Overview
- Includes the first ever complete English translation of the first Calculus textbook
- Provides the first English translation of Johann Bernoulli's lessons in Differential Calculus
- Offers an English translation of substantial portions of the l’Hôpital-Bernoulli correspondence
- Presents a historical introduction to l'Hôpital's text and Bernoulli's lessons? ?
- Includes a 38-page preface, extensive footnoting, and cross referencing of topics
- Includes supplementary material: sn.pub/extras
Part of the book series: Science Networks. Historical Studies (SNHS, volume 50)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (13 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Reviews
“The Analyse des Infiniment Petits (Analysis of the Infinitely Small) treated the differential calculus as a tool ‘for the understanding of curved lines.’ … The result is a truly valuable book: here is the original calculus textbook, with the sources on which it was based, presented in English with an excellent introduction that makes it much easier to follow what is going on. This one is not to be missed!” (Fernando Q. Gouvêa, MAA Reviews, September, 2015)
Authors and Affiliations
Bibliographic Information
Book Title: L’Hôpital's Analyse des infiniments petits
Book Subtitle: An Annotated Translation with Source Material by Johann Bernoulli
Authors: Robert E Bradley, Salvatore J. Petrilli, C. Edward Sandifer
Series Title: Science Networks. Historical Studies
DOI: https://doi.org/10.1007/978-3-319-17115-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-17114-2Published: 30 July 2015
Softcover ISBN: 978-3-319-34494-2Published: 15 October 2016
eBook ISBN: 978-3-319-17115-9Published: 20 July 2015
Series ISSN: 1421-6329
Series E-ISSN: 2296-6080
Edition Number: 1
Number of Pages: LIV, 311
Number of Illustrations: 235 b/w illustrations, 9 illustrations in colour
Topics: History of Mathematical Sciences, Integral Equations, Differential Geometry