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Daniel Blanchette, Christian Landry. 1300BC1300BC Babylonians Solved quadratics of the form x 2 + p = qx.

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Presentation on theme: "Daniel Blanchette, Christian Landry. 1300BC1300BC Babylonians Solved quadratics of the form x 2 + p = qx."— Presentation transcript:

1 Daniel Blanchette, Christian Landry

2 1300BC1300BC Babylonians Solved quadratics of the form x 2 + p = qx

3 Chinese are solving quadratic by completing the square 200 BC200 BC

4 Brahmagupta solves quadratic for positive roots only 628AD628AD

5 Yang Hui solves quadratic with negative roots using Pascal’s Triangle 12611261

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8 Johannes Guttenberg invents the printing press 14501450

9 - Ottoman empire captures Constantinople - Fall of Byzantine empire - End of 100 year war 14531453

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11 - End of Thirteen year war. - Royal Prussia annexed to Poland. 14661466

12 - Unification of Spain - Wedding of Isabela 1 of Castile to Ferdinand Aragon 14691469

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14 - Spanish Inquisition begins 14811481

15 - John Widmann uses the + and – signs for the first time in a printed book 14891489

16 - Christopher Columbus discovers the Americas 14921492

17 - Lucia Pacioli writes summa de Arithmetica 14941494

18 - Michealangelo begins work on the Statue of David 15011501

19 -Nilakantha Somayaji writes Tantra sangraha 15011501

20 - Da Vinci begins to paint the Mona Lisa 15031503

21 - Coppernicius says the earth resolves around the sun 15121512

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23 - Aztec Empire falls - Montezuma II is killed 15211521

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26 - Rome is sacked - End of Italian Renaissance 15271527

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28 - England renounces the papacy - King Henry VIII head of Church of England 15311531

29 - Jacques Cartier claims Quebec for France 15341534

30 -Feburary 6 th 1465 – November 5 th 1526 - First to solve depressed cubic - Not much known about mathematics

31 - ? 1499 – December 13 th 1557 - Engineer, Mathematician - Translated Euclid, Archimedes - Studied path of Cannonball - Devised a method to obtain binomial Coefficients - Volume of tetrahedron given lengths - Solved cubic, did not publish.

32 -September 24 th 1501 - September 21 st 1576 - Mathematician, Inventor, Physician, Lawyer - First to describe Typhoid Fever - First to acknowledge imaginary numbers - First to write systematically about Probability - First to publish solution to cubic, quartic - Introduced Binomial Coefficients and theorem

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37  A polynomial with an odd order must have at least one solution that is real. Why?

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39  Where have you seen the use of auxiliary equations before?

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41  How did Yang Hui obtain negative roots?

42  Gauss wrote “Oh..Great Archimedes, How come you did not make this discovery? If you had done that, the world would have been thousand of years more advanced”  Do you agree with Gauss?, If yes, why is it that the author of this book did not cover more about Brahmagupta?


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