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History of Calculus in Egypt, Greece, and India

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Emily Illar

on 14 June 2010

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Transcript of History of Calculus in Egypt, Greece, and India

The History of Calculus
In Egypt, Greece, and India
By Emily and Scuba Egypt Greece India The Moscow Mathematical Papyrus: The papyrus was a set of 25 hitherto unsolved problems. The two most notable problems were the tenth and fourteenth. Alhazen This Egyptian astronomer/physicist/ mathematician/philosopher developed analytical geometry. Archimedes Eudoxus Established the three laws of ratios that can be used
for real and irrational numbers.
If for a, b, c, and d where ab=cd
If ma=nb then mc=nd
If ma>nb then mc>nd
If ma<nb then mc<nd
Figured out the "Method of Exhaustion"
to approximate the area of a shape or the find the area under the curve of a parabola. Arybhata Figured out the formula for the sum
of cubes, which made finding the volume
of a cube possible. He also devleloped the form for a basic differential equation. Bhaskara II In the twelfth century, he developed the concept of a derivative. Parameshvara Developed an early version of the mean value theorem So...was it calculus? In some ways, yes. The ancient discoveries of the Indians, Greeks, and Egyptians certainly bear resemblence to both integral and differential calculus. In other ways, no. Although their calculations resembled modern calculus, they didn't use themethods we do. For example: although they could find the area of shapes, it certainly wasn't integrating, and their formulas (rather than equations) left room for error.
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