rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: L’Hôpital's Analyse des infiniments petits
    sub title: An Annotated Translation with Source Material by Johann Bernoulli
  name:
    name part: Bradley, Robert E.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Petrilli, Salvatore J.
    role:
      role term: author.
  name:
    name part: Sandifer, C. Edward.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2015
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: LIV, 311 p. 244 illus., 9 illus. in color. online resource.
  abstract: This monograph is an annotated translation of what is considered to be the world’s 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’Hôpital in 1691-2 by the great Swiss mathematician, Johann Bernoulli. In the 1920s, a copy of Bernoulli’s lecture notes was discovered in a library in Basel, which presented the opportunity to compare Bernoulli’s notes, in Latin, to l’Hôpital’s text in French. The similarities are remarkable, but there is also much in l’Hôpital’s 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’Hôpital’s text, complete with annotations and commentary. Additionally, a significant portion of the correspondence between l’Hôpital 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’s ideas and l’Hôpital’s 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’Hôpital and his teacher, Johann Bernoulli.
  table of contents: Introduction -- L'Hôpital's Preface -- In Which We Give the Rules of this Calculus -- Use of the Differential Calculus for Finding the Tangents of All Kinds of Curved Lines -- Use of the Differential Calculus for Finding the Greatest and the Least Ordinates, to Which are Reduced Questions De maximis & minimis -- Use of the Differential Calculus for Finding Inflection Points and Cusps -- Use of the Differential Calculus for Finding Caustics by Reflection -- Use of the Differential Calculus for Finding Caustics by Refraction -- Use of the Differential Calculus for Finding the Points of Curved Lines that Touch an Infinity of Lines Given in Position, Whether Straight or Curved -- The Solution of Several Problems that Depend Upon the Previous Methods -- A New Method for Using the Differential Calculus with Geometric Curves, from Which we Deduce the Method of Messrs, Descartes, and Hudde -- Appendices.
  note: by Robert E Bradley, Salvatore J. Petrilli, C. Edward Sandifer.
  subject:
    topic: Mathematics
  subject:
    topic: Integral equations
  subject:
    topic: Differential geometry
  subject:
    topic: History
  subject:
    topic: Mathematics
  subject:
    topic: History of Mathematical Sciences
  subject:
    topic: Integral Equations
  subject:
    topic: Differential Geometry
  classification: QA21-27
  classification: 510.9
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Science Networks. Historical Studies, 50
  identifier: 9783319171159
  identifier: http://dx.doi.org/10.1007/978-3-319-17115-9
  record info:
    record creation date: 150720
    record change date: 20151215151344.0
    record identifier: 978-3-319-17115-9