#benoit mandelbrot

[rauko]

Nebulabrot | Melinda Green (mathematics discovery | 1993)

A colorized iteration series for Melinda Green's brilliant "Buddhabrot" discovery of a new rendering algorithm that only traces escape paths of iterations within The Mandelbrot Set's original form: f(z) = z² + c

[eyepool]

Sometimes mathematicians ask me what is the hardest theorem I’ve proved. Please don’t ask me that. I prove only easy theorems. But I reserve the right to ask very, very hard questions.

—Benoit Mandelbrot, quoted by Michael Frame

[art-of-mathematics]

Do you have any recommendations for free resources like books, podcasts, videos or courses that help an autodidact get a first glimpse of chaos theory or game theory? Both topics will probably come up at my workplace and I felt you'd be a good person to ask! Thank you for your time

I'm glad you came to my ask box; Currently I do not remember most of the resources I once used, but once I remember I will reblog that post.

- Benoit B. Mandelbrot's book "The fractal geometry of nature" is pretty good for getting a good "visualized idea" of the topic of chaos theory, fractal geometry and dynamical systems. It uses helpful analogies and some parts are really awe-inspiring - overall, good food for the imagination as well!

In the meanwhile:

Does anyone of my mutuals/followers/[other humans seeing this post] know any good (introductory) resources about chaos theory and game theory?

[sapphireshorelines]

— Maria Popova, The Pattern Inside the Pattern: Fractals, the Hidden Order Beneath Chaos, and the Story of the Refugee Who Revolutionized the Mathematics of Reality

[didanawisgi]

Bottomless wonders spring from simple rules, which are repeated without end.

Benoit Mandelbrot

[noosphe-re]

The Mandelbrot set

[russell-chatterton-1980]

[nofatclips]

An explanation of fractal dimension