The Chaos Hypertextbook - Mathematics in the Age of the Computer

The Chaos Hypertextbook - Mathematics in the Age of the Computer

简介:

《混沌超教科书——计算机时代的数学》(英文名:The Chaos Hypertextbook - Mathematics in the Age of the Computer)是一部深入浅出地介绍混沌理论及其数学基础的经典之作。作者通过通俗易懂的语言和丰富的图形示例,向读者展示了混沌现象背后的数学原理以及计算机技术在研究这些复杂系统中的重要作用。

书中主要探讨了动态系统的概念、分形的生成以及非线性方程的行为等主题。通过对洛伦兹吸引子、帐篷映射等典型模型的分析,作者生动地描绘了混沌现象的特点:看似随机却又蕴含规律,局部有序与整体无序并存。同时,书中还介绍了计算机在模拟和可视化这些复杂系统中的应用,帮助读者更直观地理解混沌理论的核心思想。

这本书不仅是数学爱好者的入门读物,也是编程爱好者和科学领域学生的好帮手。它通过理论与实践的结合,带领读者进入一个充满惊奇与美感的数学世界。

英文简介:

The textbook is aimed at "anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general." Although it is not extremely technical, the author recommends having a decent mathematical background. Many people will recognize, at least by name, some of the topics covered. Mandelbrot and Julia sets are two well known fractals, and the book explains how they are constructed and gives some images. The fourth and final chapter discusses ways of measuring chaos. Some Some remarkable images of fractals are given in the Eye Candy appendix.

书名
The Chaos Hypertextbook - Mathematics in the Age of the Computer
译名
混沌超教科书 - 计算机时代的数学
语言
英语
年份
2016
页数
109页
大小
671.18 kB
标签
  • 数学
  • 下载
    pdf iconThe Chaos Hypertextbook - Mathematics in the Age of the Computer.pdf
    密码
    65536

    最后更新:2025-04-12 23:58:17

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