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Hacker News Comments on

Introduction to Mathematical Thinking

Coursera
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Stanford University
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2
HN points
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13
HN comments
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- Ranked #30 this year (2021) · view

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there's also Intro to mathematical thinking: https://www.coursera.org/learn/mathematical-thinking/home/we...and mathematics for machine learning: https://mml-book.github.io/

You internalise mathematical notation by using it to solve mathematical problems and express mathematical ideas.Two excellent resources are:

1. Introduction to Mathematical Thinking (if you prefer moocs) - https://www.coursera.org/learn/mathematical-thinking?

2. How to think Like a Mathematican - https://www.amazon.co.uk/How-Think-Like-Mathematician-Underg...

Introduction to Mathematical Thinking (https://www.coursera.org/learn/mathematical-thinking). Aims to teach you what it is like to think like a mathematician. Covers the elements of topics that you probably encounter in the first semester of an undergraduate maths degree: logic, induction, proof construction, real analysis, etc.Machine Learning (https://www.coursera.org/learn/machine-learning). I'm still working through this course but am finding it extremely interesting. I find that having to implement things in matlab/octave gives you a deeper understanding than using a framework like tensorflow or keras.

Both of the above courses have good instructors, which I think is the main factor that makes a good mooc.

Coursera's 'Introduction to Mathematical Thinking' is a great starter course for real Analysis https://www.coursera.org/learn/mathematical-thinking

A couple of years ago I did theIntroduction to Mathematical Thinkingcourse 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.

Earlier this year I did the StanfordIntroduction to Mathematical Thinkingcourse on Coursera [1]. I found it fairly challenging but managed to finish with a distinction. The instructor was particularly good.I'm now working through UCSD

Interaction Designspecialisation [2], which is a series of courses followed by a project. So far its been very good, although the short course format (3-4 weeks) means that there isn't time for much of a community to form among the participants. I've learned a lot though.I'd recommend both courses.

[1] https://www.coursera.org/course/maththink

[2] https://www.coursera.org/specializations/interaction-design

⬐ codexjourneysI also loved the Mathematical Thinking course, it was the first MOOC I completed and still one of my favorites!

"Mathematical thinking", on this course: https://www.coursera.org/course/maththink

A related "Ask HN" from a couple of months ago: How or where to begin learning mathematics from first principles? [1]I'm at the very start of what I hope might be a similar journey, and have signed-up for a Coursera "Introduction to Mathematical Thinking" course. I'm hoping it might give me some insight to build on. The course starts in about ten days, so apprehension hasn't kicked-in yet.

Some I can recommend that are still available on Coursera:- Introduction to mathematical thinking [1]

- Introduction to Mathematical Philosophy [2]

- Machine Learning (actually a CS course, but involves linear algebra and some calculus) [3]

- Calculus: Single Variable [4]

[1] https://www.coursera.org/course/maththink

[2] https://www.coursera.org/course/mathphil

⬐ mitochondrionMany thanks!

Have you seen the courseraintroduction to mathematical thinking [1]? That may be a good starting point.

I know he mentions people doing their own googling, but I'd like to recommend this coursera course: https://www.coursera.org/course/maththinkIt's one of my favorite MOOCs of all time, a fantastic intro to mathematical thinking.

The author of this article teaches a course on coursera that I can't recommend enough, he put so much effort into that course. https://www.coursera.org/course/maththink As you might have guessed its not really about 'math' in traditional sense.

I think this skill is something all hackers should learn, as they implicitly use it in most of their ventures. Once mathematical thinking (abstract/outside the box thinking) is learned, it will be far easier to learn new math techniques and concepts in the future.