Abstract In 1831, with the publication of her translation of Laplace's Mecanique Celeste, 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on her preliminary studies, we here examine Somerville's earliest known mathematical work, namely her published and unpublished solutions to questions posed in the New Series of the Mathematical Repository, alongside her contemporary correspondence with mathematicians John and William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.

中文翻译：

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Mary Somerville 对微积分传播的早期贡献

摘要 1831 年，玛丽·萨默维尔 (Mary Somerville，1780-1872 年) 翻译了拉普拉斯 (Laplace) 的《天体力学》(Mecanique Celeste)，在西欧巩固了她作为精通数学家和“法国分析”专家的声誉。为了阐明她的初步研究，我们在这里检查了萨默维尔最早的已知数学著作，即她对数学知识库新系列中提出的问题的已发表和未发表的解决方案，以及她与数学家约翰和威廉华莱士的当代通信。这些提交的材料表明，她比以前认为的要早 20 年积极参与微积分的传播。