Ch. 1Prelude
In 1787, Crown Prince Louis Joseph took a university-level mathematics examination under Lagrange while planning how to save France and himself from the coming Revolution. He impressed Lagrange with his answers, especially a proof that revealed mathematical knowledge far ahead of its time, and continued on to the final questions.
- Louis Joseph recalled his modern life and considered the debt, famine, political unrest, and foreign threats facing France.
- Louis Joseph finished the first page of Lagrange’s examination with answers that astonished the mathematician.
- Lagrange replaced the remaining test with five questions, and Louis Joseph quickly solved the first two.
- Louis Joseph wrote a proof of Rolle’s Theorem for differentiable functions, prompting Lagrange to ask how he had discovered it.
- Louis Joseph realized his proof was historically premature, took back the paper, and turned to the final two questions.