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Convergence articles

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A Discourse Concerning Algebra

A study of the rise of English algebra from the Medieval period to the end of the seventeenth century.

Leonhard Euler's Calculus of Variations
This is the title page of the first textbook in the calculus of variations, Leonhard Euler's Method of Finding Curved Lines that Show some Property of Maximum or Minimum. It was published in 1744.
Benjamin Banneker
Poster of Banneker, with a brief description of his life and work.
Numbers at Work: A Cultural Perspective

Essays on how number has been critical to the work of scientists through the ages.

Can You Really Derive Conic Formulae from a Cone?

As is the case with a great deal of interesting mathematics, the conic sections are believed to have been discovered in an attempt to solve a problem, a problem which on the surface seems to have nothing to do with conic sections.

Euler Squares

An elementary introduction to Euler squares and how they can be used in teacher training

The Equation that Couldn't Be Solved

A history of attempts to solve cubic and higher degree polynomial equations, including the notions of group theory and their relationship to the idea of symmetry.

'He Advanced Him 200 Lambs of Gold': The Pamiers Manuscript

Problems from a 15th-century French manuscript, including one with negative solutions.

Archimedes' Method for Computing Areas and Volumes-Introduction

Archimedes' use of the law of the lever to compute areas and volumes in The Method is discussed. Classroom ready examples are presented.

Niccolo Tartaglia's General Trattato di Numeri et Misure
Here is the title page of part I of the General Trattato di Numeri (General Treatise on Number and Measure) (1556) of Niccolo Tartaglia (1500-1557). This is an extensive work on elementary mathematics that was popular in Italy for several decades after its publication.

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