jtotheizzoe:

The first ever picture of the Mandelbrot set, from this 1978 paper by Robert Brooks and J. Peter Matelski.
For comparison, here’s a more modern representation of this fractal wonder: 

(via Cliff Pickover)

jtotheizzoe:

The first ever picture of the Mandelbrot set, from this 1978 paper by Robert Brooks and J. Peter Matelski.

For comparison, here’s a more modern representation of this fractal wonder: 

(via Cliff Pickover)

For their “Inspire Her Mind” campaign, Verizon recently released this ad demonstrating some of the subtle ways girls are discouraged from learning more about science, math, and hands-on subjects.

(Source: tytnetwork)

Excellent animation of the continuous Fourier transform.

Excellent animation of the continuous Fourier transform.

(Source: xyprogramming, via lizabethgregorya)

spring-of-mathematics:

Image 1: Visualisation of an approximation of a square wave by taking the first 1, 2, 3 and 4 terms of its Fourier series. θ is 2πt.

Image 2: Visualisation of an approximation of a sawtooth wave of the same amplitude and frequency for comparison.

In mathematics, a Fourier series  is a way to represent a wave-like function as a combination of simple sine waves. More formally, it decomposes any periodic function or periodic signal into the sum of a (possibly infinite) set of simple oscillating functions, namely sines and cosines (or complex exponentials).

Image 4 - 5: A simple Fourier series.
Plot of a periodic identity function, a sawtooth wave & Animated plot of the first five successive partial Fourier series.

Source: Fourier Series - See more at Fourier Series on mathworld.wolfram.