An Introduction to Mathematical Logic (Dover Books on Mathematics)
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Language: English
Published by Dover Publications, 2013
- Softcover
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Softcover
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- Title
- An Introduction to Mathematical Logic (Dover Books on Mathematics)
- Author
- Hodel, Richard E.
- Publisher
- Dover Publications
- Publication year
- 2013
- Condition
- Acceptable
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0486497852
- ISBN 13
- 9780486497853
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.
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.
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About the Author
Richard E. Hodel is Associate Professor Emeritus in the Department of Mathematics at Duke University.
"About the title" may belong to another edition of this title.
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