An Introduction to Mathematical Logic Contributor(s): Hodel, Richard E. (Author) |
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ISBN: 0486497852 ISBN-13: 9780486497853 Publisher: Dover Publications OUR PRICE: $26.96 Product Type: Paperback - Other Formats Published: February 2013 |
Additional Information |
BISAC Categories: - Mathematics | Logic |
Dewey: 511.3 |
Series: Dover Books on Mathematics |
Physical Information: 1.1" H x 5.9" W x 8.9" (1.40 lbs) 512 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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 G del, 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. |