The middle ages, which was also known as the dark ages for most of Europe, was a time when mathematics very under-developed and slow due to the Roman Empire and it’s hold that they had on mathematics. This was the case until the Renaissance Era. The Roman Empire flourished until about the 5th century. The decline of the Roman Empire created a new awakening for mathematics. Mathematics around the world began to flourish and develop again. For majority of the world, mathematics was used for keeping books and using it for trading with others, “Since Roman mathematics was insignificant, all the Europeans learned in mathematics was a very primitive number system and a few facts of arithmetic.” There were schools being developed while mathematics
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The Middle- East even made headway in topics such as algebraic notation, trigonometry, and algebraic geometry , when the Europeans did not. Not only did the Arabs advance in algebra they also found ways of using mathematical induction to prove formulas and theorems. The Chinese also had a hand in mathematics during Europe’s dark ages. IT was in the Han dynasty that Liu Hui found a sure way to approximate π called the “exhaustion of a circle” . This was done by finding a large polygon to give a lower bound of the circle and a rectangle to get an upper bound of the circle. Once this was done, an approximation was made, …show more content…
The Hindu’s were greatly influenced by the Alexandrian civilizations, and because of that they were able to contribute to the development of arithmetic, geometry and algebra. In the original counting system of zero was denoted by a dot, however one of the biggest contributions the Hindu’s made was the invention of zero. It was widely accepted and has evolved since. Another contribution that the Hindu’s made was the creation of the negative number system. Although this system was originally used to represent debts, in the use of mathematics it was not accepted at first but slowly began acceptance. However due to the lack of acceptance for negative numbers, negative irrational numbers were not accepted. It was due to this that algebra was evolving and with that was the solution to the quadratic equations. Brahmagupta is known for the introduction of the this general solution
The Middle- East even made headway in topics such as algebraic notation, trigonometry, and algebraic geometry , when the Europeans did not. Not only did the Arabs advance in algebra they also found ways of using mathematical induction to prove formulas and theorems. The Chinese also had a hand in mathematics during Europe’s dark ages. IT was in the Han dynasty that Liu Hui found a sure way to approximate π called the “exhaustion of a circle” . This was done by finding a large polygon to give a lower bound of the circle and a rectangle to get an upper bound of the circle. Once this was done, an approximation was made, …show more content…
The Hindu’s were greatly influenced by the Alexandrian civilizations, and because of that they were able to contribute to the development of arithmetic, geometry and algebra. In the original counting system of zero was denoted by a dot, however one of the biggest contributions the Hindu’s made was the invention of zero. It was widely accepted and has evolved since. Another contribution that the Hindu’s made was the creation of the negative number system. Although this system was originally used to represent debts, in the use of mathematics it was not accepted at first but slowly began acceptance. However due to the lack of acceptance for negative numbers, negative irrational numbers were not accepted. It was due to this that algebra was evolving and with that was the solution to the quadratic equations. Brahmagupta is known for the introduction of the this general solution