• publisher: Springer International Publishing
  • creator: Bradley, Robert E., author Petrilli, Salvatore J., author Sandifer, C. Edward, author SpringerLink (Online service)
  • contributor: Petrilli, Salvatore J., author. Sandifer, C. Edward, author. SpringerLink (Online service)
  • Keyword: Mathematics. Integral equations. Global differential geometry. Mathematics. History of Mathematical Sciences. Integral equations. Geometry, Differential.
  • pages: LIV, 311 p. 244 illus., 5 illus. in color :
  • class: QA21-27
  • isbn: 9783319171159
  • description: This monograph is an annotated translation of what is considered to be the world鈥檚 first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l鈥橦么pital in 1691-2 by the great Swiss mathematician, Johann Bernoulli. In the 1920s, a copy of Bernoulli鈥檚 lecture notes was discovered in a library in Basel, which presented the opportunity to compare Bernoulli鈥檚 notes, in Latin, to l鈥橦么pital鈥檚 text in French. The similarities are remarkable, but there is also much in l鈥橦么pital鈥檚 book that is original and innovative. This book offers the first English translation of Bernoulli's notes, along with the first faithful English translation of l鈥橦么pital鈥檚 text, complete with annotations and commentary. Additionally, a significant portion of the correspondence between l鈥橦么pital and Bernoulli has been included, also for the fi rst time in English translation. This translation will provide students and researchers with direct access to Bernoulli鈥檚 ideas and l鈥橦么pital鈥檚 innovations. Both enthusiasts and scholars of the history of science and the history of mathematics will fi nd food for thought in the texts and notes of the Marquis de l鈥橦么pital and his teacher, Johann Bernoulli.
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