A Course in Model Theory

Katrin Tent, Martin Ziegler (Autoren)

Buch | Hardcover

260 Seiten

2012
Cambridge University Press (Verlag)
978-0-521-76324-0 (ISBN)

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This concise introduction takes the reader from standard notions to more advanced topics. It introduces the classic results, as well as more recent developments in this vibrant area of mathematical logic. Many worked examples and exercises make the book a useful resource for graduate students as well as researchers.

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.

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.

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.

Reihe/Serie	Lecture Notes in Logic
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 229 mm
Gewicht	500 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-521-76324-X / 052176324X
ISBN-13	978-0-521-76324-0 / 9780521763240
Zustand	Neuware