数学之旅 The Journey of Mathematics

Course
zh
Chinese
18 h
This content is rated 4.5 out of 5
Source
  • From www.coursera.org
Conditions
  • Self-paced
  • Free Access
  • Free certificate
More info
  • 6 Sequences
  • Introductive Level

Course details

Syllabus

第1周

第一章数学是什么

第一章数学思维(上)

第一章数学思维(下)

第一章 数学学习

第2周

第二章从圆的面积谈起

第二章牛顿和莱布尼兹的微积分(上)

第二章牛顿和莱布尼兹的微积分(下)

第二章分析的严格化(上)

第二章分析的严格化(下)

第3周

第三章距离与范数

第三章线性结构

第三章空间种种

第三章知识点复习、作业、习题等

第4周

第四章布劳威尔不动点原理

第四章无穷维的不动点原理

第四章经济学的应用

第四章知识点复习、作业、习题等

第5周

第五章 Fourier定理

第五章 Fourier分析的应用

第五章 Fourier分析的发展

第五章知识点复习、作业、习题等

第6周

第六章混沌

第六章分形

第六章“混沌的游戏”

第六章 知识点复习、作业、习题等

Prerequisite

None

Instructors

  • 王 维克 - Distinguished professor in Department of Mathematics

Editor

Shanghai Jiao Tong University, a leading research university located in Shanghai, China, has been regarded as the fastest developing university in the country for the last decade. With special strengths in engineering, science, medicine and business, it now offers a comprehensive range of disciplines in 27 schools with more than 41,000 enrolled students from more than one hundred countries.

Platform

Coursera is a digital company offering massive open online course founded by computer teachers Andrew Ng and Daphne Koller Stanford University, located in Mountain View, California. 

Coursera works with top universities and organizations to make some of their courses available online, and offers courses in many subjects, including: physics, engineering, humanities, medicine, biology, social sciences, mathematics, business, computer science, digital marketing, data science, and other subjects.

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