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Greek Empire - 600-400 BC - Proof by deductive reasoning - Pythagorean theorem |
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Greece - Geometry and constructions - incommensurables |
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Alexandria, Egypt - Approx. of pi - Quadratures of parabolas |
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Persia & Baghdad - hindu-arabic numerals - sines and cosines |
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Greek Early mathematicians? Greek middle? Greek late? |
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- Pythagoras, thales - Euclid, Aristotle - Diophantus, Hypatia |
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Indian-Arabic mathematicians? |
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Al-khowarizmi, Brahmagupta, and Bhaskura |
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Europe (Italy) - Practical geometry - Fibonnaci sequence - Fibonacci, Cardano |
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Europe - Analytical geometry - Probability theory |
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Descartes, Newton, Leibniz |
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Europe - Pi was popularized - Imaginary numbers came around - Euler, Bernoulli |
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1800s (Age of Rigor in math) |
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Europe... again - Fund. Them of Algeebra - Trans-infinities - Cantor, Riemann |
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1800s (Age of Rigor in math) |
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Europe... again - Fund. Them of Algeebra - Trans-infinities - Cantor, Riemann |
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United States - 23 propositions from Hilbert - "The Proof" |
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United States - 23 propositions from Hilbert - "The Proof" |
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Created solution to depressed cubic
Solution to the general cubic
Quartic |
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Scipione del Ferro Cardano Ferrari |
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Fernat's Them.
Brachistochrone problem
Cycloid curve
Concluded e^ i*pi.
Fund. Thm. of algebra and arithmetic |
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Non-Euclidean geometries!
4-color theorem Area under a catenary Incompleteness theorem |
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Lobachevsky and Bolyai
Niels Abel
Pascal
Kurt Godel |
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Proof of FLT
Writer of Arithmetica
Wrote Ars Magna |
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Andrew Wiles
Diophantus
Cardano |
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One person: Developed calc (first) Principia Mathematica "Standing on shoulders of giants" Warden of the Mint Proved Binomial Thm. |
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Wrote la geometrie
Algebrar
Probability theory |
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Descartes
Al-khowarizmi
Pascal & Fermat (letters back and forth) |
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What curve was the solution to the brachistochrone problem? |
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One Person: Using pi and e "proof" that God exists Analysis incarnate Was blind for 17 years of life |
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No gen. solution to equations beyond quartic Balance between working and the monastery
Beat Fior in the cubic wars |
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All infinities are not same size
Functional notation
23 Probs. of Century |
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Cantor
Fermat
David Hilbert |
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Died in a duel & created group theory
Told fortune for the Khalif
Stepreckoner |
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One Person: 3 dreams that changed life I think, therefore I am Slept, except for demands of queen Equation of normal line to a tangent line |
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One Person: Distribution and bell curve constructed the 17-gon "Prime of Mathematics" Ceres |
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One Person: Developed dy/dx notation diplomat, philosopher, and mathm. Symbolic and boolean logic |
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Pascaline and the vacuum
Negative numbers are 'in debt'
Means 'stammerer' |
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Pascal
Brahmahgupta
Tartaglia |
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Accused of plagarizing an early calc text
Sequence of rabbits & sent texts to Europe
Rigor in math |
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L'Hopital
Fibonacci
Weierstraus |
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Term
Hypothesis named after him, and did dissertation on Non-E geometries.
Hungarian, father was a friend of Gauss
Trans-infinities
Won Nobel for game theory Father of linear programming |
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Definition
Riemann Bolyai Cantor John Nash George Danzig |
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Math on a logical foundation, created famous paradox
Can't prove everything in math!
Proved binomial thm. |
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Bertrand Russell
Kurt Godel
Newton |
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