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these include a famous formula giving an excellent approximation to the sin function, as well as, probably, the zero symbol itself. Using his methods, al-Kashi calculated correctly to 17 significant digits, breaking Madhava's record. Abel also made contributions in algebraic geometry and the theory of equations. For his experimental methods and discoveries, his laws of motion, and for (eventually) helping to spread Copernicus' heliocentrism, Galileo may have been the most influential scientist ever; he ranks #12 on Hart's list of the Most Influential Persons in History. He proved that the fixed stars were at a huge distance, and found other flaws in the Ptolemaic model. He introduced notation like 3/5 ; his clever extension of this for quantities like 5 yards, 2 feet, and 3 inches is bbc discursive essay writing more efficient than today's notation. Eugene: I wasnt created by anyone. (He further determined the number of distinct ways such a sum could be formed.) At age 24 he published Disquisitiones Arithmeticae, probably the greatest book of pure mathematics ever. His Weil conjectures were very influential; these and other works laid the groundwork for some of Grothendieck's work. Though applied first to algebra, the notion of invariants is useful in many areas of mathematics. He also gave an improved theoretic basis for the Principle of Duality.
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Top Albert Einstein (1879-1955) Germany, Switzerland,.S.A. He solved it in a few hours and published the answer anonymously. His circle quadrature was of course ultimately unsuccessful but he did prove ingenious theorems about "lunes" (crescent-shaped circle fragments). Nevertheless, he made many important mathematical discoveries and inventions (although the Laplace Transform itself was already known to Lagrange). Vladimir Vizgin wrote "To this day, Weyl's unified field theory astounds all in the depth of its ideas, its mathematical simplicity, and the elegance of its realization." The Nobel prize-winner Julian Schwinger, himself considered an inscrutable genius, was so impressed by Weyl's book connecting quantum. That Archimedes shared the attitude of later mathematicians like Hardy and Brouwer is suggested by Plutarch's comment that Archimedes regarded applied mathematics "as ignoble and sordid. Youre selling them to advertisers, which puts you in an adversarial position to the audience. Among his mathematical results, most famous may be Ptolemy's Theorem ( acbd abcd bcad if and only if abcd is a cyclic quadrilateral). Top Paul Adrien Maurice Dirac (1902-1984) England,.S.A. For this work, and his invention of the notion of compactness, Fréchet is called the Founder of the Theory of Abstract Spaces. Conway's fertile creativity has produced a cornucopia of fascinating inventions: markable straight-edge construction of the regular heptagon (a feat also achieved by Alhazen, Thabit, Vieta and perhaps Archimedes a nowhere-continuous function that has the Intermediate Value property, the Conway box function, the rational tangle theorem. His approximation 223/71 22/7 was the best of his day.
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