Based on the lectures for undergraduates at Moscow State University, this book offers an introduction to the central facts and basic notions of the general theory of computation. It begins with the definition of a computable function and an algorithm and discusses decidability, enumerability, universal functions, and degrees of unsolvability. Series: Student Mathematical Library. Num Pages: 166 pages, bibliography, glossary, index. BIC Classification: PBCD; UYA. Category: (P) Professional & Vocational. Dimension: 200. Weight in Grams: 227. . 2002. Paperback. . . . .

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Bibliographic Details

Title: Computable Functions (Student Mathematical Library, Vol. 19) (Student Mathematical Library, V. 19)
Publisher: Amer Mathematical Society
Publication Date: 2002
Language: English
ISBN 10: 0821827324
ISBN 13: 9780821827321
Binding: Soft cover
Condition: New

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Synopsis

Shen and Vereshchagin base this text on lectures presented at the Moscow State U. Mathematics Dept., for which they select central notions and facts from the general theory of algorithms. Coverage includes computable functions, decidable and enumerable sets; universal functions and undecidability; numberings and operations; properties of G�del numberings; fixed point theorem; m -reducibility and properties of enumerable sets; oracle computations; arithmetical hierarchy; Turing machines; arithmeticity of computable functions; and recursive functions. For undergraduate mathematics or computer science majors, mathematicians and programmers. Translated from Russian by V. N. Dubrovskii. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Language Notes

Text: English (translation)
Original Language: Russian

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