Johann Bernoulli's first lecture from the first integral calculus textbook ever written: an annotated translation

• Giovanni Mingari Scarpello ^[2] ; Daniele Ritell ^[1]
  1. [1] University of Bologna

     University of Bologna

     Bolonia, Italia

     
  2. [2] Via Negroli 6
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 50, Nº. 6, 2019, págs. 839-855
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • When Johann Bernoulli published his lectures on integrals in 1742, integral calculus had become very advanced since the time of their composition in 1692. Nevertheless, these lectures are of excellent clarity and simplicity even when the book deals with major problems of Mathematical Physics. Just to pique some interest, we offer a commented translation of the first lecture and some general information about the whole treatise. In his introductory lecture, Johann Bernoulli develops many examples of how the integration of polynomials could lead to the integration of radicals and then provides some relevant changes of variables.