The legacy of the geometric tradition in Leibniz's infinitesimal calculus (Q2702318)

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The legacy of the geometric tradition in Leibniz's infinitesimal calculus
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    2 April 2001
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    G. W. Leibniz
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    foundations of the calculus
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    The legacy of the geometric tradition in Leibniz's infinitesimal calculus (English)
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    The authoress reviews the genesis of the differential and integral calculus with Leibniz with special reference to the primacy of geometry. Indeed, he saw his new subjects as `geometry subject to analysis' by his new algebra and \(d\) and \(\int\); algebraic expressions were only an (important) aid to effecting the theory. She points to difficulties faced when trying to explain osculating circles and points of inflexion in geometric terms. In addition to citing the published literature by Leibniz and others she refers also to various manuscripts by him and some of his followers.NEWLINENEWLINEFor the entire collection see [Zbl 0954.00008].
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