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Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
Richard E. Hodel is Associate Professor Emeritus in the Department of Mathematics at Duke University.
From the Back Cover
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
"About this title" may belong to another edition of this title.
- PublisherDover Publications Inc
- Publication date2013
- ISBN 10 0486497852
- ISBN 13 9780486497853
- BindingPaperback
- LanguageEnglish
- Number of pages512
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Paperback. Condition: new. Paperback. 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 Godel, 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. Comprehensive overview, suitable for advanced undergraduates and graduate students, covers propositional logic; first-order languages and logic; incompleteness, undecidability, and indefinability; recursive functions; computability; and Hilbert's Tenth Problem. 1995 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780486497853
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