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Convergence articles

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Cantor's work on Fourier series provides historical motivation for the study of point-set topology.
Information on previous ESUs
This is a page from a manuscript of the Algebra (Maqalah fi al-jabra wa-al muqabalah) of Omar Khayyam (1048-1131). This work is known for its solution of the various cases of the cubic equation by finding the intersections of appropriately chosen conic sections.
A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.
The sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.
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?
A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more.
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
Two officers each have a company of men, the one has 40 less than the other.
Images from a 16th century text about the astrolabe and its uses