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Computability and Unsolvability

Door Martin Davis

Categorie
Algemeen wetenschap
Boeknummer
#342024-ZA23
Titel
Computability and Unsolvability
Auteur
Davis, Martin
Boektype
Paperback
Uitgeverij
New York : Dover Publications
Jaar van uitgave
1982
ISBN10
0486614719
ISBN13
9780486614717
Taal
Engels
Beschrijving
Paperback, illustrated with numerous equations and diagrams, 8vo. Dover Books on Mathematics.
Samenvatting
In this classic text, Dr. Davis provides a clear introduction to computability, at an advanced undergraduate level, that serves the needs of specialists and non-specialists alike.
In Part One (Chapters 1–5), Professor Davis outlines the general theory of computability, discussing such topics as computable functions, operations on computable functions, recursive functions, Turing machines, self-applied, and unsolvable decision problems. The author has been careful, especially in the first seven chapters, to assume no special mathematical training on the part of the reader.
Part Two (Chapters 6–8) comprises a concise treatment of applications of the general theory, incorporating material on combinatorial problems, Diophantine Equations (including Hilbert's Tenth Problem) and ma
... (Lees verder)thematical logic. The final three chapters (Part 3) present further development of the general theory, encompassing the Kleene hierarchy, computable functionals, and the classification of unsolvable decision problems.
When first published in 1958, this work introduced much terminology that has since become standard in theoretical computer science. Indeed, the stature of the book is such that many computer scientists regard it as their theoretical introduction to the topic. This new Dover edition makes this pioneering, widely admired text available in an inexpensive format.
For Dover's edition, Dr. Davis has provided a new Preface and an Appendix, "Hilbert's Tenth Problem Is Unsolvable," an important article he published in The American Mathematical Monthly in 1973, which was awarded prizes by the American Mathematical Society and the Mathematical Association of America. These additions further enhance the value and usefulness of an "unusually clear and stimulating exposition" (Centre National de la Recherche Scientifique, Paris) now available for the first time in paperback.
Pagina's
247
Conditie
Goed — Name in pen on title page.
Prijs
€ 15,00

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