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The History of Mathematics - Uses and Historical Context
Transcript of The History of Mathematics - Uses and Historical Context
Uses and Historical Context by Aashi Sinha Geometry Finding the origins
of Mathematics Fermat's Last Theorem 3000 BC 1400 to present 427 - 212 BC Tax Land Area The Rhind Mathematical Papyrus Use of Pythagoras' Theorem Proofs Plato Archimedes Euclid I've learnt how to research and collect evidence. JSTOR and Google Scholar were very useful.
I'm now better at summarising the information given.
I also learnt how to reference articles, books etc.
Many books were very general about topics and it was greatly up to me to find more specific notes on some areas.
I learnt how to make a more professional looking Word document.
Researching into a topic is actually interesting. Difficulties and What I learned from my EPQ Greeks Egyptians Euxodus A General Timeline Egyptians 2467 BC When Khufu's Pyramid was said to be constructed Plato Euclid Euxodus Archimedes 427 to 348/347 BC 408 to 355 BC 330 to 275 BC 287 to 212 BC Greeks Modern Mathematicians Descartes 1596 to 1650 Gauss Mobius 1777 to 1855 1790 to 1868 Euclid wrote the Elements.
There were 13 books and 465 theorems.
He proved them all using only 5 postulates. 1. A straight line segment can be drawn joining any two points.
2. Any straight line segment can be extended indefinitely in a straight line.
3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.
4. All right angles are congruent.
5. If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is equivalent to what is known as the parallel postulate. The Five Postulates Pythagoras' Theorem French Mathematician who wrote a book called 'La Geometrie'
He introduced the idea of co ordinate geometry.
Allowed geometry to be expressed algebraically
As well as allowing algebraic equations to be expressed geometrically Descartes