Free Research Papers on Mathematics

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Analytic Geometry

Mathematics coursework, term papers on Mathematics, Mathematics essays
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

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Buckminster Fuller

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Condorcet

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Emilie Du Chatlet

Mathematics coursework, term papers on Mathematics, Mathematics essays
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

Mathematics coursework, term papers on Mathematics, Mathematics essays
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

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Fractals

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Infinity

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Looks Can Be Deceiving

Mathematics coursework, term papers on Mathematics, Mathematics essays
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

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Pascal`s Triangle

Mathematics coursework, term papers on Mathematics, Mathematics essays
Blasť 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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Pi Number

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Postulates And Theorems

Mathematics coursework, term papers on Mathematics, Mathematics essays
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

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Pythagorean Theorem

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Stifel And Roberval

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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Theorems

Mathematics coursework, term papers on Mathematics, Mathematics essays
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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