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A Course in Model Theory

Autor Katrin Tent, Martin Ziegler
en Limba Engleză Hardback – 27 ian 2014
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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Specificații

ISBN-13: 9780521763240
ISBN-10: 052176324X
Pagini: 260
Ilustrații: 230 exercises
Dimensiuni: 157 x 235 x 20 mm
Greutate: 0.58 kg
Editura: Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Recenzii

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

Descriere

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