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When Integrals Hide Curves

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

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.

Keywords

  • Rational Function
  • Polynomial Equation
  • Function Choice
  • Stereographical Projection
  • Algebraic Function

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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© 2016 Springer International Publishing Switzerland

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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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