F Nous contacter


Post-edited Lagrange's research on the nature and propagation of sound

Auteurs : Darrigol, Olivier (Auteur de la Conférence)
CIRM (Editeur )

Loading the player...
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

Résumé : 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

Codes MSC :
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)

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 20/01/14
    Date de captation : 18/10/13
    Collection : Special events ; Lagrange Days
    Format : QuickTime (.mov) Durée : 00:48:25
    Domaine : History of Mathematics ; Mathematical Physics ; Analyse & Applications ; PDE
    Audience : Chercheurs ; Doctorants , Post - Doctorants ; Etudiants Science Cycle 2
Informations sur la rencontre

Nom du congrès : Lagrange Days / Journées Lagrange
Organisteurs Congrès : Benzoni-Gavage, Sylvie ; Jouve, Guillaume
Dates : 18/10/13 - 19/10/13
Année de la rencontre : 2013
URL Congrès : 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