A Course in Model Theory: An Introduction to Contemporary Mathematical Logic

This book, translated from the French, is an introduction to first-ord er 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 model s of arithmetic, and the following is a combinatorial tool-box prepari ng for the chapters on saturated and prime models. The last ten chapte rs form a rather complete but nevertheless accessible exposition of st ability theory, which is the core of the subject.