Book by Hodel Richard E
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This comprehensive overview of
mathematical logic is designed
primarily for advanced undergraduates
and graduate students
of mathematics. The treatment
also contains much of interest to
advanced students in computer
science and philosophy. Topics include propositional logic;
first-order languages and logic; incompleteness, undecidability,
and indefinability; recursive functions; computability;
and Hilbert’s Tenth Problem.
Reprint of the PWS Publishing Company, Boston, 1995
edition.
Widely praised for its clarity and thorough coverage, this comprehensive overview of mathematical logic is suitable for readers of many different backgrounds. Designed primarily for advanced undergraduates and graduate students of mathematics, the treatment also contains much of interest to advanced students in computer science and philosophy.
An introductory section prepares readers for successive chapters on propositional logic and first-order languages and logic. Subsequent chapters shift in emphasis from an approach to logic from a mathematical point of view to the interplay between mathematics and logic. Topics include the theorems of Gödel, Church, and Tarski on incompleteness, undecidability, and indefinability; a rigorous treatment of recursive functions and recursive relations; computability theory; and Hilbert's Tenth Problem. Numerous exercises appear throughout the text, and an appendix offers helpful background on number theory.
Dover (2013) republication of the edition published by PWS Publishing Company, Boston, 1995.
See every Dover book in print at
www.doverpublications.com
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Zustand: New. InhaltsverzeichnisrnrnPrefacen 1. Backgroundn 2. Language and Semantics of Propositional Logicn 3. Propositional Logicn 4. First-Order Languagesn 5. First-Order Logicn 6. Mathematics and Logicn 7. Incompleteness, Undecidability and Indefi. Artikel-Nr. 594715642
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