L'hôpital's analyse des infiniments petits : an annotated translation with source material by Johann Bernoulli /: an annotated translation with source material by Johann Bernoulli. ([2015])

• Record Type: Book
• Uniform Title: Analyse des infiniments petits.
• Further Information: Note: Robert E. Bradley, Salvatore J. Petrilli, C. Edward Sandifer.
• Other Names: Bradley, Robert E; Petrilli, Salvatore J; Sandifer, Charles Edward, 1951-; Bernoulli, Jean, 1667-1748
• Contents: 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.
• Publisher Details: Cham : Birkhäuser
• Publication Date: 2015
• Copyright Date: 2015
• Extent: 1 online resource (299 pages), illustrations (some color)
• Subjects: 510.9; Mathematics; Mathematics -- History; Calculus -- Early works to 1800; MATHEMATICS -- Essays; MATHEMATICS -- Pre-Calculus; MATHEMATICS -- Reference; Calculus; Mathematics; Mathematics -- Mathematical Analysis; Mathematics -- Geometry -- Differential; Integral calculus & equations; Differential & Riemannian geometry; Integral equations; Global differential geometry; Mathematics -- History & Philosophy; History of mathematics; Electronic books; Early works; History; Records and correspondence; Correspondence; Correspondence
• Languages: English
• ISBNs: 9783319171159; 3319171151
• Related ISBNs: 9783319171142; 3319171143
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.