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OverviewFull Product DetailsAuthor: Robert E Bradley , Salvatore J. Petrilli , C. Edward SandiferPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: Softcover reprint of the original 1st ed. 2015 Volume: 50 Weight: 6.232kg ISBN: 9783319344942ISBN 10: 3319344943 Pages: 311 Publication Date: 15 October 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction.- 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.ReviewsThe 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. Gouvea, MAA Reviews, September, 2015) “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) 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. Gouvea, MAA Reviews, September, 2015) Author InformationTab Content 6Author Website:Countries AvailableAll regions |