Mathematical Theory essay topics
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Galileo And Newton
1,236 wordsGalileo and Newton 2/4/97 Galileo believed the physical world to be bounded. He says that all material things have 'this or that shape' and are small or large in relation to other things. He also says that material objects are either in motion or at rest, touching or not touching some other body, and are either one in number, or many. The central properties of the material world are mathematical and strengthened through experimentation. Galileo excludes the properties of tastes, odors, colors, a...
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Mathematics After Johann Bernoulli
598 wordsLeonhard Euler Euler made large bounds in modern analytic geometry and trigonometry. He made decisive and formative contributions to geometry, calculus and number theory. Born: 15 April 1707 in Basel, Switzerland Died: 18 Sept 1783 in St Petersburg, Russia Introduction Euler's father wanted his son to follow him into the church and sent him to the University of Basel to prepare for the ministry. However geometry soon became his favourite subject. Euler obtained his father's consent to change to ...
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Numbers And Mathematics
505 wordsJustin Andrews Erd's Paul Erdos was born in Budapest, Hungary on march 26, 1913. He was the son of Lajos and his mother Anna Both parents were math teachers. Which is most likely where Paul received his math influence. His sisters died of scarlet fever around the time he was born this making his parents very protective of little Paul during his childhood. His mother Anna being so protective that he was kept out of school until his teens. His mother felt school was the source of childhood contagi...
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Major Greek Progress In Mathematics
2,204 wordsMathematics starts with counting. It is not reasonable, however, to suggest that early counting was mathematics. Only when some record of the counting was kept and, therefore, some representation of numbers occurred can mathematics be said to have started. In Babylonia mathematics developed from 2000 BC. Earlier a place value notation number system had evolved over a lengthy period with a number base of 60. It allowed arbitrarily large numbers and fractions to be represented and so proved to be ...
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Equal Number Of Members As The Set
2,199 wordsGeorg Cantor founded set theory and introduced the concept of infinite numbers with his discovery of cardinal numbers. He also advanced the study of trigonometric series and was the first to prove the nondenumerability of the real numbers. Georg Ferdinand Ludwig Philipp Cantor was born in St. Petersburg, Russia, on March 3, 1845. His family stayed in Russia for eleven years until the father's sickly health forced them to move to the more acceptable environment of Frankfurt, Germany, the place wh...
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Algebra And Number Theory Gauss
738 wordsCarl 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 sel...
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Work On His Theories
790 wordsGalileo Galilei Galileo was probably the greatest astronomer, mathematician and scientist of his time. In fact his work has been very important in many scientific advances even to this day. Galileo was born in Pisa, Italy on February 15th, 1564. His father, Vincenzo was a music teacher and musician. After his family moved to Florence, Galilei was sent to a monastery to be educated. He was so happy there that he decided to become a monk, but his father wanted him to be a medical doctor and brough...
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Number Theory Into A Science
695 wordsLeonhard Euler 15 April 1707 - 18 September 1783 Leonhard Euler is said to have been the most prolific mathematician in history. His 866 books and articles represent about one third of the entire body of research on mathematics, theoretical physics, and engineering mechanics published between 1726 and 1800. Euler was born in Basel, Switzerland. His father, a pastor, wanted his son to follow in his footsteps and sent him to the University of Basel to prepare for the ministry, but geometry soon be...
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Berlin Academy Of Science
597 wordsLeonhard Euler Leonhard Euler, (born April 15, 1707, died Sept. 18, 1783), was the most prolific mathematician in history. His 866 books and articles represent about one third of the entire body of research on mathematics, theoretical physics, and engineering mechanics published between 1726 and 1800. In pure mathematics, he integrated Leibniz's differential calculus and Newton's method of fluxions into mathematical analysis; refined the notion of a function; made common many mathematical notati...
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Crowning Mathematical Event Of The 17th Century
4,991 wordsMathematics, study of relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19th century, however, mathematics came to be regarded increasingly as the science of relations, ...
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Singularities In The Theory Of General Relativity
634 wordsStephen William Hawking Stephen William Hawking was born January 8, 1942 in Oxford, England and showed great talents in mathematics and physics at a very young age. In high school Hawking's mathematics teacher inspired him to specialize in mathematics but his father was against the idea and Hawking ended up specializing in chemistry during high school. He entered Oxford University in 1958 and had specialized in thermodynamics, relativity theory, and quantum mechanics. He was known for being lazy...
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Theories And Mathematical Proofs Of Copernicus
2,236 wordsAstronomy made up the majority of the Scientific Revolution, and only a few significant figures made significant advances in Astronomy, while church dogma hindered many efforts to make sense out of rational theories that were opposed to the Holy Scripture. Aristotle, father of science, was born in 384 B.C. and inaugurated the first theory to make sense of planets, stars, and the universe in general. In the 16th century Copernicus, created a theory rejecting some of Aristotle's theory's principle...
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Mathematical Knowledge
934 wordsTheory of Knowledge (TOK) Essay for IB Program How does the mathematician's knowledge differ from that of the scientist? This question implies discussing how the knowledge acquired by mathematicians differs from that acquired by scientists. Defining mathematics is never easy. Some claim it is an art, others that it is a science, yet others that it is a tool. Mathematics is also hard to place on the map of human endeavors. Should it be placed by the natural sciences, or does it belong together wi...
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Turing Machine
655 wordsPossibly an inadequate title, the Founder of Computer Science, is what Alan Mathis on Turing is called by the technological community. Born in a nursing home in Paddington, London with the strong desire to learn, Turing would soon grow to be one of the most ingenious mathematical logicians ever to grace his field. Turing was a man who accomplished his successes without outside motivation to do so. His family, being an upper-middle-class group with no scientific knowledge or interests, left Turin...
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