Jean-Marie Constant Duhamel (; French: [dy.am?l]; 5 February 1797 – 29 April 1872) was a French mathematician and physicist.
His studies were affected by the troubles of the Napoleonic era.
He went on to form his own school École Sainte-Barbe.
Duhamel's principle, a method of obtaining solutions to inhomogeneous linear evolution equations, is named after him.
He was primarily a mathematician but did studies on the mathematics of heat, mechanics, and acoustics.
He also did work in calculus using infinitesimals.
Duhamel's theorem for infinitesimals says that the sum of a series of infinitesimals is unchanged by replacing the infinitesimal with its principal part.In 1843 he published about an early recording device he called a vibroscope.
Like other similar devices, the vibroscope was a type of measuring device similar to an oscilloscope, and could not play back the etchings it recorded.