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Term Papers on Carl Friedrich Gauss

Term Paper TitleCarl Friedrich Gauss
# of Words651
# of Pages (250 words per page double spaced)2.6

Carl Friedrich Gauss


     Carl Friedrich Gauss was a German mathematician and scientist who
dominated the mathematical community during and after his lifetime. His
outstanding work includes the discovery of the method of least squares, the
discovery of non-Euclidean geometry, and important contributions to the theory
of numbers.
     Born in Brunswick, Germany, on April 30, 1777, Johann Friedrich Carl
Gauss showed early and unmistakable signs of being an extraordinary youth. As a
child prodigy, he was self taught in the fields of reading and arithmetic.
Recognizing his talent, his youthful studies were accelerated by the Duke of
Brunswick in 1792 when he was provided with a stipend to allow him to pursue his
education.
     In 1795, he continued his mathematical studies at the University of Gö
ttingen. In 1799, he obtained his doctorate in absentia from the University of
Helmstedt, for providing the first reasonably complete proof of what is now
called the fundamental theorem of algebra. He stated that: Any polynomial with
real coefficients can be factored into the product of real linear and/or real
quadratic factors.
     At the age of 24, he published Disquisitiones arithmeticae, in which he
formulated systematic and widely influential concepts and methods of number
theory -- dealing with the relationships and properties of integers. This book
set the pattern for many future research and won Gauss major recognition among
mathematicians. Using number theory, Gauss proposed an algebraic solution to the
geometric problem of creating a polygon of n sides. Gauss proved the possibility
by constructing a regular 17 sided polygon into a circle using only a straight
edge and compass.
     Barely 30 years old, already having made landmark discoveries in
geometry, algebra, and number theory Gauss was appointed director of the
Observatory at Göttingen. In 1801, Gauss turned his attention to astronomy and
applied his computational skills to develop a technique for calculating orbital
components for celestial bodies, including the asteroid Ceres. His methods,
which he describes in his book Theoria Motus Corporum Coelestium, are still in
use today. Although Gauss made valuable contributions to both theoretical and
practical astronomy, his princi...

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