数学思维导论

Hacker News 上怎么说

• fofoni · 2018 年

  …分析（它肯定能帮你学分析，但对你的课程帮助可能没那么大，因为它相当非传统）。如果你不太习惯证明技巧，我强烈推荐 Keith Devlin 的《Introduction to Mathematical Thinking》。关于学分析的方法：看例子。我觉得平时一直手动演算大量例子真的特别重要。每次你在教材里读到一个定义，不管是什么，…

  …analysis (it will certainly help you learn analysis, but might not help too much in your course, since it's quite non-traditional). If you're not used to proof techniques, I highly recommend Keith Devlin's "Introduction to Mathematical Thinking". About strategies to studying analysis: examples. I think it's really important to work out lots of examples by hand all the time. Every time you read a definition in your textbook, whatever it is,…

• andyjohnson0 · 2017 年

  几年前我在 Coursera 上学了《Introduction to Mathematical Thinking》这门课 [1]。虽然我觉得挺难的，但我学得很过瘾而且收获颇丰，感觉对数学思维过程有了一些深入的理解。推荐。[1] https://www.coursera.org/learn/mathematical-thinking

  A couple of years ago I did the Introduction to Mathematical Thinking course on Coursera [1]. Even though I found it hard, I enjoyed it and learned a lot, and I feel I got some insight into mathematical though processes. Recommended. [1] https://www.coursera.org/learn/mathematical-thinking

• optbuild · 2022 年

  …如果想进一步了解递归在编程中是如何以及在何处使用的，可以去看看 https://htdp.org/ 上的 Programs。关于数学归纳法，你可以读读：1. Courant 和 Robbins 的《What is Mathematics》 2. Keith Devlin 的《Introduction to Mathematical Thinking》

  …Programs at https://htdp.org/ if you want to learn more about how recursion is used in programming and where. For mathematical induction you make read: 1. What is Mathematics by Courant and Robbins 2. Introduction to Mathematical Thinking by Keith Devlin

• adamsmith143 · 2023 年

  …认真刷完任何一本线性代数教材都能提升你的线性代数能力。顺着楼主的问题推荐几本：G. Polya 的《How to Solve it》、陶哲轩的《Solving Mathematical Problems》、Keith Devlin 的《Introduction to Mathematical Thinking》都非常棒，尤其是《How to Solve it》，绝对是旷世经典。

  …working through ANY Linear Algebra textbook is going to improve your Linear Algebra skills. In the spirit of OP's question: How to Solve it by G. Polya Solving Mathematical Problems by Terrence Tao Introduction to Mathematical Thinking by Keith Devlin Are all amazing, How to Solve it in particular is an all time classic.

• djmips · 2023 年

  很多人都提到了 Keith Devlin 写的《Introduction to Mathematical Thinking》，但对我来说，他的另一本书《Mathematics: The Science of Patterns》才是真正对我影响深远的，它让我能从全局视角审视数学。这大概和……有关

  A lot of people have mentioned Keith Devlin's book "Introduction to Mathematical Thinking" by Keith Devlin but for me his other book "Mathematics: The Science of Patterns" was something that really had a huge impact on me just to put mathematics in perspective. Probably has something to do…

• jiriro · 2023 年

  Keith Devlin 的《数学思维导论》（Introduction to Mathematical Thinking）https://www.coursera.org/learn/mathematical-thinking? 学完这个我才明白数学是怎么回事 :)

  Introduction to Mathematical Thinking by Keith Devlin https://www.coursera.org/learn/mathematical-thinking? After this I got what math is about:)

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