11:48

why are these numbers close to pi?

09:48

a super nice integral

16:02

my new favorite proof that sqrt(2) is irrational

13:46

the ruler (function) is nowhere differentiable

08:35

a classic real analysis example

19:20

when does this integral converge?

23:32

from on of my favorite mathematical subjects

17:30

a nice Ramanujan sum

11:16

pi^3.14 vs 3.14^pi

23:56

a nice exponential diophantine equation

13:51

a classic result three ways

23:24

using a rule to prove the infinitude of primes

09:51

how would you show this??

15:53

a beautiful Ramanujan product

14:04

a non-unique limit

13:59

how to take a walk and miss every rational number

12:49

taking a walk and missing all of the rational numbers

23:39

from an integral to a differential equation

13:38

the best proof that the real numbers are uncountable!!

19:13

why the math GRE is so challenging

09:49

can you find the radius??

12:28

behind the internet's favorite integration trick

18:14

can you evaluate this limit?

13:45

can you evaluate this sum??

15:57

when Feynman's trick doesn't work..

14:24

Fibonacci's favorite linear algebra problem

12:50

two average limits

12:39

sines within cosines for this integral

15:32

the nicest proof of the infinitude of primes

14:14

a questionable triple tangent sum

12:03

an amazing "folded" area problem

17:33

a surprisingly nice integral

11:35

a nice "perturbed" functional equation

04:47

a short tricky limit

17:04

how things grow

13:44

on the growth of a nice recursive sequence

17:38

how to take a sum over a set

18:08

a super nice functional equation

11:47

can you solve this Swiss Math Olympiad problem??

26:38

a very golden Fibonacci sum

14:28

one of the most important ideas from Complex functions

18:01

this mix makes integrals very difficult!

30:20

can you pass a real college Differential Equations test??

18:36

complex numbers tells us that the factorial is very special

21:23

a nice result from Ramanujan's "lost notebook"

21:10

VE Project 2 copy 2

14:19

so many moving parts in this integral

17:41

topology can make distance weird...

10:27

can you find the trick for this infinite sum??

10:27

can you find the limit of this recursive sequence??

16:04

I solved this two ways -- which do you prefer??

26:43

can you do the hardest problem from the European Mathematical Cup??

14:00

from our favorite integral suggester

23:43

a very tricky Diophantine equation

12:45

can you solve this exponential equation?

16:16

infinitely many primes -- the topology way!

17:18

towards the notion of an exact second order differential equation

15:53

I hope you didn't forget your linear algebra for this integral!

11:31

two nice math problems

14:03

two ways, one sum