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Convergence articles

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Servois' 1814 Essay on a New Method of Exposition of the Principles of Differential Calculus, with an English Translation

A study and English translation of Servois' attempt to place calculus on a foundation of algebraic analysis without recourse to infinitesimals, continuing the work of Lagrange.

A Tree with Branches, Nests, Eggs and Birds

There is a tree with 100 branches. How many nests, eggs and birds are there?

Mathematical Expeditions

A collection of original texts to help students learn some important areas of mathematics.

What Are the Odds?

Suppose that the probability of success in an experiment is a/(a+b). How many trials of the experiment are necessary to insure even odds on it happening at least once?

An Acute Problem

Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the length of those sides.

Fibonacci and Square Numbers

A discussion of aspects of Leonardo of Pisa's Book of Squares.

Height of the Lighthouse

Suppose a lighthouse is built on the top of a rock; the distance between a place of observation and that part of the rock level with the eye is 620 yds.

Who's That Mathematician? Images from the Paul R. Halmos Photograph Collection
Page 4: Images of Jose Barria, Paul Halmos, Robert Bartle, Marshall Stone, Hyman Bass, and Joseph Bastian from the Halmos snapshot collection
Benjamin Banneker's Inscribed Equilateral Triangle

An interesting problem from Banneker's notebook as well as other problems to use with students.

Jacob Kobel's Geometry
This is the title page of the geometry book of Jacob Kobel (1460 - 1533). The book dealt primarily with measurement, showing its readers how to use various instruments to measure fields, determine heights of buildings, and perform various other necessary tasks.

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