Introduction to Mathematical Logic / Edition 1 by Richard E. Hodel | 9780534944407 | Hardcover | Barnes & Noble
Introduction to Mathematical Logic / Edition 1

Introduction to Mathematical Logic / Edition 1

by Richard E. Hodel
     
 

ISBN-10: 053494440X

ISBN-13: 9780534944407

Pub. Date: 01/28/1995

Publisher: Brooks/Cole

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

Overview

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.

Product Details

ISBN-13:
9780534944407
Publisher:
Brooks/Cole
Publication date:
01/28/1995
Pages:
512
Product dimensions:
6.69(w) x 9.84(h) x (d)

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

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