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Mathematical Works Printed in the Americas, 1554-1700

A bibliographical reference to mathematics books printed in the new world before 1700. Read more

The Mathematics of the Heavens and the Earth

A comprehensive history of trigonometry from ancient times to the Renaissance. Read more

Mathematics in India

A survey of over two thousand years of the history of mathematics on the Indian subcontinent. Read more

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Problem from another time...

Faster than a Speeding Horse

A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
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Loci: Convergence

Welcome to Convergence! This section of Loci offers a wealth of resources to help you teach mathematics using its history. Please check back regularly for new articles, look at all the archived articles in What's in Convergence?, and send us your comments and suggestions. As of July 1, 2009, the editors of this section are Janet Beery and Kathy Clark. The founding editors, Victor Katz and Frank Swetz, continue to be involved, mostly in the expansion of Mathematical Treasures.

On this day:
Nov 7th
1631Pierre Gassendi observes the ...
1940"Galloping Gertie," suspensio...
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Calendar

Meetings & events dealing with the History of Mathematics

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Today's Quotation

Littlewood, J. E. (1885 -1977)

It is true that I should have been surprised in the past to learn that Professor Hardy had joined the Oxford Group. But one could not say the adverse chance was 1:10. Mathematics is a dangerous profession; an appreciable proportion of us go mad, and then this particular event would be quite likely.

A Mathematician's Miscellany, Methuen and Co. ltd., 1953.

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Illustrations

 

This is the title page of Johannes Kepler’s Astronomia Nova published in Linz in 1609. In translation its full title reads “New Astronomy based upon Causes  or Celestial Physics". Further clarification is also added, “Treated by means of commentaries on the Motion of the Star Mar, from observations of Tycho Brahe, Gent.” Thus using Tycho Brahe’s data, Kepler focused  work on the orbit of Mars. His ten year investigation led him to conclude that the orbit of Mars was not a circle but another conic section, an ellipse. In this book he substantiates and formulates two of his laws:

                                        1. Planets orbit the sun on elliptical paths.

                                        2. The sun serves as one focus of these ellipses.

Featured Items:

Mathematical Treasures

A collection of images from the George Arthur Plimpton and David Eugene Smith Collections of Mathematical Materials in the Columbia University Library.
 

HOM SIGMAA 2009 Award Winners

These are the winning entries from the annual History of Mathematics SIGMAA Student Paper Contest.

"In these numbers we use no fractions": A Classroom Module on Stevin's Decimal Numbers

After completing this assignment on Simon Stevin's treatment of decimal fractions in his 1585 De Thiende, the author's preservice mathematics teachers understood why our usual procedure for multiplying such fractions works.
 

The Classic Greek Ladder and Newton's Method

Greek ladders for approximating square roots may be more ancient than the ancient Greeks. Students at any level can appreciate their beauty and simplicity. Those who have studied calculus can compare them with Newton's Method for approximating roots.

Sums of Powers of Positive Integers

A history of attempts to develop formulas expressing the sums of powers of the first n positive integers from the Pythagoreans to Jakob Bernoulli.
 

Investigating Euler's Polyhedral Formula Using Original Sources

The author shows how teachers can use Leonhard Euler's original works in the classroom to explore the polyhedral formula and related results.

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