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A Handwaving Introduction to Infinitesimals
In the early 1960s, Abraham Robinson established nonstandard analysis rigorously. Not digging into the controversies around hyperreal numbers and infinitesimals, here I give a handwaving introduction to infinitesimals, following the construction in Lectures on the Hyperreals, an introduction to nonstandard…
Keep reading严谨
上一篇《数学严格性》讲了数学的严格性，基本意思就是说要建立严格的定义和公理体系，让数学的概念和演绎推理毫无争议。我还说严谨和严格有点细微的区别，那我是怎么理解严谨这词呢？
Keep reading丘成桐给高中生的讲座
2021年5月1日，Lexington High School邀请丘成桐通过ZOOM做了一个在线讲座。我听了一下颇有感触。先总结一下这个讲座的主要内容吧。
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High School Math Done Right 