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- The mathematics applied today has its roots in ancient Egypt and Babylonian, which grew rapidly in Greece.
- The ancient Greek mathematics, along with some Hindu
mathematics, was translated into Arabic, then Latin, making it the mathematics of the Western Europe.
- After some time, it became the mathematics of the world.
ANCIENT WORLD
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counting, measurement, and calculation -----> systematic study of objects, relationships, and systems
ANCIENT WORLD
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- Provides the tools needed to shape the world
Applied mathematics
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- Mathematicians develop theorems and seek proofs Esoteric part of the discipline
Pure mathematics
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- Mathematics fell into a decline that lasted for about 1, 000 years, except in China, India, and the Arab world where mathematics continued to thrive.
- One of the few bright spots in European mathematics during this period was the work of Fibonacci who helped open Europe to the Arabic mathematical methods.
MIDDLE AGES
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- Developments were focused more on Algebra than in Geometry
- Many contributions to this algebraically-based mathematics came in like the Arabic numerals, the negative numbers, and the + and – signs.
MODERN ERA – 16TH CENTURY
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- Introduction of logarithms
- Analytic Geometry
- Calculus
- Started the study of probability
MODERN ERA – 17TH CENTURY
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- Discovered differential equations, infinite series, number theory, theory of probability, solutions to algebraic equations, and complex numbers.
- Euler – century’s greatest mathematician
MODERN ERA – 18TH CENTURY
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- Modern abstract algebra started with the invention of group theory
- Calculus was extended to the complex numbers
- Other developments in set theory and mathematical logic
MODERN ERA – 19TH CENTURY
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- Development of mathematical logic
- Specialized fields of study such as group theory, knot theory, topology, graph theory, functional analysis, chaos theory, game theory, and many more started to develop during this period.
MODERN ERA – 20TH CENTURY
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