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Mathematics, Deep and Wide
Vitaly is a mathematics blog covering both the rigorous and the fascinating — abstract algebra, real analysis, number theory, geometry, and topology sit alongside probability, statistics, and the computational ideas shaping modern AI. Posts dig into the history of mathematics and the people who made it, without losing sight of the actual ideas. Whether you’re working through a proof or just curious about how math connects to the world, there’s something here worth reading.
One of the most famous results in mathematics and physics carries the wrong person's name. Stokes' theorem connects a surface integral to an integral over…
💔 I have a favorite YouTube channel on mathematical analysis — Hmath.
Welcome back to the weekend puzzle section — because what could be better than spending a few minutes on a good, solvable problem? This one…
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Not sure when you'll need this, but it's one of those things that sticks with you once you hear it.
The internet is buzzing with speculation about AI achieving new mathematical breakthroughs. Whether these claims hold up under scrutiny is another question — but the…
One of the most famous unsolved problems in mathematics may have just fallen — not to a human, but to an AI model. OpenAI has…
A new video has just been released where Terence explains mathematics — and it's well worth your time. There's a reason Terence Tao is widely…
Happy new school year! It turns out that the date itself hides two elegant mathematical facts — a prime number and the simplest repeating decimal…
Six years. This time, there's no anniversary video and no big retrospective. It might look like the uploads have stopped and the channel is winding…