§ PHYSICIST · 1717–1783 · FRENCH

Jean le Rond d'Alembert

The foundling who wrote down the wave equation at twenty-nine and solved it in the same paper.

§ 01

Biography

Left on the steps of the church of Saint-Jean-le-Rond in Paris in 1717, d'Alembert grew up as the illegitimate son of an artillery officer and a salon hostess. He trained in law, medicine, and finally mathematics, teaching himself analysis from borrowed books.

In 1743 his Traité de dynamique reformulated Newtonian mechanics in terms of what is now called d'Alembert's principle: the force of inertia opposing motion can be treated as a real force, turning every dynamics problem into a statics problem. Three years later, in a memoir to the Berlin Academy, he wrote down the partial differential equation for a vibrating string and proved its general solution is a right-moving plus a left-moving waveform — an insight that would structure the theory of every wave in physics.

He co-edited the Encyclopédie with Diderot, writing its mathematical articles. He fought with Euler, Bernoulli, and Clairaut about everything from the shape of the Earth to the three-body problem. He worked out the precession equations for the Earth's axis. He refused Frederick the Great's offer to preside over the Berlin Academy. He died, respected and tired, in 1783.

§ 02

Contributions

  1. 01Derived the one-dimensional wave equation and its general solution f(x − vt) + g(x + vt) (1746)
  2. 02D'Alembert's principle reformulating Newtonian dynamics (1743)
  3. 03Worked out the precession of the equinoxes from first principles (1749)
  4. 04Co-editor of the Encyclopédie with Diderot
§ 03

Major works

1743Traité de dynamique

1747Recherches sur la courbe que forme une corde tendue mise en vibration

1751–1772Encyclopédie

§ 04

Related topics