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Jean-Marie Constant Duhamel -LRB- Saint-Malo , 5 February 1797 -- Paris , 29 April 1872 -RRB- was a French mathematician and physicist .. Saint-Malo. Saint-Malo. Paris. Paris. French. French people. mathematician. mathematician. physicist. physicist. His studies were affected by the troubles of the Napoleonic era .. Napoleonic era. Napoleonic era. He went on to form his own school Ecole 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 .. mathematician. mathematician. heat. heat. mechanics. mechanics. acoustics. 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 .