Poisson's fundamental theorem of calculus via Taylor's formula

• P. Nystedt ^[1]
  1. [1] University West

     University West

     Suecia

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 51, Nº. 5, 2020, págs. 799-805
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We use Taylor’s formula with Lagrange remainder to make a modern adaptation of Poisson’s proof of a version of the fundamental theorem of calculus in the case when the integral is defined by Euler sums, that is Riemann sums with left endpoints which are equally spaced. We discuss potential benefits for such an approach in basic calculus courses.