計算とその限界 Computation and its Limits

Cockshott, Paul/ Mackenzie, Lewis M/ Michaelson, Gregory

Oxford University Press（2012/03発売）

• 製本 Hardcover:ハードカバー版／ページ数 246 p.
• 言語 ENG
• 商品コード 9780199640324
• DDC分類 004.0151

基本説明

An innovative cross-disciplinary investigation of the relationship between computing and physical reality. It begins by exploring the mystery of why mathematics is so effective in science and seeks to explain this in terms of the modelling of one part of physical reality by another.

Full Description

Computation and its Limits is an innovative cross-disciplinary investigation of the relationship between computing and physical reality. It begins by exploring the mystery of why mathematics is so effective in science and seeks to explain this in terms of the modelling of one part of physical reality by another. Going from the origins of counting to the most blue-skies proposals for novel methods of computation, the authors investigate the extent to which the laws of nature and of logic constrain what we can compute. In the process they examine formal computability, the thermodynamics of computation and the promise of quantum computing.

Contents

1. Introduction ; 2. What is computation? ; 3. Mechanical computers and their limits ; 4. Logical limits to computability ; 5. Heat, information and geometry ; 6. Quantum computers ; 7. Beyond the logical limits of computing? ; 8. Hyper computing proposals