A Course in Model Theory

Erscheinungsjahr 2014
ISBN: 978-0-521-76324-0
Verlag: Cambridge University Press

Buch, Englisch, Band 40, 258 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 577 g

Reihe: Lecture Notes in Logic

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.

Autoren/Hrsg.

Tent, Katrin

Ziegler, Martin

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

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.

Über Autor(innen)

Ziegler, Martin
Martin Ziegler is a Professor of Mathematics at Albert-Ludwigs-Universität Freiburg, Germany.

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

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.