Euler's e-sequence is increasing: proof by Binomial Expansion!
A direct proof that a_n =(1+1/n)^n is increasing, using the binomial theorem. Previously I had shown this using some clever AM-GM tricks. Related videos... • Sequences converging to e. • A Geometric Interpretation of Euler's e-Se...
▶︎
The rational root theorem and its consequences.
▶︎
Ramanujan's favorite coincidence (it's not a coincidence)
▶︎
The Physics of Euler's Formula | Laplace Transform Prelude
▶︎
The Basel Problem
▶︎
Why Einstein Field Equations So Hard?
▶︎
Ptolemy's value for Pi and Backhouse pancake functions.
▶︎
Count Binface reacts to 'hilarious' chance of becoming an actual MP
▶︎
Something strange happens when you "bump the base"
▶︎
Profound implications of Fermat's principle.
▶︎
From Child Prodigy to Winning Fields Medal, Nobel of Math
▶︎
Mathematics is a marathon, not a sprint- Advice to Young Mathematicians- B. Sudakov- Abel Prize 2026
▶︎
Violence Expert: Real Self-Defense Is TERRIFYING
▶︎
Bertrand's paradox: one problem, three different answers!
▶︎
The craziest definition of the derivative you have ever seen!
▶︎
21 Yr Old Disproves 4 Decades Old Belief in Computing
▶︎
Golden ratio and trig functions
▶︎
The Greatest Unsolved Problem In Mathematics
▶︎
But what is a Laplace Transform?
▶︎
the equation Ramanujan couldn't solve!!
▶︎