who is father of mathematics
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Answer:
Archimedes is the Father of mathematics.......
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Answer:
Archimedes (287 BC–212 BC) is known as Father of Mathematics.
He is regarded as one of the leading scientists in classical antiquity. Generally considered the greatest mathematician of antiquity and one of the greatest of all time.
Archimedes anticipated modern calculus and by applying concepts of infinitesimals and the method of exhaustion to derive and rigorously prove a range of geometrical theorems, including the area of a circle, the surface area and volume of a sphere, and the area under a parabola.
In Measurement of a Circle he did this by drawing a larger regular hexagon outside a Circle and a smaller regular hexagon inside the Circle, and progressively doubling the number of sides of each regular polygon, calculating the length of a side of each polygon at each step. As the number of sides increases, it becomes a more accurate approximation of a circle.
After four such steps, when the polygons had 96 sides each, he was able to determine that the value of π lay between 3+1/7 (approximately 3.1429) and 3+10/71 (approximately 3.1408), consistent with its actual value of approximately 3.14159.
He also proved that the area of a Circle was equal to π multiplied by the square of the radius of the circle (πr²).
In Measurement of a Circle, Archimedes gives the value of the square root of ‘3′ as lying between 265/153 (approximately 1.7320261) and 1351/780 (approximately 1.7320512). The actual value is approximately 1.7320508, making this a very accurate estimate.
In The Quadrature of the Parabola, Archimedes proved that the area enclosed by a parabola and a straight line is 4/3 times the area of a corresponding inscribed triangle.
He expressed the solution to the problem as an infinite geometric series with the common ratio 1/4.If the first term in this series is the area of the triangle, then the second is the sum of the areas of two triangles whose bases are the two smaller secant lines, and so on. This proof uses a variation of the series 1/4+1/16+1/64+1/128+1/256+… which sums to 1/3.
In The Sand Reckoner, Archimedes find out to calculate the number of grains of sand that the universe could contain.