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Convergence articles

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Our reviewer praises the selection of excerpts, the use of facsimiles rather than transcriptions, and the commentary and English translation in this collection.

A new history of mathematics text which asks lots of questions about the history and the mathematics.
This is the title page of the Treatise of Algebra (1685), by John Wallis. This is probably the first attempt at a history of the subject of algebra, presented in the context of a text on the subject. Among the most famous parts of this treatise is Wallis's discussion of the work of Thomas Harriot, especially his contention that Rene Descartes plagiarized Harriot's symbolization procedure in algebra.
The purchase price for an apple and an orange is 100 yen. When n oranges and n + 3 apples are bought the price is 520 yen. Find the number n of oranges and the price of one orange.
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
In Archimedes' Book of Lemmas (ca 250), he introduces a figure that, due to its shape, has historically been known as "the shoemaker's knife" or arbelos.
A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.
What is the sum of the reciprocals of the triangular numbers?
The number 50 is divided by a certain number. If the divisor is increased by 3, the quotient decreases by 3.75. What is the number?
The most popular and authoritative arithmetic book in late 17th and 18th century England, it stayed in print for 100 years.

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