| Jean-Marie Constant Duhamel | |
| Birth Date: | 1797 2, df=y |
| Birth Place: | Saint-Malo, Ille-et-Vilaine, France |
| Death Place: | Paris, France |
| Fields: | Mathematics Physics |
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| Thesis1 Year: | and |
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| Known For: | Duhamel's formula Duhamel's integral Duhamel's principle Vibroscope |
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Jean-Marie Constant Duhamel (;[1] in French dy.amɛl/; 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.[2] 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.[3]
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.[4]