600 BC 500 400 300 200 100 0 100 AD 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 Diophantus 250

Greek

wrote Arithmetica Eratosthenes

240BC Calculated the circumference of the Earth using the angle of the sun

Created the Sieve of Eratosthenes to find prime numbers Fibonacci 1225

Italian

wrote "Book of Squares" Descartes 1637

French

Published his Discourse on Method Leibniz 1675

German

Began basis for integral and

differential calc Leonard Euler 1748

Swiss

Introduced idea of a fcn in

analytic math Cauchy 1820

French

Related limits and continuity

to calculus George Boole 1854

British

developed Boolean Algebra

Laws of Thought David Hilbert 1902

German

Published books with

axioms for invariants

and geometry Bertrand Russell 1903

British

Wrote The Principles of Math Andrew Wiles 1993

British

Proved Fermat's last theorem Zeno 490

Madrid

Zeno's Paradox Al Khwarizmi 780

Iraq

Introduced Hindu -

Arabic numerals to

European Math Kenneth Appel,

Wolfgang Haken 1976

Germany

4 Color Theorem Richard Dedekind 1854

Germany

"Dedekind Cut" Simeon Poisson 1812

France

Potential Theory Bernard Bolzano 1837

Prague

Theory of Science Alfred North Whitehead 1920

England

The role of Science in Math Isaac Newton 1666

England

Advanced every

branch of Math Kurt Godel 1931

Czech Republic

Incompleteness Theorum William Hamilton 1827

Ireland

Wave of light Theory Ptolemy 90

Egypt

Used Math to study

Astronomy Peter Dirichlet 1837

Germany

Infinite Numbers Theorum Pythagoras 580

Greek

Leader of the Pythagoreans, who

found many results in early

number theory, such as qualities

about even and odd integers and

the Pythagorean theorem. Hippocrates 470

Greek

Wrote first organized geometry

textbook, Stoicheia Elements

Worked with cube roots

Early examples of proof by

contradiction Aristotle 384

Greek

Founded the Lyceum, a school

in Greece

Formalized logic using

syllogisms

Refuted Zeno's paradoxes Hipparchus 190

Greek

Founded trigonometry Giovanni Saccheri 1733

Italian

Introduced concept of non-

Euclidean geometry in his book

Euclid Free of All Blemish Carl Friedrich Gauss 1801

German

Constructed a regular 17-side polygon

Published book Disquisitiones Arithmeticae Georg Cantor 1874

German

Founded set theory

Proved there were different "sizes"

of infinity John von Neumann 1930s

Hungarian-American

Came up with the idea for a

computer that could store

whole programs in its memory Archimedes

287-212BC

Perfected integration by applying the method of exhaustion

Archimedes Principle Omar Khayyam 1048-1131

First to realize connection between cubic

equations and conic sections

conceived idea that cubic equations have 2

solutions Blaise Pascal

1645 Invented the Pascaline

1647 Proved vacuums exist

Pascal Triangle

Probability Theory

Guillaume de L'Hopital

1696 1st textbook on

differential calc

Plagerized most of work John Machin

1680-1751

Calculated 100

digits of pi Lengedre

Theory of elliptic

functions

1794-"Elements of

Geometry" Evariste Galois

1829 Continued fraction

1830 Galois Theory Richard Feynman

Nobel prize 1965

Quantum Theory of

Electrodynamics continuum hypothesis

Set Theory Paul Cohen

1990's developed

'forcing' to work on

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# History of Math Timeline

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