Shared Flashcard Set

Details

History of Math Final Exam
Content for the final!
32
Mathematics
Undergraduate 3
12/12/2012

Additional Mathematics Flashcards

 


 

Cards

Term
Greek (Early Period)
Definition
Greek Empire
- 600-400 BC
- Proof by deductive reasoning
- Pythagorean theorem
Term
Greek (Middle)
Definition
Greece
- Geometry and constructions
- incommensurables
Term
Greek (Late)
Definition
Alexandria, Egypt
- Approx. of pi
- Quadratures of parabolas
Term
Indian-Arabic
Definition
Persia & Baghdad
- hindu-arabic numerals
- sines and cosines
Term
Greek Early mathematicians?
Greek middle?
Greek late?
Definition
- Pythagoras, thales
- Euclid, Aristotle
- Diophantus, Hypatia
Term
Indian-Arabic mathematicians?
Definition
Al-khowarizmi, Brahmagupta, and Bhaskura
Term
Middle Ages
Definition
Europe (Italy)
- Practical geometry
- Fibonnaci sequence
- Fibonacci, Cardano
Term
1600s (Age of Discovery)
Definition
Europe
- Analytical geometry
- Probability theory
Term
1600s mathematicians?
Definition
Descartes, Newton, Leibniz
Term
1700's
Definition
Europe
- Pi was popularized
- Imaginary numbers came around
- Euler, Bernoulli
Term
1800s (Age of Rigor in math)
Definition
Europe... again
- Fund. Them of Algeebra
- Trans-infinities
- Cantor, Riemann
Term
1800s (Age of Rigor in math)
Definition
Europe... again
- Fund. Them of Algeebra
- Trans-infinities
- Cantor, Riemann
Term
1900's (Modern)
Definition
United States
- 23 propositions from Hilbert
- "The Proof"
Term
1900's (Modern)
Definition
United States
- 23 propositions from Hilbert
- "The Proof"
Term
Created solution to depressed cubic

Solution to the general cubic

Quartic
Definition
Scipione del Ferro
Cardano
Ferrari
Term
Fernat's Them.


Brachistochrone problem

Cycloid curve

Concluded e^ i*pi.

Fund. Thm. of algebra and arithmetic
Definition
Fermat

Euler

Gauss
Term
Non-Euclidean geometries!

4-color theorem
Area under a catenary
Incompleteness theorem
Definition
Lobachevsky and Bolyai

Niels Abel

Pascal

Kurt Godel
Term
Proof of FLT

Writer of Arithmetica

Wrote Ars Magna
Definition
Andrew Wiles

Diophantus

Cardano
Term
One person:
Developed calc (first)
Principia Mathematica
"Standing on shoulders of giants"
Warden of the Mint
Proved Binomial Thm.
Definition
Sir Isaac Newton
Term
Wrote la geometrie

Algebrar

Probability theory
Definition
Descartes

Al-khowarizmi

Pascal & Fermat (letters back and forth)
Term
What curve was the solution to the brachistochrone problem?
Definition
Cycloid
Term
One Person:
Using pi and e
"proof" that God exists
Analysis incarnate
Was blind for 17 years of life
Definition
Leonard Euler
Term
No gen. solution to equations beyond quartic
Balance between working and the monastery

Beat Fior in the cubic wars
Definition
Abel

Pascal

Tartaglia
Term
All infinities are not same size

Functional notation

23 Probs. of Century
Definition
Cantor

Fermat

David Hilbert
Term
Died in a duel & created group theory

Told fortune for the Khalif

Stepreckoner
Definition
Galois

Al-korizmi

Leibniz
Term
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
Definition
Rene Descartes
Term
One Person:
Distribution and bell curve
constructed the 17-gon
"Prime of Mathematics"
Ceres
Definition
Carl Friedrich Gauss
Term
One Person:
Developed dy/dx notation
diplomat, philosopher, and mathm.
Symbolic and boolean logic
Definition
Leibniz
Term
Pascaline and the vacuum

Negative numbers are 'in debt'

Means 'stammerer'
Definition
Pascal

Brahmahgupta

Tartaglia
Term
Accused of plagarizing an early calc text

Sequence of rabbits & sent texts to Europe

Rigor in math
Definition
L'Hopital

Fibonacci

Weierstraus
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
Definition
Riemann
Bolyai
Cantor
John Nash
George Danzig
Term
Math on a logical foundation, created famous paradox

Can't prove everything in math!

Proved binomial thm.
Definition
Bertrand Russell

Kurt Godel

Newton
Supporting users have an ad free experience!