Dajonna Turner and TJ Gibbs Geometry Timeline

3000 BCE

3,000 BC-500 BC : Egypt Mathematics

1.Developed rules to estimate and divide land areas and estimate volume of objects.
2.Inspired Thales and Pythagoras. The only surviving documents are the Rhind and Moscow Papyri.
3. Ahmes wrote Rhind papyris (1680-1620 BC).
4.Anon wrote the Moscow papyrus(1750 BC).
2000 BCE

2000 BC-500 BC: Babylon Mathematics

1.Went beyond Arithmetic and developed basic ideas in number theory, Algebra, and Geometry.
2.Method included rules that solved specialized quadratic and even some cubic equations.
3. Yale tablet, Plimpton 322, Susa tablet, Tell Dhibayi tablet
1500 BCE

India: 1500 BC-200 BC
1. Everything known about Ancient Indian Mathematics is contained in the 3 forms.
2. Sulbastras are construction manuals for basic geometric shapes.
3. Baudhayana(800 BC) was the earliest known Salbasutra.
4. Manava (750-690 BC) Contains the approximation of pi.
800 BCE

Islamic: 8th Century
1. Islamic empire established across Persia, Middle East, Central Asia, North Africa, and Parts of India. 2.Al-Karaji was the first to use the method of proof by mathematical induction to prove his results.
2. They used the Pascals triangle which was named after the 17th Century French mathematician Blaise Pascal.
700 BCE

Hellenistic: 700-400 BC
1. The ancient Greek numeral system was fully developed by about 450 BCE
2. It was a base 10 system similar to the earlier Egyptian one.
3. They used the Thales intercept Theorem and the Sieve of Eratosthenes. 4.Most influential mathematicians who studied and taught here was Euclid, Archimedes, Eratosthenes, Heron, Menelaus, and Diophantus.
650 BCE

China: 2nd Millennium BCE
1. The Number system they used made more complex calculations very quick and easy to solve. 2.They used Abacus, the Lo Sho Square, a Textbook called Jiuzhang Suanshu.
2. The Most brilliant mathematician was Qin Jiushao,.
400 BCE

700-400 BC: Classical
1. Classical period consisted of Thales, Pythagoras, and Plato.
2. Geometry was considered as the Crown Jewel of their sciences.
3. They recognized that Geometry studies eternal forms, or abstractions of physical objects
1601

17th Century

1.Logarithms was invented by John Napier.
2. 17th century saw an unprecedented explosion of mathematical and scientific ideas.
3. Tycho Brane and Johannes Kepler discoveries of the Solar System led to Kepler's formulation of mathematical laws of planetary motion
1701

18th Century
1. The Period was dominated by the Bernoulli of Basel in Switzerland family.
2. They developed Leibniz's infinitesimal calculus well as Pascal and Femats probability and Number theory.
3. They used the Lagrange Mean Value Theorem.
1801

19th Century
1. Jean-Robert Argand published his paper on how complex numbers could be represented on geometric diagrams and manipulated using trigonometry and vectors. 2.The German Bernhard Riemann work on Elliptic Geometry
2. British Mathematician George Boole devised and algebra in which the only operators were AND, OR and NOT and which could be applied to the solution of logical problems and mathematical functions.
1901

20th Century
1. The 20th Century continued the trend of increasing generalization and abstraction in mathematics.
2. G.H Hardy and his Indian protege Srinivasa Ramanujan were the two great mathematicians of this century who applied themselves in earnest to solving problems of the previous century.
3. Bertrand Russell and A.N. Whitehead, whose monumental joint work the "Principia Mathematica" was so influential in mathematical and philosophical logicism.
2001

21st Century (Present)
1. Terence Tao is known for his Green-Tao theorem which was proved in 2004.
2. May 2013, mathematician Yitang Zhang proved that there are infinitely many gaps of prime numbers that do not exceed 70 million.
3. Terence Tao has made many mathematical contributions to harmonic analysis, partial differential equations, combinatorics, ergodic Ramsey theory, random matrix theory, analytic number theory, compressed sensing, etc.
2017

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