math history 2
Terms
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- harmony, numbers, geometry
- Pythagoras
- fig market, Egyptian math, triangular geometry, solar eclipse, teacher of Pythagoras
- Thales
- military tech., density and displacement, planetarium
- Archimedes
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his Sequence from "rabbit story", math biology, Rhind papyrus (first math by Egyptians) story relation,
math notation (Liber abaci),
Practica geometriae (geometry and trig),
Liber quadratorum (indeterminate ana - Fibonacci
- logarithms
- Napier
- atoms, volumes of cones/pyramids, foundation of calculus w/ infinitismals
- Democritis
- idea of infinity
- Zeno
- university at Alexandria, Egypt
- Ptolemy
- theory of conic sections
- Apollonius
- Elements, geometry, Egyptian king servant, no royal road to understand!
- Euclid
- heliocentric theory
- Aristarchus
- cosmos harmony/planetary motion laws, a Pythagorean
- Kepler
- physical New Sciences
- Galileo
- physiol, psycho, philos contribtuons; La Geometrie' (analytic) of Discours de la methode
- Descarte's
- contrib to probab, analytic geometry, his Last Theorem (n>2, no + integers xyz, x^n+y^n=z^n)
- Fe'rmat
- his Triangle, theorems of Euclidean geometry, hydrodynamics contrib, calc machine
- Pascal
- father of probab
- Jerome Cardan
- dispute w/ Leibnez on diff calc he introduced, optics, Universal Law of Gravitation
- Newton
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first to prove x^3 + y^3 = z^3 part of Fe'rmat's Last Theorem, first to solve Bridges of Ko:nigsburg problem, calc orbit of Uranus,
modern trig, has high memoriz. - Euler
- Fundam. Theorem of Aleg.
- Gauss
- modern algebra
- Gal:ois
- infinity sets
- Cantor
- 23 unsolved problems for 20th century, Foundations of Geometry (revised Euclid's Elements), any math problem in world is solvable
- Hilbert
- axioms, 2nd Hilbert problem cannot be solved
- Go:del
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Computer + Brain, Theory of Games and Economic Behavior,
Atomic Energy Commission, aid on atomic bomb, army computers - vonNeumann