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Index of Classic Plane Curves and Surfaces

Alphabetical list of well-known curves from Apple of Discord (Cycloid) and Astroid to Wankel's Engine (Reuleaux Polygons) and Witch of Agnesi, with graphs, equations, interesting facts, and histor

History of Calculus

Leibniz's Rules for the Derivative

Leibniz: First Published Rules for the Derivative: Images of the first appearances of the Product and Quotient Rules in print in an article by Leibniz in a 1684 issue of the journal Acta Eruditoru

History of Calculus

What is \(0^{0}\)?

The expression \(0^0\) is usually called an indeterminate form.

History of Calculus, One-Variable Calculus

The Sagacity of Circles: A History of the Isoperimetric Problem

A summary of the history of the problem of finding the region of greatest area bounded by a given perimeter, from Zenodorus and Pappus to Jakob Steiner (one page each).

History of Calculus, One-Variable Calculus

Kepler: The Volume of a Wine Barrel

History of Calculus, One-Variable Calculus

Archimedes' Method for Computing Areas and Volumes

Archimedes' computation of circle area and his use of the Law of the Lever to compute volumes of cones, cylinders, spheres, and paraboloids in his Method, explored using interactive Java ap

History of Calculus, One-Variable Calculus

Napier's \(e\)

Essay giving history of the number \(e\) and logarithms, with focus on why we use "\(e\)" to represent the base of the natural logarithm.

History of Calculus, One-Variable Calculus

The Immortal L'Hospital

Essay giving very brief biography of l'Hospital, the history of his and Johann Bernoulli's rule, and a slightly modernized diagram for and version of the proof he and Bernoulli gave.

History of Calculus

Timeline of Calculus History

Timeline of contributors to formulation of the Calculus with biographies: Click on the historical figure's image to see his biography and two links to further online information.

History of Calculus

Properties of the Graph of the Second Derivative

This maplet runs from a server via MapleNet and does not require the user to have Maple installed.

Differentiation: General Applications, One-Variable Calculus, Differentiation: Definition and Elementary Application