{Roma. 17. Love to learn. Love to teach.}

Making a complex world simple. Mostly a math blog. Some literature and science.

School in session. May be slow to post.

My Personal Blog
Background Illustrations provided by: http://edison.rutgers.edu/
Reblogged from mathematica  990 notes

## There are precisely as many numbers between zero and one as there are between zero and two. ‪#‎thefaultinourℝ‬ By Yichuan (Lulu) Wang (via thepoemthatdoesntrhyme)

Reblogged from imathematicus  303 notes

The relation between the sine curve and the unit circle is illustrated in this animation. As the angle increases, the value of the sine traces the familiar sine curve, in red. Here, the angle in radians is represented by the blue arc around the circle and the blue line, both of which have the exact same length.

y = sin x (where x is the angle in radians)

How could we not repost this! Brilliant animation and brilliantly explained. Trigonometry is so much more than just finding angles in triangles - which it seems is all school wants to teach you. This is what Sine really looks like, beautiful hey?

Reblogged from imathematicus  557 notes

Heres a derivation of Euler’s formula, I know the resulting identity is all over tumblr but not many people realize the derivation is relatively simple. All that is required is a knowledge of Taylor Series Expansions and it’s basic algebra from there.

I also included the fact that i^i is a real and gave its decimal approximation because its one of those things that twists the mind a little.

Reblogged from visualizingmath  69,210 notes