Introduction to Mathematical Logic by Hodel Hodel (English) Paperback Book

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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.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New 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 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.

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 G

Author Biography

Richard E. Hodel is Associate Professor Emeritus in the Department of Mathematics at Duke University.

Table of Contents

Preface 1. Background 2. Language and Semantics of Propositional Logic 3. Propositional Logic 4. First-Order Languages 5. First-Order Logic 6. Mathematics and Logic 7. Incompleteness, Undecidability and Indefinability 8. Recursive Functions 9. Compatability Theory 10. Hilbert's Tenth Problem Appendix: Number Theory References and recommended readings Index

Long Description

This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience 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, 1995edition.

Description for Reader

This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience 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, 1995edition.

Details ISBN0486497852 Short Title INTRO TO MATHEMATICAL LOGIC Language English ISBN-10 0486497852 ISBN-13 9780486497853 Media Book Format Paperback DEWEY 511.3 Imprint Dover Publications Inc. Place of Publication New York Country of Publication United States Year 2013 Illustrations black & white illustrations UK Release Date 2013-02-01 AU Release Date 2013-02-01 NZ Release Date 2013-02-01 Pages 512 Publisher Dover Publications Inc. Author Hodel Hodel Series Dover Books on Mathema 1.4tics Publication Date 2013-03-31 Audience Tertiary & Higher Education US Release Date 2013-03-31 We've got this

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