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Convergence articles

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Poster of Banneker, with a brief description of his life and work.
Chuquet claimed that if given positive numbers a, b, c, d then (a + b) / (c + d) lies between a/c and b/d. Is he correct? Prove your answer
Howard Eves' sixth edition is still worth considering for a textbook.

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.

Of a collection of mango fruits, the king took 1/6; the queen 1/5 the remainder, and the three princes took 1/4, 1/3 and 1/2 (of the same remainder); and the youngest child took the remaining 3 mangoes.

An excellent and careful study of matrix methods for solving systems of linear equations in first century China.

Simpson's methods for finding maxima and minima are explored by using examples from his "Doctrine and Application of Fluxions." Many of his techniques could be used in today's classroom.
A collection of short lectures by Howard Eves giving details on 20 important happenings in the history of mathematics before 1650.
Photo of Plimpton 322, an old Babylonian Tablet, from the Plimpton Collection at the Columbia University Library. Part of the Mathematical Treasures section of Loci: Convergence.

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