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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.

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.

Reprint of the North Holland Press, Amsterdam and New York, 1990 edition.

Availability | Usually ships in 24 to 48 hours |

ISBN 10 | 0486488217 |

ISBN 13 | 9780486488219 |

Author/Editor | C.C. Chang H. Jerome Keisler |

Grade level | Graduate Student and Up |

Page Count | 670 |

Dimensions | 6 1/8 x 9 1/4 |

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