Collection of the math notes, in this case on basic Trigonometry. Lovely site in general for refreshing or even learning some HS level math!

The main issue is that, by the time you get to the frontiers of math, the words to describe the concepts don’t really exist yet. Communicating these ideas is a bit like trying to explain a vacuum cleaner to someone who has never seen one, except you’re only allowed to use words that are four letters long or shorter.

A blog about math and typst

a blog about machine learning, data, math, and other topics

A mathematician volunteers to teach a class at a women’s prison and learns an unexpected lesson. Told live at our Man Behind the Curtain Show on June 16, 2018 at The ArtsCenter in Carrboro, NC.

via: https://geometrynyc.wixsite.com/home/combinatorics-reu

Hi! I’m Misha. I do research in combinatorics and teach math, occasionally to high-school students.

via: https://vertex.degree/

In mathematics it happens at times that one and the same concept is given two different names to indicate a specific perspective, a certain attitude as to what to do with such objects.

The labs on this website are designed to accompany the Foundations of Applied Mathematics textbook series.[1] They provide hands-on experience with key mathematical and computational concepts, connecting theory to practical, real-world applications.

I’m a fifth-year Ph.D. student in the Department of Mathematics at The Ohio State University. I’m interested in algebraic topology, semigroup theory, and computer science.

via: https://www.youtube.com/watch?v=CxGtAuJdjYI

This is the kind of mathematics I was put on this earth to do. The equation explorer is also just a genuinely useful tool for looking up equations; did so earlier this year as part of preparations for a lecture I gave.

Such an aesthetic problem.

A counterexample is any exception to a generalization. Counterexamples  are often used in science (and philosophy), as a means to setting boundaries. In mathematics at large,  well-chosen counterexamples may  bound possible theorems, disprove certain conjectures. This conspectus is (mostly) meant to gather and share counterexample book references (on algebra, analysis, calculus, logic, philosophy, probability, statistics, topology).

In general, if you’re trying to prove something, you can think of the various techniques and tools you have much like chess moves or Hanabi lines. Just like in turn-based games, you’ll find there are dead ends, e.g. trying to apply so-and-so theorem to reduce the problem to proving X, but X turns out to be false. Or there will be lots of paths that look more promising, but you can’t see far enough into the future to completely evaluate them all, and then you have to use heuristics and intuition to prioritize between approaches.

Most of us are familiar with the Fibonacci sequence. What’s the largest Fibonacci number you can compute in 1 second? I’m not setting any world records, here; I don’t own a supercomputer.

Je trouve amusant de lire ce que Dikstra a pu trouver, le premier exercice ressemble à un truc que je pourrais vouloir résoudre

A very nerdy talk on baseball using analogies to logic and probability.

The Largest Collection of Interactive Geometric Puzzles

120 Levels: From Very Easy to Really Hard, 11 Tutorials, 10 Innovative Tools, Automatic Verification of Solutions, “Explore” Mode and Hints, Dynamic Geometry in Action