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{{Short description|French mathematician and physicist}}
[[File:JMC Duhamel.jpg|thumb|upright|Jean-Marie Constant Duhamel]]
{{Infobox scientist
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'''Jean-Marie Constant Duhamel''' (February 5, 1797 &ndash; April 29, 1872) was a noted [[French people|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]] is named for him. He was primarily a mathematician but did studies on the mathematics of [[heat]], [[mechanics]], and [[acoustics]].<ref>[http://www-history.mcs.st-andrews.ac.uk/Biographies/Duhamel.html John J O'Connor and Edmund F Robertson. The MacTutor History of Mathematics archive]</ref> 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.
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| name = Jean-Marie Constant Duhamel
| image = JMC Duhamel.jpg
| image_size =
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| birth_date = {{birth date|df=y|1797|2|5}}
| birth_place = [[Saint-Malo]], [[Ille-et-Vilaine]], France
| death_date = {{death date and age|df=y|1872|4|29|1797|2|5}}
| death_place = Paris, France
| citizenship =
| nationality =
| fields = [[Mathematics]]<br>[[Physics]]
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| known_for = [[Derivative of the exponential map|Duhamel's formula]]<br>[[Duhamel's integral]]<br>[[Duhamel's principle]]<br>[[Vibroscope]]
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}}
'''Jean-Marie Constant Duhamel''' ({{IPAc-en|ˌ|dj|uː|ə|ˈ|m|ɛ|l}};<ref>[http://www.dictionary.com/browse/duhamel "Duhamel"]. ''[[Random House Webster's Unabridged Dictionary]]''.</ref> {{IPA|fr|dy.amɛl|lang}}; 5 February 1797 &ndash; 29 April 1872) was a [[French people|French]] [[mathematician]] and [[physicist]].

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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]].<ref>[http://www-history.mcs.st-andrews.ac.uk/Biographies/Duhamel.html John J O'Connor and Edmund F Robertson. The MacTutor History of Mathematics archive]</ref> 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.<ref>H. J. Ettlinger (1922) "A Simple Form of Duhamel's Theorem and Some New Applications", [[American Mathematical Monthly]] 29(7): 239–50</ref>

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.<ref>{{cite book |last1=Burgess |first1=Richard James |title=The History of Music Production |date=2014 |publisher= Oxford University Press |isbn=978-0199357178 |url=https://books.google.com/books?id=qMKiAwAAQBAJ | page=3 |accessdate=1 August 2019}}</ref>


== Honours ==
== Honours ==
* [[19617 Duhamel]], [[asteroid]] named from him.
* [[19617 Duhamel]], [[asteroid]] named after him

==See also==
*[[Bogoliubov inner product|Duhamel two-point function]]
*[[Convergence tests#Raabe–Duhamel's test|Raabe–Duhamel's test]]


== References ==
== References ==
{{reflist}}
{{reflist}}


{{Authority control}}
{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->

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| NAME = Duhamel, Jean Marie Constant
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION =
| DATE OF BIRTH = February 5, 1797
| PLACE OF BIRTH =
| DATE OF DEATH = April 29, 1872
| PLACE OF DEATH =
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}}
{{DEFAULTSORT:Duhamel, Jean Marie Constant}}
{{DEFAULTSORT:Duhamel, Jean Marie Constant}}
[[Category:French mathematicians]]
[[Category:19th-century French mathematicians]]
[[Category:French physicists]]
[[Category:French physicists]]
[[Category:Members of the French Academy of Sciences]]
[[Category:1797 births]]
[[Category:1797 births]]
[[Category:1872 deaths]]
[[Category:1872 deaths]]
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[[ru:Дюамель, Жан Мари Констан]]
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Latest revision as of 15:25, 25 August 2024

Jean-Marie Constant Duhamel
Born(1797-02-05)5 February 1797
Saint-Malo, Ille-et-Vilaine, France
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 (/ˌdjuːəˈmɛl/;[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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See also

[edit]

References

[edit]
  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.


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