The essence of calculus

3Blue1Brown · 11.9M views · 2017 · 17:05

Open on YouTube

Pure mathematicsRecreational & visual mathcourse

Why Hacker News recommends it

A staple recommendation for anyone learning math, praised for visual intuition that makes memorized formulas make sense.

What it is

The first video of 3Blue1Brown's Essence of Calculus series, which builds toward integrals, derivatives, and the fundamental theorem of calculus from a simple geometry question. It aims to make viewers feel they could have invented calculus themselves.

Recommended by 10 HN commenters across 9 different months, 2017 to 2025.

What Hacker News said

Strong rec willurd · 2018-05 · on “Ask HN: How do I learn math/physics in my thirties?”

Grant (the 3Blue1Brown guy) has an uncanny ability to explain difficult concepts and the fundamental intuition behind them. In many of his videos, he explains topics from the perspective of a person inventing that topic (such as in his first Calculus video [1]). I can't recommend his videos enough. [1] [this video]

Strong rec gibsonf1 · 2019-07 · on “Calculus for Beginners and Artists (2003)”

I know of no better way to both learn, truly understand, and enjoy calculus than the visual approach of 3Blue1Brown in the Calculus series of videos: [this video]

Strong rec tstrimple · 2023-06 · on “What I Learned from Two Years of Teaching High School CS”

I took all the advanced math classes available to me in high school. This was despite me hating school and being a terrible student. But I enjoyed math as puzzles to solve. This was until I got into calculus. The teacher didn't have a strong grasp of the subject and more importantly it was just memorizing calculus formulas instead of understanding any sort of real-world application. In contrast, my AdMatics (advanced math and physics) class had us doing real-world physics based experiments. The application of the tools was immediately obvious. If I had a calculus lesson that broke down the problem space like this ( [this video] ) I probably wouldn't have stopped my formal education in math at tha

Recommends hatsunearu · 2017-06 · on “Georgia Tech's free math textbook collective”

[this video] check out this series (he also has a really good one on linear algebra) After that, I'd check out Khan academy.

Recommends hiaux0 · 2018-03 · on “Ask HN: How to self-learn math?”

+1 And definitely follow through his "pause and ponder" sections. If you want to build up your maths skills, it is crucial to learn how to think in the maths way. Like becoming a good programmer involves writing lots of code yourself, or to become a good dancer you need to practice your steps. For maths it's abstract thinking. Appreciation of maths is one thing, having the discipline to self-study a whole other. Edit. Regarding your 2nd Edit: His videos are made for the broadest audience possible. I'd recommend picking any video whose topic interests you the most at the moment. You will see what knowledge you lack (take notes of these!) and can expand from there. Be it to watch his maths fun

Recommends kebman · 2019-07 · on “Math Basics for Computer Science and Machine Learning [pdf]”

Well, there's always 3Blue1Brown: [LINK] Take a look at his course, Essence of Calculus: [this video] I'm not fluent in math, but I find it fascinating to watch, for some reason. NancyPi is also great: [LINK] Oh, and don't forget the Mathologer: [LINK] What a great guy! While I'm at it, go watch Numberphile too: [LINK] Is there anyone I forgot? :D

Recommends jlos · 2020-10 · on “Euler's Formula: A Complete Guide”

To answer your main question - "what level of maths" do you need is more about what topics: a couple introductory classes in Calculus, Linear Algebra, and Discrete Mathematics will make that sentence understandable. I'll give some definitions and resources, but think about how you would explain multiplication/division/algebra to a kid. At some point, you just have to work through some problems and the math just makes sense. So I'll explain the terms above, but best bet is to just take a few courses on the topics I mentioned above. Quick definitions: - Exponential: is the constant e to the power of some number. e, like pi, is a ubitiqous constant in mathematics and nature. You run into pi whe

Recommends loftyal · 2021-07 · on “Calculus Made Easy (1910)”

I would recommend watching 3Blue1Bown series on calculus. Its very easy to understand and somes with some great visuals. [this video]