He was the first mathematician who described the Zero and Negative Numbers. In Thomas Hockey; et al. A debt subtracted from Zero is a fortune. His assumptions and theories regarding the planetary positions and movements in time have not only been verified but also a travel to lunar soil has been undertaken. One of the most accomplished of the ancient Indian astronomers was Brahmagupta. Later Indian astronomers improved on the calculations, but Aryabhata's methods provided the core.
It also contains some conversational Hindi one might need to use. He asserted that the Earth was round and not flat, as many people still believed, and even calculated that the circumference of the Earth was approximately 36,000 km. Brahmagupta Contributions to Mathematics He contributed a lot to the mathematics and still, his theories are using to solve the mathematical problems. Water supply to the entire city is also very necessary for a civilization to grow by leaps and bounds. His mathematics was a mixture of concrete problems interest computation and abstract formulas determination of the partial sums of the series of perfect squares and of perfect cubes , which he sometimes gave in form of verses, or by means of numerical examples. He also made contributions to geometry, including accurately calculating the constant pi, and developing a way to calculate the area of a cyclic quadrilateral that is still known as Brahmagupta's Formula.
We can also describe his methods of multiplication which use the place-value system to its full advantage in almost the same way as it is used today. In Arabic, jiba is a meaningless word. In this book he sets forth the concept that one year equals 365 days, six hours, five minutes and 19 seconds. Brahmagupta distinguished twenty arithmetical operations logistics , including the extraction of roots and the solution of proportions, and eight measurements determinations. I am sure most of you know more than zero and less than zero but not the story of zero itself. Archived from on 16 November 2007. Although the name itself did not exist, Brahmagupta gives great detail to area itself for what became our view of algebraic equations.
Zero multipled by Zero is a Zero. It was translated into Arabic in Baghdad about 771 and had a major impact on Islamic mathematics and astronomy. If we unfortunately do so, we will be too rude to all the sweat that Edison must have drained while discovering an electric bulb. 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. Even though his birthplace may be in question; there is no question as to his place in mathematical history. An Introduction to the History of Mathematics 6th Edition.
The gravitational pull of Brahamagupta and Newton Brahamagupta the greatest of all Indian mathematicians was born in Gujarat in the city of Bhinmal which is presently in North West Rajasthan. He also gives arithmetical rules in terms of fortunes positive numbers and debts negative numbers :- A debt minus zero is a debt. . Though all this seems like obvious and simple solutions it was a major improvement in science at that time. Continuing the tradition from , he used letters of the alphabet to denote numbers, expressing quantities, such as the table of sines in a form. Works Aryabhata is the author of several treatises on and , some of which are lost.
The History of Mathematics: A Brief Course. The brightness is increased in the direction of the sun. His work in this arena caused many to look at the young mathematician with greater respect. Many of them are ones we still follow today. Eclipses Solar and lunar eclipses were scientifically explained by Aryabhata. Kāpittaka was believed to be the birthplace of Varahamihira and this place is now called Kayatha, 12 miles away from the city of Ujjain. The caliph invited a scholar of Ujjain by the name of Kankah in 770 A.
His simple formulae about the cyclic quadrilateral in a circle have become more complex and easier with the help of computers who bargain the millions of calculations in a wink of an eye. This religion was more about how they projected themselves to their god, rather than following strict adherence to Hinduism tenets. He developed several more mathematical theorems, calculated the length of the solar year more precisely than anyone had done before, and calculated the circumference of the Earth. Most of his works are composed in elliptic verse, a common practice in Indian mathematics at the time, and consequently have something of a poetic ring to them. Khandakhadyakais made up of 8 chapters. Brahmagupta became the head of the astronomical observatory at Ujjain which was the foremost mathematical centre of ancient India at this time. Approximately in 665 he developed the treatise called Khandakhadyaka.
A third text, which may have survived in the translation, is Al ntf or Al-nanf. Because the man had a deep passion of mathematics as a whole, this chapter seems to be an expose of himself in his love. By this rule the circumference of a circle with a diameter of 20,000 can be approached. However, Aryabhata did not use the Brahmi numerals. A verse mentions that Aryabhata was the head of an institution kulapa at Kusumapura, and, because the university of was in Pataliputra at the time and had an astronomical observatory, it is speculated that Aryabhata might have been the head of the Nalanda university as well. Brahmagupta was the one to give the area of a triangle and the important rules of trigonometry such as values of the sin function. There is a belief that Brahmagupta may have purposely held to the stationary earth idea to save his own life.