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OverviewSince their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the first publication in the Lecture Notes in Logic series, Shoenfield gives a clear and focused introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. This introduction is an ideal instrument for teaching and self-study that prepares the reader for the study of advanced monographs and the current literature on recursion theory. Full Product DetailsAuthor: Joseph R. Shoenfield (Duke University, North Carolina)Publisher: Cambridge University Press Imprint: Cambridge University Press Volume: 1 Dimensions: Width: 15.60cm , Height: 1.10cm , Length: 23.50cm Weight: 0.290kg ISBN: 9781107168084ISBN 10: 1107168082 Pages: 92 Publication Date: 02 March 2017 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Tertiary & Higher Education Format: Hardback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of Contents1. Computability; 2. Functions and relations; 3. The basic machine; 4. Macros; 5. Closure properties; 6. Definitions of recursive functions; 7. Codes; 8. Indices; 9. Church's thesis; 10. Word problems; 11. Undecidable theories; 12. Relative recursion; 13. The arithmetical hierarchy; 14. recursively enumerable relations; 15. Degrees; 16. Evaluation of degrees; 17. Large RE sets; 18. Functions of reals; 19. The analytical hierarchy; 20. The projective hierarchy; Suggestions for further reading; Index.ReviewsAuthor InformationJoseph R. Shoenfield works in the Department of Mathematics at Duke University, North Carolina. Tab Content 6Author Website:Countries AvailableAll regions |