A Course in Model Theory.. An Introduction to Contemporary Mathematical Logic
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- Nombre de pages443
- PrésentationRelié
- Poids0.81 kg
- Dimensions16,0 cm × 24,0 cm × 2,8 cm
- ISBN0-387-98655-3
- EAN9780387986555
- Date de parution11/07/2000
- CollectionUniversitext
- ÉditeurSpringer
Résumé
This book, translated from the French, is an introduction to first-order model theory. The first six chapters are very basic: starting from scratch, they quickly reach the essential, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. The next chapter introduces logic via the study of the models of arithmetic, and the following chapter is a combinatorial toolbox preparing for the chapters on saturated and prime models. The last ten chapters form a rather complete, but nevertheless accessible, exposition of stability theory, which is the core of the subject.
This book, translated from the French, is an introduction to first-order model theory. The first six chapters are very basic: starting from scratch, they quickly reach the essential, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. The next chapter introduces logic via the study of the models of arithmetic, and the following chapter is a combinatorial toolbox preparing for the chapters on saturated and prime models. The last ten chapters form a rather complete, but nevertheless accessible, exposition of stability theory, which is the core of the subject.
