Katrin Tent

Course in Model Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 8. März 2012
• Englisch
• ISBN-13: 9781139227452
• Artikelnr.: 42554222

Autorenporträt

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

Inhaltsangabe

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.

Rezensionen

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