A Course in Model Theory
1st Edition
Published on 7. May 2012
978-1-139-22745-2 (ISBN)
Description
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.
Reviews / Votes
'The book is very well written and a pleasure to read.' Tim Netzer, Zentralblatt MATHMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
1401,24 MB
ISBN-13
978-1-139-22745-2 (9781139227452)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Katrin Tent | Martin Ziegler
A Course in Model Theory
Book
03/2012
Cambridge University Press
€84.90
Shipment within 15-20 days
Persons
Katrin Tent is Professor of Mathematics at Westfaelische Wilhelms-Universitaet Muenster, Germany. Martin Ziegler is a Professor of Mathematics at Albert-Ludwigs-Universitaet Freiburg, Germany.
Content
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.
