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This is an uptodate 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 SkolemTarski method of quantifier elimination, model completeness, automorphism groups and omegacategoricity, ultraproducts, Ominimality and structures of finite Morley rank. The material on backandforth equivalences, interpretations and zeroone 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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