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Lagrange's research on the nature and propagation of sound

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Post-edited
Authors : Darrigol, Olivier (Author of the conference)
CIRM (Publisher )

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introduction sound propagation - historical aspects vibrating strings - historical aspects Lagrange's first memoir on sound Lagrange - vibrating strings - discretization vibrating strings - harmonic analysis acoustics Lagrange - reception of the first memoir on sound Lagrange's second memoir on sound vibrating strings redux reception of the second memoir on sound conclusion
Abstract : The most important works of the young Lagrange were two very learned memoirs on sound and its propagation. In a tour de force of mathematical analysis, he solved the relevant partial differential equations in a novel manner and he applied the solutions to a number of acoustic problems. Although Euler and d'Alembert may have been the only contemporaries who fully appreciated these memoirs, their contents anticipated much more of Fourier analysis than is usually believed. On the physical side, Lagrange properly explained the functioning of string and air-column instruments, although he did not accept harmonic analysis as we now understand it.
Lagrange - acoustics - propagation of sound - harmonic analysis - Fourier analysis - vibrating strings - organ pipes

MSC Codes :
01A50 - 18th century
 35-03 - Historical (must be assigned at least one classification number from Section 01)
 40-03 - Historical (must be assigned at least one classification number from Section 01)
 76-03 - Historical (must be assigned at least one classification number from Section 01)
    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 20/01/14
    Conference Date : 18/10/13
    Series : Special events ; Lagrange Days
    arXiv category : History and Overview ; Mathematical Physics ; Analysis of PDEs
    Mathematical Area(s) : History of Mathematics ; Mathematical Physics ; Analysis and its Applications ; PDE
    Format : QuickTime (.mov) Video Time : 00:48:25
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2013-10-18_Darrigol.mp4
Information on the Event

Event Title : Lagrange Days / Journées Lagrange
Event Organizers : Benzoni-Gavage, Sylvie ; Jouve, Guillaume
Dates : 18/10/13 - 19/10/13
Event Year : 2013
Event URL : http://math.univ-lyon1.fr/homes-www/benz...

Citation Data

DOI : 10.24350/CIRM.V.18446603
Cite this video as: Darrigol, Olivier (2013). Lagrange's research on the nature and propagation of sound. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18446603
URI : http://dx.doi.org/10.24350/CIRM.V.18446603

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