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L'hôpital's analyse des infiniments petits [electronic resource] : an annotated translation with source material by Johann Bernoulli / Robert E. Bradley, Salvatore J. Petrilli, C. Edward Sandifer.

Bernoulli, Jean, 1667-1748, author.; Bradley, Robert E., author.; Petrilli, Salvatore J., author.; Sandifer, Charles Edward, 1951- author.
2015
QA21
Available Online
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Title
L'hôpital's analyse des infiniments petits [electronic resource] : an annotated translation with source material by Johann Bernoulli / Robert E. Bradley, Salvatore J. Petrilli, C. Edward Sandifer.
Author
Bernoulli, Jean, 1667-1748, author.
Uniform Title
Hôpital's analyse des infiniments petits. English
ISBN
9783319171159 electronic book
3319171151 electronic book
9783319171142
3319171143
Published
Cham : Birkhäuser, [2015]
Copyright
©2015
Language
English
Description
1 online resource (299 pages) : illustrations.
Call Number
QA21
Dewey Decimal Classification
510.9
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Description based on print version record.
Added Author
Bradley, Robert E., author.
Petrilli, Salvatore J., author.
Sandifer, Charles Edward, 1951- author.
Series
Science networks historical studies ; v.50.
Available in Other Form
L'Hopital's Analyse des infiniments petits.
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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.

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