Paper IV
The Rise of Mathematics
Looking back in time, there are numerous interesting tools that allowed man to
progress.
Many tools were very complex while others were simple.
Mathematics is the
most sophisticated tool we have to describe the world around us.
As Bronowski stated in
his essay “The Music of the Spheres,” “Mathematics is in many ways the most elaborated
and sophisticated of the sciences” (155).
The uses of mathematics are infinite.
Number
systems used by ancient civilizations were the beginning of the mathematics we think of
today.
This consists largely of the differential and integral calculus developed by Newton
and Leibniz.
Mathematics helps us to describe everything from music to the motion of
the planets around the Sun.
One great mind after another has come along and left his or
her indelible mark on the field.
Utilizing the knowledge of mathematics, people were
able to make further advances in related fields and continue the ascent of man
(Bronowski 155).
Modern mathematics originated on the small island of Samos and it was here that
Pythagoras first applied mathematics to nature.
Pythagoras stated that “Numbers are the
language of nature” and he was determined to prove it (156).
He developed the theory
that summing the squares of the two legs of a right triangle would yield the square of the
hypotenuse.
With this fact established, man now had the tools necessary to develop
many of the shapes that gave cities their distinguishing characteristics.
Some examples
of how they utilized this include the Egyptian pyramids and the Hanging Gardens, which
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 Fall '07
 Hudgens
 Force, Inertia, Isaac Newton, Bronowski

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