Computation and its Limits (Hardcover)
暫譯: 計算與其極限 (精裝版)

Paul Cockshott, Lewis M Mackenzie, Gregory Michaelson

  • 出版商: Oxford University
  • 出版日期: 2012-04-07
  • 售價: $1,200
  • 貴賓價: 9.8$1,176
  • 語言: 英文
  • 頁數: 264
  • 裝訂: Hardcover
  • ISBN: 0199640327
  • ISBN-13: 9780199640324
  • 下單後立即進貨 (約5~7天)

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相關主題

商品描述

* Controversial and heavily debated topic of the limits of computation
* In-depth look at the topics surrounding the limits to computing set by the laws of nature
* Includes historical account of computing
* Highlights the computer/physics interaction
* Numerous lively figures to illustrate the text

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.

Table Of 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

商品描述(中文翻譯)

* 計算的極限是一個具爭議性且廣泛討論的主題
* 深入探討自然法則所設定的計算極限相關主題
* 包含計算歷史的回顧
* 突顯計算機與物理學的互動
* 許多生動的圖示來說明文本內容

《計算與其極限》是對計算與物理現實之間關係的創新跨學科研究。它首先探討數學在科學中為何如此有效的奧秘,並試圖從一部分物理現實對另一部分的建模來解釋這一點。從計數的起源到最具創新性的計算方法提案,作者調查自然法則和邏輯在多大程度上限制了我們能夠計算的內容。在此過程中,他們檢視了形式可計算性、計算的熱力學以及量子計算的前景。

目錄

1: 介紹

2: 什麼是計算?

3: 機械計算機及其極限

4: 可計算性的邏輯極限

5: 熱、信息與幾何

6: 量子計算機

7: 超越計算的邏輯極限?

8: 超計算提案

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