Computability : a mathematical sketchbook

Author(s)

• Bridges, D. S. (Douglas S.)

Bibliographic Information

Computability : a mathematical sketchbook

Douglas S. Bridges

（Graduate texts in mathematics, 146）

Springer-Verlag, c1994

• : us
• : gw

Note

Includes bibliographical references (p. [173]-175) and index

Description and Table of Contents

Volume

: us ISBN 9780387941745

Description

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.

Table of Contents

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.

Volume

: gw ISBN 9783540941743

Description

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.

by "Nielsen BookData"

Details

• NCID: BA21948043
• ISBN:
  • 0387941746
  • 3540941746
• LCCN: 93021313
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York ; Berlin
• Pages/Volumes: ix, 178 p.
• Size: 25 cm
• Classification:
  • NDC8 : 410.96
  • LCC : QA9.59
  • DC20 : 511.3
• Subject Headings:
  • LCSH : Computable functions
• Parent Bibliography ID:
  • BA00010074