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Copy of TOK - History of Mathematics
Transcript of Copy of TOK - History of Mathematics
Heres a short video..
The roots of numbers
Armand Mendoza Lorenzo Godinez
- Mathematics has its roots from Ancient Egybt and Babylonia,
then grew rapidly to Ancient Greece
- Mathematics written in Greek was translated into Arabic
- Mathematics was eventually translated into Latin and became
the mathematics of the Western Europe
- Several hundred years later, it became the Mathematics of the
Theory of Knowledge
Egypt and Mesopotamia
developed a number system and used
this system to solve practical building and accounting problems. In the 16th century BC and Egyptian scribe Ahmes wrote advice on how to use fractions and whole number arithmetic.
India: Baudhayana records the use of mathematics for astronomy and the construction of religous buildings.
Greece: Pythagoras worked on number relationships.
Greece: Proof of mathematical activity developed. Euclid's elements led to work by archimedes who defined formulae for the areas and volumes of spheres, cylinders and parabolas and Apollonius who wrote the definitive work on conic sections. Plato asserted the entire natural world was based on mathematical truths.
India: Aryabhata and Brahmagupta developed arithmetic, geometry, and trigonometry
Iraq: al-Khwarizmi wrote Arithmetic using Indian decimal place system and Algebra, which gave the name to the subject
Spain: Leonardo of Pisa introduced Arabic number system to Europe
China: YangHui explored binomials Chu Shih
Chieh: arithmetic algebra
India: Bhaskara defined aspects of arithmetic, algebra and trigonometry Mahava developed systems of mathematical analysis
Iran: Omar Khayyam - arithmetic, algebra and geometry
Italy: Regiomontanus, Maurolico and Commandino rediscovered and studied ancient Greek mathematics. Carolano and Viete developed Algebra.
Europe: Napier, Descartes, Fermat, Huygens, Newton, Leibniz, Euler and Lagrange created a dramatic explosions of mathematical knowledge which changed the whole world of mathematical enquiry.
- The importance of mathematics is for the advancement of science and for the understanding of the way the universe works.
- The tools that mathematics provides for people today are a better knowledge also in the areas of logical reasoning, problem-solving skills, and the ability to think in abstract ways.
- In schools today math is one of the major subjects that is taught due to its importance in everyday life.
- It is used in many forms of employment, science and technology, medicine,
the economy, the environment and development, and in public decision
1. Ways of Knowing "An introduction to TOK", Michael Woolman
2. Advantages of Mathematics
3. "A Brief History of Mathematics" Handout
4."History of Mathematics" [http://www.youtube.com/watch?v=wo-6xLUVLTQ]