Free Research Papers on Mathematics
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Analytic geometry was brought fourth by the famous French mathematician Rene'
Descartes in 1637. Descartes did not start his studying and working with
geometry until after he had retired out of the army and settled down. If not for
Descartes great discovery then Sir Isaac Newton might not have ever invented the
concept of calculus. Descartes concept let to calculus and Newton and G.W.
Leibniz wou... Full-text essay
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Archimedes was born in 287 BC in Syracuse, a Greek seaport colony in Sicily.
Archimedes’ father was Phidias. He was an astronomer; this is all we know
about his father and we learn this from Archimedes’ work, The Sandreckoner.
Archimedes was educated in Alexandria, Egypt. Archimedes’ friend, Heracleides,
wrote a biography about him, but this work was lost. Some authors report that he
visited Egyp... Full-text essay
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Richard Buckminster Fuller was an enginer, mathemitican, and an architect. Twice
expelled from Harvard University, buisiness disasters and the death of his four
year old daughter brought him close to suicide. He decided to devote his life to
proving that technology could save the world from itsself, providing it is
properly used. He examined a vertorial system of geometry, Energetic-Synergetic
ge... Full-text essay
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Marie Jean Antoine Nicolas de Caritat, better known as Marquis de Condorcet, was
born in Ribemont, Paris. He studied at Jesuit schools and the college de Navarre
and later became a French philosppher, political leader, and mathmatician. He
published a book titled Essai sur le calcul integral and in 1769 he was elected
to the Academie des Sciences. He was very fasinated by probality and the
philos... Full-text essay
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Born in Paris on December 17, 1706, Emilie du Chatlet grew up in a household
where the art of courting was the only way one could recieve a place in society.
During her early childhood, Emilie began to show great improvement in the area
of academics that soon she was able to convince her father that she needed
attention. She studied Latin, Italian and English. She also studied Tasso,
Virgil, Milt... Full-text essay
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Eratosthenes was born in Cyrene which is now in Libya in North Africa. His
teachers included the scholar Lysanias of Cyrene and the philosopher Ariston of
Chios who had studied under Zeno, the founder of the Stoic school of philosophy.
Eratosthenes also studied under the poet and scholar Callimachus who had also
been born in Cyrene. Eratosthenes then spent some years studying in Athens. The
libra... Full-text essay
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Euclid is one of the most influential and best read mathematician of all time.
His prize work, Elements, was the textbook of elementary geometry and logic up
to the early twentieth century. For his work in the field, he is known as the
father of geometry and is considered one of the great Greek mathematicians. Very
little is known about the life of Euclid. Both the dates and places of his birth
a... Full-text essay
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The videotape "Fractals" was narrated by a writer of science fiction,
R.C. Clark, who is the creator of 2001 Space Odessy. Individuals interviewed,
experts on the subject included professor Stuart, Dr. Michael Barnsley, Steven
Hawkins, author of A Brief History in Time, and creator of the Mandelbrot set,
Dr. Benoit Mandlebrot. These men introduced us to their insight of fractals,
provid... Full-text essay
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Most everyone is familiar with the infinity symbol, the one that looks like the
number eight tipped over on its side. Infinity sometimes crops up in everyday
speech as a superlative form of the word many. But how many is infinitely many?
How big is infinity? Does infinity really exist? You can't count to infinity.
Yet we are comfortable with the idea that there are infinitely many numbers to
coun... Full-text essay
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Paradoxes are sometimes composed of contradictory ideas presented together,
ultimately leading to an unworkable situation. Paradoxes, however, are not
simply ambiguous questions. Paradoxes are the essence of the inherent complexity
of systems (Internet 1). Each paradox must be analyzed and clearly understood
before it can be explained. Since mathematics is, in a sense, a universal
language, certa... Full-text essay
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Modular arithmetic can be used to compute exactly, at low cost, a set of simple
computations. These include most geometric predicates, that need to be checked
exactly, and especially, the sign of determinants and more general polynomial
expressions. Modular arithmetic resides on the Chinese Remainder Theorem, which
states that, when computing an integer expression, you only have to compute it
mod... Full-text essay
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Blasé Pacal was born in France in 1623. He was a child prodigy and was
fascinated by mathematics. When Pascal was 19 he invented the first calculating
machine that actually worked. Many other people had tried to do the same but did
not succeed. One of the topics that deeply interested him was the likelihood of
an event happening (probability). This interest came to Pascal from a gambler
who asked... Full-text essay
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A little known verse in the bible reads “And he made a molten sea, ten cubits
from the one brim to the other; it was round all about, and his height was five
cubits; and a line of thirty cubits did compass it about (I Kings 7, 23).”
This passage from the bible demonstrates the ancient nature of the irrational
number pi. Pi in fact is mentioned in a number of verses throughout the bible.
In II Chr... Full-text essay
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P1-Ruler Postulate. P2-seg. add. postulate. P3-Protractor postulate. P4-angle
add. postulate. P5- A line contains at least two points; a plane contains at
least 3 points not all in one line; space contains at least 4 pints not all in
one plane. P6- Through any 2 points their is excatly 1 line. P7-Through any 3
points there is at least one plane , and through any three noncollinear points
there is... Full-text essay
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Pythagoras of Samos is often described as the first pure mathematician. He is an
extremely important figure in the development of mathematics yet we know
relatively little about his mathematical achievements. Unlike many later Greek
mathematicians, where at least we have some of the books which they wrote, we
have nothing of Pythagoras's writings. The society which he led, half religious
and half... Full-text essay
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The Pythagorean Theorem is a geometrical expression used often in math and
physics. It used to 2 2 2 find the unknown side of a right triangle. The
exponential form of this theorem a + b = c . That is the equation you use when
you are looking for the unknown side of a right triangle, and it is what I’ll
demonstrate on the attached exhibit. The upside down capital L in the bottom of
the left hand ... Full-text essay
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Michael Stifel was a German mathematician who lived in the late fifteenth
century and early to mid-sixteenth century. He was born in 1487, in Esslingen,
Germany. The exact date of his birth is unknown. Stifel died on April 19, 1567,
in Jena, Germany. His father was Conrad Stifel, a well-respected member of the
community. When Michael was young his family did not have much money. Not much
is known... Full-text essay
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Postulate1-3--given AB and a # r between 0 and 180, there is exactly one ray w/
endpoint A, extending on each side of AB, such that the measure of the angle
formed is r postulate1-4--if r is in the interior of pqs, then Mpqr+Mrqs=Mpqs.if
Mpqr+Mrqs then R is in thr interior of angle pqs postulate 2-2--through any 3
points not on the same line there is exactly one plane law of detachment--if
P--*Q ... Full-text essay
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