Model Theory

Klappentext Professor Hodges emphasizes definability and methods of construction! and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography! enhancing the book's use as a reference. Zusammenfassung Model theory is concerned with the notions of definition! interpretation and structure in a very general setting! and is applied to a wide range of other areas such as set theory! geometry! algebra and computer science. This book provides an integrated introduction to model theory for graduate students. Inhaltsverzeichnis Part I. Language and Structure: 1. Naming of parts; 2. Classifying structures; 3. Structures that look alike; 4. Automorphisms; 5. Interpretations; Part II. Piecing Together a Structure: 6. The first order case; 7. The countable case; 8. The existential case; 9. The Horn case; Part III. Consequences of Compactness: 10. Saturation; 11. Combinatorial; 12. Expansions and categoricity; Examples; Bibliography; Index.

Klappentext
Professor Hodges emphasizes definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.

Zusammenfassung
Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.

Inhalt
Part I. Language and Structure: 1. Naming of parts; 2. Classifying structures; 3. Structures that look alike; 4. Automorphisms; 5. Interpretations; Part II. Piecing Together a Structure: 6. The first order case; 7. The countable case; 8. The existential case; 9. The Horn case; Part III. Consequences of Compactness: 10. Saturation; 11. Combinatorial; 12. Expansions and categoricity; Examples; Bibliography; Index.

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