Computability : a mathematical sketchbook
著者
書誌事項
Computability : a mathematical sketchbook
（Graduate texts in mathematics, 146）
Springer-Verlag, c1994
- : us
- : gw
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注記
Includes bibliographical references (p. [173]-175) and index
内容説明・目次
- 巻冊次
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: us ISBN 9780387941745
内容説明
Aimed at mathematicians and computer scientists who will only be exposed to one course in this area, Computability: A Mathematical Sketchbook provides a brief but rigorous introduction to the abstract theory of computation, sometimes also referred to as recursion theory. It develops major themes in computability theory, such as Rice's theorem and the recursion theorem, and provides a systematic account of Blum's complexity theory as well as an introduction to the theory of computable real numbers and functions. The book is intended as a university text, but it may also be used for self-study; appropriate exercises and solutions are included.
目次
Preliminaries.- 1 What Is a Turing Machine?.- 2 Computable Partial Functions.- 3 Effective Enumerations.- 4 Computable Numbers and Functions.- 5 Rice's Theorem and the Recursion Theorem.- 6 Abstract Complexity Theory.- Solutions to Exercises.- Solutions for Chapter 1.- Solutions for Chapter 2.- Solutions for Chapter 3.- Solutions for Chapter 4.- Solutions for Chapter 5.- Solutions for Chapter 6.- References.
- 巻冊次
-
: gw ISBN 9783540941743
内容説明
Aimed at mathematicians and computer scientists who will only be exposed to one course in this area, this is a brief but rigorous introduction to the abstract theory of computation, sometimes also referred to as recursion theory. It develops major themes in computability theory, such as Rice's theorem and the recursion theorem, and provides a systematic account of Blum's complexity theory as well as an introduction to the theory of computable real numbers and functions. The book is intended as a university text, but it may also be used for self-study. Appropriate exercises and solutions are included.
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