The Limits of Mathematics

简介:
这本书是算法信息论和数学和物理学认识论课程的最终版本。它从信息论的角度讨论了爱因斯坦和戈德尔对数学本质的看法,并维持了数学是准经验的论点。奥克兰大学的克赖斯·卡劳德写了一篇前言,补充材料可在作者的网站上查阅。
这本书的特点是,它提出了一种新的 “动手” didatic方法使用LISP和Mathematica软件。读者将能够理解数学和物理学之间的密切关系。“数学的极限是Greg Chaitin在开发算法信息理论的整个职业生涯中非常个人化和独特的描述。
英文简介:
This book is the final version of a course on algorithmic information theory and the epistemology of mathematics and physics. It discusses Einstein and Goedel's views on the nature of mathematics in the light of information theory, and sustains the thesis that mathematics is quasi-empirical. There is a foreword by Cris Calude of the University of Auckland, and supplementary material is available at the author's web site.
The special feature of this book is that it presents a new "hands on" didatic approach using LISP and Mathematica software. The reader will be able to derive an understanding of the close relationship between mathematics and physics. "The Limits of Mathematics is a very personal and idiosyncratic account of Greg Chaitin's entire career in developing algorithmic information theory.
- 书名
- The Limits of Mathematics
- 译名
- 数学的极限
- 语言
- 英语
- 年份
- 1997
- 页数
- 155页
- 大小
- 4.79 MB
- 标签
- 数学
- 下载
The Limits of Mathematics.pdf
- 密码
- 65536
最后更新:2025-04-12 23:57:44