#gif #fractals
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Real Analysis, The Game!

This course is was developed for Rutgers University Math 311H by Alex Kontorovich.

Follow along with the course lecture notes and videos, available here:
https://alexkontorovich.github.io/2025F311H.

This course takes you through an Introduction to the Real Numbers, rigorous ε-δ Calculus, and basic Point-Set Topology.

#site #game

#arithmetics #fractions

'There's also a proof without content of a conjecture without content, but it's left as an exercise for the reader.'

#fibonacci #mathematicians

#realanalysis #book

#binary #arithmetics #video

Source

#primenumbers #mathematicians #euler

You're walking alone at night through a dark alley in the middle of the night[1] when a hooded figure stops you. They tell you: "Solve the following mathematical problem right now OR I WILL SHOOT YOU DEAD.". They give you a piece of paper with the problem statement.

Three points are chosen independently and uniformly at random from the interior of a unit circle. What is the probability that their circumcircle is entirely contained within the unit circle?

They have a gun so you have no choice but to solve it. Now, because you're super stressed you have no idea how to do this in some funky clever way by appealing to symmetry or whatever. You'll just have to do it the old fashioned way and painstakingly calculate the result. Luckily the hoodlum doesn't seem to care how long it takes you to arrive at the answer. He told you as much. He provides a notebook and pen.

#site