Model Theory

Wilfrid Hodges (Autor)

Buch | Hardcover

788 Seiten

1993
Cambridge University Press (Verlag)
978-0-521-30442-9 (ISBN)

Artikel merken

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.

This is an up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians. Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide variety of other areas such as set theory, geometry, algebra (in particular group theory), and computer science (e.g. logic programming and specification). Professor Hodges emphasises 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.

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.

Erscheint lt. Verlag	11.3.1993
Reihe/Serie	Encyclopedia of Mathematics and its Applications
Zusatzinfo	1 Halftones, unspecified
Verlagsort	Cambridge
Sprache	englisch
Maße	153 x 235 mm
Gewicht	1189 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-521-30442-3 / 0521304423
ISBN-13	978-0-521-30442-9 / 9780521304429
Zustand	Neuware