A Course in Model Theory / Edition 1

by Katrin Tent, Martin Ziegler

Overview

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.

Product Details

ISBN-13:	9780521763240
Publisher:	Cambridge University Press
Publication date:	03/08/2012
Series:	Lecture Notes in Logic , #40
Edition description:	New Edition
Pages:	260
Product dimensions:	5.98(w) x 9.02(h) x 0.71(d)

About the Author

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.

Table of Contents

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.

Editorial Reviews

"This is a concise and elegant introduction to modern model theory. It is remarkable that within 184 pages of the main text and without assuming any background in logic, the authors take the reader from the classical parts of the subject, such as the compactness theorem and quantifier elimination, through Morley's Theorem and then onwards tot eh more recent developments of stability theory and forking.
David Evans, Mathematical Reviews

From the Publisher