A Course in Model Theory

ISBN-13: 9780521763240 / Angielski / Twarda / 2012 / 260 str.

Katrin Tent

Opis

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.

Recenzje

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

Spis treści

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.

O autorze

Tent, Katrin
Katrin Tent is Professor of Mathematics at Westfälische Wilhelms-Universität Münster, Germany. Ziegler, Martin
Martin Ziegler is a Professor of Mathematics at Albert-Ludwigs-Universität Freiburg, Germany.