Titlebook: L’Hôpital‘s Analyse des infiniments petits; An Annotated Transla Robert E Bradley,Salvatore J. Petrilli,C. Edward S Book 2015 Springer Inte

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The Solution of Several Problems That Depend upon the Previous Methods,in Chapters .–. This chapter begins with the celebrated theorem that now goes by the name L’Hôpital’s Rule. This rule is actually due to Bernoulli, and the version given here only covers the case in which . takes the indeterminate form . at a finite value of .. Much of the rest of the chapter is taken up with a study of the epicycloid.

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Use of the Differential Calculus for Finding Inflection Points and Cusps,are nevertheless useful in this and subsequent chapters for describing certain curves. L’Hôpital finds the inflection points of the prolate cycloid, the Conchoid of Nicomedes and of a curve that is essentially the same as the “Witch of Agnesi.”

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,Selected Letters from the Correspondence Between the Marquis de L’Hôpital and Johann Bernoulli,he rights to publish some of Bernoulli’s discoveries. There is also the letter of July 22, 1694, where L’Hôpital’s Rule appears for the first time. There are also many details of a personal or professional nature that illuminate the complex friendship between these two men.