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The Greek contribution to the Development of integral calcul

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Dina Balladares

on 28 October 2014

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Transcript of The Greek contribution to the Development of integral calcul

Start of integral calculus.

Democritus
Philosopher
Atomic theory
Atomic Theory
made up of small tiny atoms
can be cut infinite amount of times
Could not be rationalized.
Same time
Zeno
paradox about infinite halves
Archimedes
Studied volume
The volume of a sphere in a cylinder
Archimedes contribution...
The same sphere diameter as the height and width of the cylinder is 2/3 of the surface area of the cylinder.
Little bit of Paradox

Infinite amount of halves
Time
The Greek contribution to the Development of integral calculus
What is integral calculus?
Calculating areas and volumes that can be traced
more contribution..

Methods of exhaustion
Broken shape down
Found area
Area outside of Parabola
References
http://archimedeshistory.weebly.com/mathematics-and-discoveries.html
http://www.eng.utah.edu/~cs5961/Resources/calculus.pdf
http://www-history.mcs.st-and.ac.uk/Biographies/Democritus.html
http://db.math.ust.hk/articles/calculus/e_calculus.htm
All of it and more = Integral Calculus
Full transcript