Crest of the Peacock Non-European Roots of Mathematics By: Elena Stamatakos
Classic Euro-centric view on history of mathematics Classical Greece Dark Ages Discovery of Greek knowledge Renaissance Ri...
Spread   of Mathematic Learning Europe Sicily Greece Toledo Cordoba Cairo Baghdad Jund-I-shapur China India
To Clarify: <ul><li>Ideas shared between China, India, Persia, and Greece </li></ul><ul><li>These Ideas spread to Baghdad,...
Ishango Bone <ul><li>Discovered in central Africa, with similar discoveries in Eastern Europe and Southern Africa </li></u...
 
Quipu <ul><li>Knotted strings from the Inca empire </li></ul><ul><li>Three different knots, each representing different co...
Inca Abacus <ul><li>Used for calculations, which were then put onto a quipu </li></ul>
Beginning of Written Numbers <ul><li>Spoken binary number systems in Africa and Australia </li></ul><ul><li>Ex: one, two, ...
Mayan Numeric Glyphs <ul><li>Symbols such as flags, dots to represent number bases </li></ul><ul><li>Intricate glyphs to r...
Egypt <ul><li>Hieroglyphics to represent numbers </li></ul><ul><li>Multiplication and division based on addition and two-t...
Mesopotamia <ul><li>Place value system and number system based on 60 </li></ul><ul><li>Algebra (quadratic equations, two u...
China <ul><li>Number system with symbols for quantities 1-10 (oracle bones) </li></ul><ul><li>Rod numerals, red and black ...
 
India <ul><li>Number system which is still used today. </li></ul><ul><li>Concept of zero, decimal place. </li></ul><ul><li...
Arabic Contributions <ul><li>Spread Indian numerical system. </li></ul><ul><li>Contributions to the Pythagorean theorom </...
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Crest Of The Peacock

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Crest Of The Peacock

  1. 1. Crest of the Peacock Non-European Roots of Mathematics By: Elena Stamatakos
  2. 2. Classic Euro-centric view on history of mathematics Classical Greece Dark Ages Discovery of Greek knowledge Renaissance Rise of European culture and learning
  3. 3. Spread of Mathematic Learning Europe Sicily Greece Toledo Cordoba Cairo Baghdad Jund-I-shapur China India
  4. 4. To Clarify: <ul><li>Ideas shared between China, India, Persia, and Greece </li></ul><ul><li>These Ideas spread to Baghdad, and then into Spain and Italy. </li></ul><ul><li>And finally into Europe from Spain and Italy </li></ul>
  5. 5. Ishango Bone <ul><li>Discovered in central Africa, with similar discoveries in Eastern Europe and Southern Africa </li></ul><ul><li>Animal bone with sub-groups of carved tick-marks </li></ul><ul><li>Prime numbers, multiplication, division, numerical system based on ten </li></ul>
  6. 7. Quipu <ul><li>Knotted strings from the Inca empire </li></ul><ul><li>Three different knots, each representing different constant value. </li></ul>1F 3F 1S 2S 1S 0S Main cord Pendant cord Subsidiary cord
  7. 8. Inca Abacus <ul><li>Used for calculations, which were then put onto a quipu </li></ul>
  8. 9. Beginning of Written Numbers <ul><li>Spoken binary number systems in Africa and Australia </li></ul><ul><li>Ex: one, two, one and two, two twos… </li></ul><ul><li>Also known as a “two-count” method </li></ul><ul><li>Yoruba method: base 20. 15 would be “twenty less five”, or 23 would be “three more than twenty” </li></ul>
  9. 10. Mayan Numeric Glyphs <ul><li>Symbols such as flags, dots to represent number bases </li></ul><ul><li>Intricate glyphs to represent each number </li></ul>
  10. 11. Egypt <ul><li>Hieroglyphics to represent numbers </li></ul><ul><li>Multiplication and division based on addition and two-times table </li></ul><ul><li>Created the idea of a fraction </li></ul><ul><li>Area and volume formulas (circle, semi-circle, pyramid) </li></ul><ul><li>Discovered pi (285/81) </li></ul>
  11. 12. Mesopotamia <ul><li>Place value system and number system based on 60 </li></ul><ul><li>Algebra (quadratic equations, two unknowns. A=lw, 2 , multiplication, division, reciprocal tables) </li></ul><ul><li>Geometry (circle has 360 degrees of measure, similar triangles, Pythagorean therom) </li></ul>
  12. 13. China <ul><li>Number system with symbols for quantities 1-10 (oracle bones) </li></ul><ul><li>Rod numerals, red and black for positive or negative numbers </li></ul><ul><li>Pythagorean Therom, Area and volume, Pascal's triangle, pi </li></ul><ul><li>Ratios (rule of three), complicated quadratic equation, square roots, spherical trigonometry) </li></ul><ul><li>Magic squares and circles </li></ul><ul><li>Taxes, proportions (millet, rice) deficiency or abundance </li></ul>
  13. 15. India <ul><li>Number system which is still used today. </li></ul><ul><li>Concept of zero, decimal place. </li></ul><ul><li>Binomial theorem, pi, square roots. </li></ul><ul><li>Created calculus. </li></ul><ul><li>Pascal’s triangle </li></ul><ul><li>Velocity, predictions in astronomy. </li></ul>
  14. 16. Arabic Contributions <ul><li>Spread Indian numerical system. </li></ul><ul><li>Contributions to the Pythagorean theorom </li></ul><ul><li>Accurate geography of Africa and middle east </li></ul><ul><li>Information on planets and movements in the solar system </li></ul><ul><li>Canceling out equalities in equations. </li></ul><ul><li>Trigonometry, cubic equations. </li></ul>

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