Course in Model Theory An Introduction to Contemporary Mathematical Logic

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 is a combinatorial tool-box 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.Poizat, Bruno is the author of 'Course in Model Theory An Introduction to Contemporary Mathematical Logic' with ISBN 9780387986555 and ISBN 0387986553.