God, King, and Geometry: Revisiting the Introduction to Cauchy's Cours d'Analyse

作者: Michael J. Barany

DOI: 10.1016/J.HM.2010.12.001

关键词: GeometryMathematicsCours d'AnalyseClose readingCauchy distribution

摘要: This article offers a systematic reading of the introduction to Augustin-Louis Cauchy’s landmark 1821 mathematical textbook, Cours d’analyse. Despite its emblematic status in history analysis and, indeed, modern mathematics as whole, has been more source for suggestive quotations than an object study own right. short metatext rich snapshot scholarly paradigm transition. A close writing reveals complex modalities author’s epistemic positioning, particularly with respect geometric quantities space, he struggles refound discipline on which staked his young career.

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