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When Integrals Hide Curves

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What is the Genus?

Part of the book series: Lecture Notes in Mathematics ((HISTORYMS,volume 2162))

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Abstract

In the two previous chapters we dealt with curves and the polynomials defining them or the mechanisms generating them. Those curves often represented incarnations of problems involving polynomial equations, with one or more variables.

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Notes

  1. 1.

    Incidentally, the term “function” was introduced in this context by Leibniz.

References

  1. J. Bernoulli, Lectiones Mathematicae de Methodu Integralium, aliisque, conscriptae in usum Ill. Marchionis Hospitalii cum Auctor Parisiis ageret Annis 1691 et 1692, in Opera Omnia, vol. III (Lausannae et Genevae, Bousquet, 1742). Reprinted by (Georg Olms Verlag, Hildesheim, 1968), pp. 386–558

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  2. C. Houzel, La géométrie algébrique. Recherches historiques. (Librairie Scientifique et Technique A. Blanchard, Paris, 2002)

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  3. A. Weil, Sur les origines de la géométrie algébrique. Comput. Math. 44, 395–406 (1981)

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Popescu-Pampu, P. (2016). When Integrals Hide Curves. In: What is the Genus?. Lecture Notes in Mathematics(), vol 2162. Springer, Cham. https://doi.org/10.1007/978-3-319-42312-8_4

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