L’Hôpital's Analyse des infiniments petits An Annotated Translation with Source Material by Johann Bernoulli /

• Κύριοι συγγραφείς: Bradley, Robert E. (Συγγραφέας), Petrilli, Salvatore J. (Συγγραφέας), Sandifer, C. Edward (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Σειρά: Science Networks. Historical Studies, 50
• Θέματα: Mathematics.; Integral equations.; Differential geometry.; History.; History of Mathematical Sciences.; Integral Equations.; Differential Geometry.

This monograph is an annotated translation of what is considered to be the world’s first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l’Hôpital in 1691-2 by the great Swiss mathem...

Πίνακας περιεχομένων:

• 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.