A mathematics-based logic text with strong emphasis on recursion theory and a new approach emphasizing Godel's theorem building to Hilbert's Tenth Problem. Topics discussed include propositional logic, first order languages and first order logic against a background of logic and mathematics.
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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.
Dover (2013) republication of the edition published by PWS Publishing Company, Boston, 1995.
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Description du livre PWS Publishing, Boston. 1995., 1995. 8vo, 491pp. A very good hardback copy. N° de réf. du libraire 84237
Description du livre Jan 01, 1995. État : Used: Good. 1995 Hardcover as shown. Clean text has small amount of very light pencil markings or writing and a very small amount of neat yellow highlighting. Binding is good. Cover has corner wear with bumped and dented corners. Tips of a couple page corners had tiny crease. N° de réf. du libraire 53-39074
Description du livre Pws Pub Co, 1995. Hardcover. État : Very Good. N° de réf. du libraire P02053494440X