Papers from Benoit Mandelbrot’s office offer a peek into the mathematician’s thinking process. His work and that of his contemporaries show how images can inform theory and discovery.
Imaginary Numbers – Melvyn Bragg, In Our Time, BBC Radio 4.
“Melvyn Bragg and his guests discuss imaginary numbers. In the sixteenth century, a group of mathematicians in Bologna found a solution to a problem that had puzzled generations before them: a completely new kind of number. For more than a century this discovery was greeted with such scepticism that the great French thinker Rene Descartes dismissed it as an “imaginary” number.The name stuck – but so did the numbers. Long dismissed as useless or even fictitious, the imaginary number i and its properties were first explored seriously in the eighteenth century. Today the imaginary numbers are in daily use by engineers, and are vital to our understanding of phenomena including electricity and radio waves.”