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Model Theory (Dover Books on Mathematics)

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Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and saturated and special models. 1990 edition.

Synopsis:

This classic treatment covers most aspects of first-order model theory and many of its applications to algebra and set theory. Extensively updated and corrected in 1990 to accommodate the most recent developments, including classification theory and nonstandard analysis, this third edition of the bestselling text added entirely new sections, exercises, and references. 1990 edition.

Synopsis:

Model theory deals with a branch of mathematical logic showing connections between a formal language and its interpretations or models. Extensively updated and corrected in 1990 to accommodate the most recent developments in model theoretic methods, including classification theory and nonstandard analysis, this third edition of the bestselling classic added entirely new sections, exercises, and references.

Table of Contents

Preface
1. Introduction
2. Models contructed from constants
3. Further model-theoretic constructions
4. Ultraproducts
5. Saturated and special models
6. More about ultraproducts and generalizations
7. Selected topics
Appendix A. Set theory
Appendix B. Open problems in classical model theory
Historical notes
References
Additional references
Index of definitions
Index of symbols
 

Product Details

ISBN:
9780486488219
Author:
Chang, C. C.
Publisher:
Dover Publications
Author:
Keisler, H. Jerome
Author:
Mathematics
Author:
Chang, Chen Chung
Subject:
Logic
Subject:
Model theory
Subject:
mathematical logic
Subject:
Formal languages
Subject:
Mathematics-Logic and Philosophy
Subject:
model th
Subject:
eory
Edition Description:
Third Edition
Series:
Dover Books on Mathematics
Publication Date:
20120631
Binding:
TRADE PAPER
Language:
English
Pages:
670
Dimensions:
9.25 x 6.13 in

Related Subjects


Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » History
Science and Mathematics » Mathematics » Logic and Philosophy
Science and Mathematics » Mathematics » Modeling
Science and Mathematics » Mathematics » Set Theory

Model Theory (Dover Books on Mathematics) New Trade Paper
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$34.95 In Stock
Product details 670 pages Dover Publications - English 9780486488219 Reviews:
"Synopsis" by ,
This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and saturated and special models. 1990 edition.
"Synopsis" by , This classic treatment covers most aspects of first-order model theory and many of its applications to algebra and set theory. Extensively updated and corrected in 1990 to accommodate the most recent developments, including classification theory and nonstandard analysis, this third edition of the bestselling text added entirely new sections, exercises, and references. 1990 edition.
"Synopsis" by , Model theory deals with a branch of mathematical logic showing connections between a formal language and its interpretations or models. Extensively updated and corrected in 1990 to accommodate the most recent developments in model theoretic methods, including classification theory and nonstandard analysis, this third edition of the bestselling classic added entirely new sections, exercises, and references.

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