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

L’Hôpital's Analyse des infiniments petits (eBook, PDF)

An Annotated Translation with Source Material by Johann Bernoulli

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer International Publishing
• Erscheinungstermin: 20. Juli 2015
• Englisch
• ISBN-13: 9783319171159
• Artikelnr.: 43793485

Inhaltsangabe

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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.

Rezensionen

"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)