English
Lagrange's research on the nature and propagation of sound
Post-edited
Auteurs : Darrigol, Olivier (Auteur de la conférence)
CIRM (Editeur )
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)
CIRM (Editeur )
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 : Lagrange - acoustics - propagation of sound - harmonic analysis - Fourier analysis - vibrating strings - organ pipes
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)
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 20/01/14 Date de Captation : 18/10/13 Collection : Special events ; Lagrange Days Catégorie arXiv : History and Overview ; Mathematical Physics ; Analysis of PDEs Domaine(s) : Histoire des Mathématiques ; Physique Mathématique ; Analyse & Applications ; EDP Format : QuickTime (.mov) Durée : 00:48:25 Audience : Chercheurs ; Etudiants Science Cycle 2 Download : https://videos.cirm-math.fr/2013-10-18_Darrigol.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Lagrange Days / Journées LagrangeOrganisateurs de la Rencontre : Benzoni-Gavage, Sylvie ; Jouve, Guillaume Dates : 18/10/13 - 19/10/13 Année de la rencontre : 2013 URL de la Rencontre : http://math.univ-lyon1.fr/homes-www/benz...
Données de citation
DOI : 10.24350/CIRM.V.18446603Citer cette vidéo: 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 |
Bibliographie
