Crash when Solve for Integral with 15C
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09-08-2017, 02:57 PM
Post: #77
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RE: Crash when Solve for Integral with 15C
ALL
I found the book L’Hôpital's Analyse des infiniments petits … [attachment=5161] … to be VERY interesting & EDIFYING with respect to the underlying foundation/basis of the Calculus. from the preface: "The Analyse consists of ten chapters, which L’Hôpital called “sections.” We consider it to have three parts. The first part, an introduction to the differential calculus, consists of the first four chapters: 1. In which we give the Rules of this calculus. 2. Use of the differential calculus for finding the Tangents of all kinds of curved lines. 3. Use of the differential calculus for finding the greatest and the least ordinates, to which are reduced questions De maximis & minimis. 4. Use of the differential calculus for finding inflection points and cusps. Taken together, these chapters provide a thorough introduction to the differential calculus in about 70 pages. The next five chapters are devoted to what can only be described as an advanced text on differential geometry, motivated in part by what were then cutting-edge research problems in optics and other fields. The final chapter is mildly polemical, demonstrating the superiority of Leibniz’ new calculus, when compared to the methods of René Descartes (1596–1660) and Johann van Waveren Hudde (1628–1704)." BEST! SlideRule |
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