The Map of Mathematics

Domain of Science · 16.3M views · 2017-02-01 · 11:06

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Overview

An animated 11-minute tour of the whole field of mathematics as a single map, showing how pure and applied math and their sub-fields relate to each other.

On Hacker News

Recommended to people asking how to self-learn math as a quick bird's-eye overview of the field.

Recommended by 4 HN people across 5 months · HN mentions 2018–2022

Topics

Recreational & visual math Pure mathematics

What people said

lcordier · 2022-05 · Recommendation
This is a good map of Mathematics to get an overview of where you can go... [VIDEO] Then Giles McMullen-Klein has an awesome recommended list for data science (your mileage may vary). [LINK]
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mathnmusic · 2020-09 · Recommendation
> shift this burden to the medium This is beautifully expressed. Knowledge consists of connections across concepts but those connections are rarely shown explicitly in textbooks. Even wikipedia, while allowing you to traverse the connections back and forth easily, does not do a great job of giving you the bird's eye view of a subject or a field. Check out this "map" of mathematics: [VIDEO] Every subject needs a similar map. Besides visualizing the connections, we'd also need interactivity to the topic that helps with forming new mental models - which is the core aspect of learning. Jupyter notebooks, ObservableHQ, Mathigon are some of the good projects working on this aspect. Disclaimer: I am building the open-source project [LINK] which is attempting to build the complete map of knowledge/skills. So I too am biased against books and in favor of digital/interactive tools.
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AareyBaba · 2020-02 · Recommendation
This is a much more entertaining map of mathematics in about 10 minutes [VIDEO] For a history of mathematics NJ Wildberger's lectures are easy to listen to. [LINK]
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Sources

Video by Domain of Science, played through YouTube.

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