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History Of Mathematics Essay

969 words - 4 pages

By the time the Babylonians and Egypt developed their mathematics; Indians had worked independently and made an advanced mathematical discovery. During the early time of Indian, they were already familiar with arithmetic operations such as addition, multiplication, subtraction, multiplication, fractions, squares, cubes and roots. The evidence of using Pythagorean triples was also traced as part of Hindu mathematics long before Pythagoras. The Indian text known as “Sulba Sutras” contains a geometric approach in finding the solutions of linear and quadratic equations. The use of circle to represent zero is usually attributed to Hindu mathematics. Early Indians are also known to be the first to establish the basic mathematical rules for dealing with zero. They had also established the laws that could be used to manipulate and perform calculation on negative numbers, something that was not manifested in unearthed mathematical works of other ancient mathematics. Brahmagupta, a Hindu mathematician, showed that quadratic equations could have two possible solutions and one of which could be negative.
In India, there was an era called “the Golden Age of Indian Mathematics. At this period, several refined and advanced mathematics were recorded. The concept of sine, cosine, and tangent in land surveying and navigations were already known to them. In addition, the use of trigonometry to calculate the distance between the earth, the moon, and sun was already part of Hindu’s culture. As the western civilization made some innovations in astronomy, Indian had already grasped the idea that the sun, moon, and the earth form a right-angled triangle when the moon is in half full and situated directly opposite the sun. It is really surprising that they were also able to calculate the measure of that angle. In their trigonometric tables, they had shown that the sun is 400 times further away from the earth than the moon. Although, the Greek mathematicians were able to calculate the sine function of some angle, Hindu mathematics are more advanced that it could calculate the sine function of any given angle. There are also evidences that they were already aware that pi is an irrational number and that any form of calculation would just result into approximated values. This was not proven by the western until 1761. Indian astronomers used the approximated value of pi to approximate the circumference of the earth. Bhaskara II who was considered one of the great Indian mathematicians, was recognized for giving light in performing division by zero. He had shown that dividing one into pieces of zero size would result to infinitely many pieces. Hindu mathematics contains several mathematical advancements that are very much in use until today. Some of the concept which are part of Hindu mathematics and which are also studied today are the solutions of quadratic, cubic and quartic equations including the basic concept of infinitesimal calculus and spherical trigonometry....

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