Jean-Marie Constant Duhamel (;"Duhamel". Random House Webster's Unabridged Dictionary. ; 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.John J O'Connor and Edmund F Robertson. The MacTutor History of Mathematics archive 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.H. J. Ettlinger (1922) "A Simple Form of Duhamel's Theorem and Some New Applications", American Mathematical Monthly 29(7): 239–50
In 1853 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.
Honours 19617 Duhamel, asteroid named after him
See also Duhamel two-point function Raabe–Duhamel's test
References