Application Quote by Heinz-Otto Peitgen

The Mandelbrot set is the most complex mathematical object known to mankind.

— Benoit Mandelbrot

The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.

— Benoit Mandelbrot

The simple equations that generate the convoluted Mandelbrot fractal have been called the wittiest remarks ever made.

— John Allen Paulos

One factor that has remained constant through all the twists and turns of the history of physical science is the decisive importance of the…

— Freeman Dyson

The usefulness of mathematics in furthering the sciences is commonly acknowledged: but outside the ranks of the experts there is little inquiry into its…

— Herbert Turnbull

A large part of mathematics which becomes useful developed with absolutely no desire to be useful, and in a situation where nobody could possibly…

— John Von Neumann

“Mathematics is much more than a language for dealing with the physical world. It is a source of models and abstractions which will enable…

— Melvin Schwartz

If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics…

— Cassius Jackson Keyser

“I had better say something here about this question of age, since it is particularly important for mathematicians. No mathematician should ever allow himself…

— G.H. Hardy

[The] humanization of mathematical teaching, the bringing of the matter and the spirit of mathematics to bear not merely upon certain fragmentary faculties of…

— Cassius Jackson Keyser

“But, as powerful mathematicians like Minkowski and Hilbert found striking harmony between their pure mathematical results and the workings of the physical world, many…

— John D. Barrow

“Our generation is witness to a development of physical knowledge such as has not been seen since the days of Kepler, Galileo and Newton,…

— Hermann Weyl