A mathematical prodigy, Painlevé embarked on a career devoted to science, but he turned to politics after the Dreyfus Affair sparked his interest. In World War I, he held several French cabinet posts and was briefly premier in 1917. He was premier again in 1925 and was later minister of war and minister of aviation. In mathematics, Painlevé ranked among the best minds of his time, and he made important contributions in the field of differential equations. What are the Painlevé transcendents? Discuss