L'Hôpital's Analyse des infiniments petits / Science Networks. Historical Studies Bd.50 (PDF)

Name: L'Hôpital's Analyse des infiniments petits / Science Networks. Historical Studies Bd.50
Brand: Springer-Verlag GmbH
SKU: 69907625
Price: 128.39 EUR
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An Annotated Translation with Source Material by Johann Bernoulli (Sprache: Englisch)

Autoren: Robert E Bradley , Salvatore J. Petrilli , C. Edward Sandifer

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L'Hôpital's Analyse des infiniments petits / Science Networks. Historical Studies Bd.50, Robert E Bradley, Salvatore J. Petrilli, C. Edward Sandifer

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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.

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Bibliographische Angaben

Autoren: Robert E Bradley , Salvatore J. Petrilli , C. Edward Sandifer
2015, 1st ed. 2015, 311 Seiten, Englisch
Verlag: Springer-Verlag GmbH
ISBN-10: 3319171151
ISBN-13: 9783319171159
Erscheinungsdatum: 20.07.2015

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Englisch

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“The Analyse des Infiniment Petits (Analysis of theInfinitely Small) treated the differential calculus as a tool ‘for theunderstanding of curved lines.’ … The result is a truly valuable book: here isthe original calculus textbook, with the sources on which it was based,presented in English with an excellent introduction that makes it much easierto follow what is going on. This one is not to be missed!” (Fernando Q. Gouvêa,MAA Reviews, September, 2015)

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