Since the second edition of this book (1977), Model Theory has changed radically, and is now concerned with fields such as classification (or stability) theory, nonstandard analysis, model-theoretic algebra, recursive model theory, abstract model theory, and model theories for a host of nonfirst order logics. Model theoretic methods have also had a major impact on set theory, recursion theory, and proof theory.
This new edition has been updated to take account of these changes, while preserving its usefulness as a first textbook in model theory. Whole new sections have been added, as well as new exercises and references. A number of updates, improvements and corrections have been made to the main text.
If someone will ask you about the most successful textbook in logical (classical) model theory, your answer may be only one: that is C.C. Chang and H.J. Keisler, Model Theory. This book was published for the first time in 1973. Second revised and enlarged edition appeared in 1977. Now we welcome the third edition of this classic book in classical model theory... The novelties of the third edition are these: a section on recursively saturated models, a section on Lindström's characterization of first order logic, a more extensive treatment of model-completeness and a section on nonstandard universes.