This is an up-to-date textbook of model theory taking the reader from
first definitions to Morley's theorem and the elementary parts of
stability theory. Besides standard results such as the compactness and
omitting types theorems, it also describes various links with algebra,
including the Skolem-Tarski method of quantifier elimination, model
completeness, automorphism groups and omega-categoricity, ultraproducts,
O-minimality and structures of finite Morley rank. The material on
back-and-forth equivalences, interpretations and zero-one laws can serve
as an introduction to applications of model theory in computer science.
Each chapter finishes with a brief commentary on the literature and
suggestions for further reading. This book will benefit graduate
students with an interest in model theory.

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