Five YouTube Channels That Make You Love Mathematics

Brady Haran is a journalist. Not a mathematician. And that’s precisely what makes Numberphile different from everything else.

In each video, Haran sits down with a mathematician and asks a single question: can you explain this to me? Brown paper comes out, a pen appears, and someone from Cambridge or Oxford starts getting lost inside numbers. Why 42 is so peculiar. The existence of infinities of different sizes. The strange regularity hiding inside the distribution of prime numbers. The topics are chosen so that every one of them leaves you thinking: I never thought about this before, and now I can’t think about anything else.

Numberphile’s secret isn’t production — it’s selection. A journalist who knows which questions are worth asking, paired with a mathematician who still finds the answers genuinely exciting. Everything else follows.

Grant Sanderson believes in something: that genuinely understanding a piece of mathematics is a completely different experience from memorizing a formula. To prove it, he taught himself to write animations.

The videos on 3Blue1Brown are built around making abstraction visible. What is a derivative — not symbolically, but as something that moves? What is a Fourier transform actually doing? What does the determinant of a matrix mean geometrically? Most textbooks answer these questions with definitions. Sanderson builds each one from scratch, spending hours on animations, until the viewer reaches the moment: I should have always seen it this way.

The channel’s name looks arbitrary until you learn that Sanderson has one blue eye and one brown. A small detail — but it says something about the kind of person who finds meaning in everything, including his own name.

Eddie Woo is a high school teacher. The reason he started his channel in 2012 is not remarkable: a student was sick and missing class, so he set up a camera to record the lessons. Then he never stopped.

Woo’s videos aren’t polished. The audio is imperfect, the whiteboard is worn, student voices drift in from the background. But Woo does one thing exceptionally well: he turns wrong answers into the lesson. When a student misunderstands something, he pauses. He asks, “interesting — why did you think that?” And then he builds the correct idea out of the misunderstanding itself. Watching this happen is more instructive than any textbook chapter on pedagogy could be.

Especially for anyone who grew up thinking a great mathematics teacher was something other people got.

Socratica is for the people who keep asking: what comes after this?

Where most resources stop — at the end of secondary school mathematics — Socratica continues. Abstract algebra, number theory, topology: subjects that usually live inside thick university textbooks or impenetrable academic papers. Socratica translates them into short, carefully made videos. Nothing is skipped. Every definition is stated. Every example is chosen deliberately. Each step rests on the one before it. If the irrationality of √2 once felt like a trick, here it becomes a consequence.

The tone is quieter than most channels here — less dramatic, more methodical. But that’s not a weakness. Some things are understood not through excitement, but through patience. Socratica knows the difference.

In 2004, Sal Khan started recording videos to help a cousin who lived far away. When the cousin said she preferred the videos to the live sessions, he understood something: perhaps everyone could learn this way. Khan Academy is now one of the largest free educational platforms on earth.

What separates Khan Academy from everything else on this list is its nature: it isn’t a place for discovery, it’s infrastructure. From basic arithmetic to differential equations, everything is here — step by step, patiently, with nothing assumed and nothing skipped. For returning to a topic you haven’t touched in years, for going back to the point where something stopped making sense, or for starting entirely from scratch — it remains the most reliable address there is.

No spectacle. But there’s a reason it’s still here after more than twenty years.