Contribution of brahmagupta in the field of mathematics
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The instructions were mainly for the benefit of craftsmen laying out and building the altars. Knowledge of this period of mathematical history is still fragmentary, and it is a fertile area for future scholarly studies. Bricks were used in the construction of buildings and embankments for flood control. For example, the numbers 1 and 5 have a value on their own, but also have a value relative to their position in the number 15. This has connections with the two most famous irrational numbers of Mathematics, namely p and f.

Multiply the middle quantity by the last quantity and divide by the first. He showed that how to divide the number into two or more squares or cubes. Islamic Spain and our heritage: Al-Andalus, 711-1492 A. Some of these are: 1. It is interesting that the mathematics of this period seems to have been developed for solving practical geometric problems, especially the construction of religious altars.

The work of Bhaskaracharya gives an algorithmic approach ------- which he called the cakrawala cyclic method ------ to finding all solutions of this equation. The Man Who Knew Infinity Srinivasa Ramanujan died of his illness on April 26, 1920, at the age of 32. He was the first Indian to be honored with a Fellow of the Royal Society, the premier institution of Science in the United Kingdom. Also, after Bhaskaracharya, there seems to have been a gap of two hundred years before the next recorded work. He sent a set of 120 theorems to Professor Hardy of Cambridge.

Here p and i are of the same denomination and f is of a different denomination. However, we need a more sophisticated notion to measure the size of an infinite set. Shortly after this birth, his family moved to Kumbakonam, where his father worked as a clerk in a cloth shop. He gave the famous formula for a solution to the quadratic equation It is not clear whether Brahmagupta gave just this solution or both solutions to this equation. Mathematics in the Modern Age In more recent times there have been many important discoveries made by mathematicians of Indian origin. Geometry of the Sulba Sutras 4. Geometry of the Sulba Sutras Hailing from the times of the Vedas, the ritual literature which gave directions for constructing sacrificial fires at different times of the year dealt with the their measurement and construction in a systematic and logical way, thus giving rise to the Sulba Sutras.

He gave formulas for the lengths and areas of other geometric figures as well, and the Brahmagupta's theorem named after him states that if a cyclic quadrilateral has perpendicular diagonals, then the perpendicular diagonal to a side from the point of intersection of the diagonals always bisects the opposite side. This meeting could serve as an impetus and stimulus to mathematical thought in the subcontinent, provided the community is prepared for it. He was much ahead of his contemporaries and his mathematical and astronomical calculations remained among the most accurate available for several centuries. Classical contribution to Indeterminate Equations and Algebra 8. Counting boards with columns representing units and tens were in use from very ancient times. But the final breakthrough of the introduction to the West was by Leonardo of Pisa, through his popular text Liber Abaci, 1202 A.

The text also elaborated on the methods of solving linear and quadratic equations, rules for summing series, and a method for computing square roots. More importantly, he wrote about zero as a number rather than simply a placeholder. When exactly the invention of this most modest of all numerals took place, we do not know. But it must be said to their credit that they were the first, in the chronology of scientific thinking, to have recognised that all infinities were not the same or equal. Fact Check We strive for accuracy and fairness. A Jain canonical text entitled Triloka prajnApati has a very detailed treatment of arithmetic progressions.

Such an interest, though originally generated from the demands made by astronomical calculations, was also pursued for its own sake, sometimes even for recreational purposes. The Bodhayana version of the Pythagorean theorem sates as follows: The rope which is stretched across the diagonal of a square produces an area double the size of the original square. The construction of altars vedi and the location of sacrificial fires had to conform to clearly laid down instructions about their shapes and areas in order that they may be effective instruments of sacrifice. Again, this method can be found in most modern books on number theory, though the contributions of Bhaskaracharya do not seem to be well-known. Mathematical ideas that originated in the Indian subcontinent have had a profound impact on the world.

Here, the brick-making technology of the Indus valley civilization was put to a new use. It is hard to imagine calculating with such numbers without some form of place value system. The time is ripe to make a major effort to develop as complete a picture as possible of Indian mathematics. At the age of 6, she gave her first major show at Mysore University and there was no turning back after that. Jaina contribution to Fundamentals of numbers 5.