the beauty of mathematics 6.1

at university we had to show and analyse exp(x) in the real and complex plane. in this video we just show exp(x) and and proof a calculus rule (watch the indicies at the rows). but mainly the video deals with graphics to make it more interesting =)
when we look at exp(ib) with the complex number i we get the euler identity. this is very suprisingly side-effect, as you will see =)

note:
there are some jumps between the steps we show, if you want e.g. the proof of konvergency with the cauchy-criterium or the sterling formular just ask for it; i think in the future i will make a video of it

hope u like it =)

Category:

Science & Technology

Tags:

• animation
• array
• beauty
• cauchy
• complex
• euler
• exp
• exp(ib)
• exp(x)
• graphics
• identity
• math
• mathematics
• row
• sterling
• sum
• the

[hdm60]

Hallo mein Sohn

wunderschönes Video. Mach weiter so.

Gruss dein Papa

[VeritySeeker]

Nice work again. Wish I could speak german like the other people who commented, aber meine deutsch is sehr slecht. I like the graphics and animations you have together with the math.

[stockshunter]

I will have some of those equations tattood on my chest.

[pollardrho06]

Awesome!

[science2490]

Schönes Video! Studierst du Mathematik?