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Author Sturm, Charles-François, 1803-1855.
Title Essays. Selections.
Collected works of Charles Francois Sturm / Jean-Claude Pont (editor) ; in collaboration with Flavia Padovani.
Imprint Basel ; Boston : Birkhauser, 2009.

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Author Sturm, Charles-François, 1803-1855.
Subject Sturm, Charles-François, 1803-1855.
Mathematics.
Alt Name Pont, Jean-Claude, Dr ès sciences mathématiques.
Padovani, Flavia.
Description 1 online resource (x, 808 pages) : illustrations
polychrome rdacc http://rdaregistry.info/termList/RDAColourContent/1003
Note Based on lectures presented at a colloquium and workshop held in Geneva in 2003, on the occasion of the 200th anniversary of the birth of Charles Francois Sturm.
Bibliography Note "Bibliographie des ouvrages de Charles Francois Sturm": pages 803-806.
"Bibliographie des principaux articles/ouvrages sure Charles Francois Sturm": pages 807-808.
Note Print version record.
Text in English and French.
Contents Charles Francois Sturm: notice biographique -- Charles Francois Sturm: notice biographique -- L'uvre algebrique de Charles Francois Sturm -- L'uvre algebrique de Charles Francois Sturm -- Charles Francois Sturm and Differential Equations -- Charles Francois Sturm and Differential Equations -- Charles Francois Sturm's Writings on Optics -- Charles Francois Sturm's Writings on Optics -- Mecanique -- Mecanique -- Compressibilite des liquides et vitesse un son -- Compressibilite des liquides et vitesse un son -- Collected Works of Charles Francois Sturm -- Solution du probleme de dynamique enonce a la page 180 du present volume -- Solution partielle du probleme de geometrie enonce a la page 288 du XIIe volume du present recueil -- Demonstration d'un theoreme de geomeirie; enonce a la page 248 du precedent volume -- Demonstration de deux theoremes de geometrie, enonces a la page 248 du XIII: volume des Annales -- Recherehes analitiques, sur une classe de problemes de geometrie dependant de la theorie des maxima et minima -- Demonstration des deux theoremes de geometrie enonces a la page 63 du present volume -- Autre demonstration du meme theoreme -- Solulion du dernier des quatre problemes de geometrie proposes a la page 304 du precedent volume -- Solution du probleme de statique enonce a la page 28 du present volume -- Addition a l'article insere a la page 286 du present volume -- Demonstration des quatre theoremes sur l'hyperbole enonces a la page 268 du precedent volume -- Recherches sur les caustiques -- Theoremes sur les polygones reguliers -- Recherches analitiques sur les polygones reclilignes plans ou gauches, renfermant la solution de plusieurs questions proposees dans le present recueil -- Recherches d'analise sur les caustiques planes -- Memoire sur les lignes du second ordre -- Memoire sur les lignes du second ordre -- Analyse d' un Memoire sur la resolution des equations numeriques -- Extrait d'un Memoire de M. Sturm, presente a l'Academie des sciences -- Note presentee a l'Acurlemie -- Extrait d'un Memoire sur L'intecration d'un systeme d'equations differentielles lineaires, presente a l'Academie des sciences -- M. Cauchy fait le Rapport suivent sur le Memoire de M. Sturm, intitule Resume d'une nouvelle theorie relative a une classe de fonctions transcendantes -- Memoire sur la resolution des equations numeriques -- Memoire Sur les Equations differentielles lineaires du second ordre -- Demonstration D'un Theoreme de M. Cauchy relatif aux racines imaginaires des Equations -- Autres demonstrations du meme Theoreme -- Memoire Sur une classe d'Equations a differences partielles -- Note sur un theoreme de M. Cauchy relatif aux racines des equations simultanees -- Extrait D'un Memoire sur le developpement des fonctions en series dont les differents termes sont assujettis a satisfaire a une meme equation differentielle lineaire, contenant un parametre variable -- Memoire sur La comperssion des liquides -- Memoire sur L'optique -- Note de M. Sturm, relative au Memoire de M. Libri insere dans le precedent Compte rendu -- Reponse de M. Libri a la Note de M. Sturm -- Memoire sur quelques propositions de mecanique rationnelle -- Note de M. Sturm, a l'occasion de l'article precedent -- Note de M. Sturm, a l'occasion de l'article, precedent -- Note Sur un Memoire de M. Chasles -- Demonstration d'un Theoreme d'algebre de M. Sylvester -- Memoire sur la theorie de la vision -- Note sur l'integration des equations generales de la dynamique -- Sur le mouvement d'un corps solide autour d'us point fixe.
Summary Charles Francois Sturm was born in Geneva, Switzerland, on September 29, 1803. He obtained his scientific education in this city and began his rich scientific career there through significant research in sound propagation and compressibility of fluids. In September of 2003, on the occasion of the 200th anniversary of his birth, his home city honoured his worldwide recognition with a colloquium and workshop under the sponsorship of the University of Geneva. This volume is based on lectures presented at that colloquium, which focused on C.F. Sturm's own work. The book contains a selection of reproductions of his scientific publications. Sturm contributed notably to geometry (theory of polygons, elementary geometry, projective geometry, conic sections), algebra, analysis (differential equations, series), optics (caustics, physiological optics), mechanics, and other areas of physics (particularly fluid mechanics and speed of sound in water). These original papers are accompanied by contributions from internationally renowned experts who have worked on and deepened understanding of many topics of interest to Sturm, in particular differential equations, optics and algebraic curves. The volume complements the book Sturm-Liouville Theory. Past and Present (ISBN 978-3-7643-7066-4) that also originates from that colloquium.
ISBN 9783764379902
3764379901
3764379898 (cloth)
9783764379896 (cloth)
OCLC # 405546179
Additional Format Print version: Sturm, Charles-Francois, 1803-1855. Essays. Selections. Collected works of Charles Francois Sturm. Basel ; Boston : Birkhauser, 2009 9783764379896 3764379898 (DLC) 2008920492 (OCoLC)148681334.