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Model Theory
Paperback
Series: Dover Books on Mathematics
Publisher Price: $34.95
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ISBN10: 0486488217
ISBN13: 9780486488219
Publisher: Dover Pubn Inc
Published: Jun 13 2012
Pages: 672
Weight: 1.90
Height: 1.40 Width: 6.10 Depth: 9.10
Language: English
ISBN13: 9780486488219
Publisher: Dover Pubn Inc
Published: Jun 13 2012
Pages: 672
Weight: 1.90
Height: 1.40 Width: 6.10 Depth: 9.10
Language: English
Model theory deals with a branch of mathematical logic showing connections between a formal language and its interpretations or models. This is the first and most successful textbook in logical model theory. Extensively updated and corrected in 1990 to accommodate developments in model theoretic methods -- including classification theory and nonstandard analysis -- the third edition added entirely new sections, exercises, and references.
Each chapter introduces an individual method and discusses specific applications. Basic methods of constructing models include constants, elementary chains, Skolem functions, indiscernibles, ultraproducts, and special models. The final chapters present more advanced topics that feature a combination of several methods. This classic treatment covers most aspects of first-order model theory and many of its applications to algebra and set theory.
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