In 1831, with the publication of her translation of Laplace's Mécanique Céleste, Mary Somerville (1780–1872) solidified her reputation throughout Western Europe as a highly proficient mathematician, and an expert in ‘French analysis’. To shed light on her preliminary studies, we here examine Somerville's earliest known mathematical work, namely her published and unpublished solutions to questions posed in the New Series of the Mathematical Repository, alongside her contemporary correspondence with mathematicians John and William Wallace. These submissions demonstrate her active engagement in the circulation of the differential calculus twenty years earlier than previously appreciated. Résumé En 1831, à travers la publication de sa traduction de la Mécanique Céleste de Laplace, Mary Somerville (1780–1872) consolida de par l'Europe sa réputation en tant que mathématicienne talentueuse et experte de l' “Analyse Française”. Afin d'apporter un éclairage nouveau sur ses études antérieures à cette publication, nous nous proposons d'étudier ici les tout premiers travaux mathématiques connus de Somerville, à savoir ses solutions (publiées ou non) à des questions posées dans les New Series of the Mathematical Repository, ainsi que sa correspondance en parallèle avec les mathématiciens John et William Wallace. Ces solutions montrent son implication active dans la circulation du calcul différentiel vingt ans avant sa traduction de Laplace.
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