BBC’s documentary that exams four great mathematicians: Georg Cantor, Ludwig Boltzmann, Kurt Gödel and Alan Turing whose work profoundly influenced modern mathematics but also may have drove them insane. Cantor studied set theory. Boltzmann made profound contributions in statistical mechanics and statistical thermodynamics. Gödel is remembered for his incompleteness theorems. Turing furthered Gödel’s work and laid the foundation for computer science. They all spent their final years battling mental illness.
Related: Mathematicians who studied the concept of infinity.
Pure mathematics,Algebra,Calculus and analysis,Geometry and topology
Combinatorics,Logic,Number theory,Applied mathematics,Dynamical systems and differential equations,Mathematical physics
Computing,Information theory and signal processing,Probability and statistics,Game theory,Operations research