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Jean-Marie Duhamel

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Jean-Marie Constant Duhamel
Born(1797-02-05)5 February 1797
Died29 April 1872(1872-04-29) (aged 75)
Paris, France
Known forDuhamel's formula
Duhamel's integral
Duhamel's principle
Vibroscope
Scientific career
FieldsMathematics
Physics

Jean-Marie Constant Duhamel (/ˌdjəˈmɛl/;[1] 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]

Honours

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References

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  1. ^ "Duhamel". Random House Webster's Unabridged Dictionary.
  2. ^ John J O'Connor and Edmund F Robertson. The MacTutor History of Mathematics archive
  3. ^ H. J. Ettlinger (1922) "A Simple Form of Duhamel's Theorem and Some New Applications", American Mathematical Monthly 29(7): 239–50
  4. ^ Burgess, Richard James (2014). The History of Music Production. Oxford University Press. p. 3. ISBN 978-0199357178. Retrieved 1 August 2019.