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Coursera公开课介绍: 数学思维简介(Introduction to Mathematical Thinking)

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Coursera上一门看起来很有意思的公开课:数学思维简介(Introduction to Mathematical Thinking),将于9月17号开课,从课程介绍来看,这门课程并不是去解决一个个具体的问题,而是教你用数学的思维去解决现实世界的形形色色的问题,具体我也不太清楚,先来看看授课老师来自于斯坦福大学的Keith Devlin教授关于这门课程的介绍视频吧:



About the Course

The goal of the course is to help you develop a valuable mental ability – a powerful way of thinking that our ancestors have developed over three thousand years.
Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box – a valuable ability in today’s world. This course helps to develop that crucial way of thinking.
The primary audience is first-year students at college or university who are thinking of majoring in mathematics or a mathematically-dependent subject, or high school seniors who have such a college career in mind. They will need mathematical thinking to succeed in their major. Because mathematical thinking is a valuable life skill, however, anyone over the age of 17 could benefit from taking the course.

Course Syllabus

Instructor’s welcome and introduction
 1.  Introductory material
 2.  Analysis of language – the logical combinators
 3.  Analysis of language – implication
 4.  Analysis of language – equivalence
 5.  Analysis of language – quantifiers
 6.  Working with quantifiers
 7.  Proofs
 8.  Proofs involving quantifiers
 9.  Elements of number theory
10.  Beginning real analysis


时间: 2012年 9月 7日 分类:数学 作者: 52opencourse (24,880 基本)



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已回复 2012年 9月 19日 作者: 木木 (180 基本)


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