The Map of Mathematics: An Animated Video Shows How All the Different Fields in Math Fit Together

If you’re a regular Open Culture reader, you have hopefully thoroughly immersed yourself in The Map of Physics, an animated video–a visual aid for the modern age–that mapped out the field of physics, explaining all the connections between classical physics, quantum physics, and relativity.

You can’t do physics without math. Hence we now have The Map of Mathematics. Created by physicist Dominic Walliman, this new video explains “how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.” Watch the new video above. You can buy a poster of the map here. And you can download a version for educational use here. Enjoy.

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Comments (11)
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  • Mike says:

    What an excellent job. I’ve shared this with my friends that teach mathematics.

  • Clayton says:

    Can anyone know it all? re:math map

    Which single topic would be best to learn for general knowledge?

  • Dave says:

    Am I the only one bothered that the equation at the beginning of the video is incorrect?
    cosθ=O/A is not correct is it? I remember that being the equation for tangent.

  • Eric Jefferson says:

    You say that you know all mathematics that’s not true because if you did know all mathematics you would know that you can’t do physics without mathematics if you knew how to configure and use …
    Right angle calculus trigonometry.

  • Eric Jefferson says:

    My reply came out incorrect and it’s spelling I said that you can do physics without mathematics you would have to know if you knew how to do and configure :

    right ankle calculus trigonometry.

  • Muhammad says:

    I think you made a couple of mistakes in mathematical history, and I hope it is out of ignorance. The zero was invented by Arabs (not in India as you mentioned). Even the numbers which you use every day in your life are Arabic numbers (1,2,3 ..) and I think you should know that. Algebra which a major component in mathematics was developed by the Arab scholar “Jaber Bin Haiyan”, which was named after him. The word “Algorithm”came after the mathematical scholar “Alkhawarizmi.” Yes, he was not an Arab, but made his contribution during the Arabic civilization, which he was a member of. Albert Einstein was originally German, but his contribution is attributed to America sine he moved to USA. I do not trust “scientists” when they are biased.

  • Abdul Kareem says:

    Mathematics start from basic

  • Airean says:

    These early counting systems only saw the zero as a placeholder—not a number with its own unique value or properties. A full grasp of zero’s importance would not arrive until the seventh century A.D. in India. There, the mathematician Brahmagupta and others used small dots under numbers to show a zero placeholder, but they also viewed the zero as having a null value, called “sunya.” Brahmagupta was also the first to show that subtracting a number from itself results in zero.

    From India, the zero made its way to China and back to the Middle East, where it was taken up by the mathematician Mohammed ibn-Musa al-Khowarizmi around 773. It was al-Khowarizmi who first synthesized Indian arithmetic and showed how the zero could function in algebraic equations, and by the ninth century the zero had entered the Arabic numeral system in a form resembling the oval shape we use today

  • Miles Fidelman says:

    This is phenomenal.

    A great historical perspective on how math developed over time.

    What might make a nice follow-on is a “learning path” – a survey curriculum (reading list) that goes from “foundations” through the entire field (at a high level) based on how the concepts flow from each other, now that we know all this stuff.

  • Mark says:

    The first ever use of zero we have discovered, was Indian.
    Whilst the word algebra is Arabic, the first recorded use is Babylonian.

    I didn’t bother checking the rest. Source: history of maths dot org.

  • MohammedsFeet says:

    Arabs did so much for civilization before the onset of the Mooslum scourge. It was Mo Ham Mood himself that redefined the Arab people and made them worse off unfortunately. As an Arab, I wholeheartedly denounce the false prophet and am better for it. The whole world would be.

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