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L’Hôpital's Analyse des infiniments petits

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Cover of 'L’Hôpital's Analyse des infiniments petits'

Table of Contents

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    Book Overview
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    Chapter 1 In Which We Give the Rules of This Calculus
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    Chapter 2 Use of the Differential Calculus for Finding the Tangents of All Kinds of Curved Lines
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    Chapter 3 Use of the Differential Calculus for Finding the Greatest And the Least Ordinates, to Which Are Reduced Questions De Maximis & Minimis
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    Chapter 4 Use of the Differential Calculus for Finding Inflection Points and Cusps
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    Chapter 5 Use of the Differential Calculus for Finding Evolutes
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    Chapter 6 Use of the Differential Calculus for Finding Caustics by Reflection
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    Chapter 7 Use of the Differential Calculus for Finding Caustics by Refraction
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    Chapter 8 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
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    Chapter 9 The Solution of Several Problems That Depend upon the Previous Methods
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    Chapter 10 A New Method for Using the Differential Calculus with Geometric Curves, from Which We Deduce the Method of Messrs. Descartes and Hudde
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    Chapter 11 Bernoulli’s Lectiones de Calculo Differentialis
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    Chapter 12 Selected Letters from the Correspondence Between the Marquis de L’Hôpital and Johann Bernoulli
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    Chapter 13 Fontenelle’s Eulogy for the Marquis de L’Hôpital
Attention for Chapter 3: Use of the Differential Calculus for Finding the Greatest And the Least Ordinates, to Which Are Reduced Questions De Maximis & Minimis
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Chapter title
Use of the Differential Calculus for Finding the Greatest And the Least Ordinates, to Which Are Reduced Questions De Maximis & Minimis
Chapter number 3
Book title
L’Hôpital's Analyse des infiniments petits
Published in
Science Networks. Historical Studies, January 2015
DOI 10.1007/978-3-319-17115-9_3
Book ISBNs
978-3-31-917114-2, 978-3-31-917115-9
Authors

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

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