A Course in Model Theory

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

Zusatztext 'The book is very well written and a pleasure to read.' Tim Netzer, Zentralblatt MATH Informationen zum Autor Katrin Tent is Professor of Mathematics at Westfälische Wilhelms-Universität Münster, Germany. Martin Ziegler is a Professor of Mathematics at Albert-Ludwigs-Universität Freiburg, Germany. Klappentext This concise introduction takes the reader from standard notions to more advanced topics. It introduces the classic results, as well as more recent developments in this vibrant area of mathematical logic. Many worked examples and exercises make the book a useful resource for graduate students as well as researchers. Zusammenfassung This concise introduction takes the reader from standard notions to more advanced topics. It introduces the classic results, as well as more recent developments in this vibrant area of mathematical logic. Many worked examples and exercises make the book a useful resource for graduate students as well as researchers. Inhaltsverzeichnis 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.

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

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

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

Zusammenfassung
This concise introduction takes the reader from standard notions to more advanced topics. It introduces the classic results, as well as more recent developments in this vibrant area of mathematical logic. Many worked examples and exercises make the book a useful resource for graduate students as well as researchers.

Inhalt
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.

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