages, 230 exercises
22.9 x 15.2 x 1.8 cm, 0.5 kg

'The book is very well written and a pleasure to read.' Tim Netzer, Zentralblatt MATH

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.

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.

Subject Areas: Mathematical logic [PBCD]