A Course in Model Theory

AvKatrin Tent,Martin Ziegler

Inbunden, Engelska, 2012

Del 40 i serien Lecture Notes in Logic

793 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2012-03-08
Mått:152 x 229 x 18 mm
Vikt:500 g
Format:Inbunden
Språk:Engelska
Serie:Lecture Notes in Logic
Antal sidor:260
Förlag:Cambridge University Press
ISBN:9780521763240

Utforska kategorier

Matematikens grunder inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

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

Innehållsförteckning

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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