ENGLISH

An Introduction to Mathematical Logic

By Richard E. Hodel

Book information

Publisher
Dover Publications
Year
2013
ISBN
0486497852, 9780486497853
LCC
QA9
Open Library ID
OL26157946M
Language
english
Format
PDF
Filesize
1 MB (1181265 bytes)
Series
Dover Books on Mathematics
Pages
237\237
Topic
Mathematics Logic
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2024-12-31 05:18:47

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 Gdel, 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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