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Indispensable for understanding Henri Poincaré's vast activity in the mathematical sciences. Provides new sources revealing Poincaré's involvement as president of the'Commission permanente du Répertoire bibliographique des sciences mathématiques'as an actor in the'Dreyfus Affair,'and on his links with the editors of the major mathematical journals.The letters, many of which are unpublished, are fully annotated with an emphasis on the academic, cultural and technical contexts. An introduction underlines the lessons that can be drawn from the reading of these correspondences on Poincaré's position in the mathematical and academic communities. Three indexes facilitate the reading.Le volume de la correspondance de Poincaré consacré à ses échanges avec les mathématiciens permet de suivre son investissement dans le champ des sciences mathématiques de ses débuts comme étudiant brillant et prometteur préparant une thèse jusqu'à ses derniers jours, où devenu une icone pourla communauté mathématique depuis de longues années, sa correspondance traduit autant son activité dans la recherche que son implication dans les questions académiques, institutionnelles et organisationnelles. Les questions liées à la théorie des équations différentielles et l'entreprise du Répertoire bibliographique des sciences mathématiques ont suscité une activité épistolaire particulièrement sensible par le nombre de lettres qui y font allusion et par la diversité des correspondants qui abordent les questions de bibliographie mathématique. Les correspondances sont aussi l'occasion de multiples partages d'informations mathématiques, académiques et éditoriales.

Charles François 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).