When was aryabhatta died
The confusion was cleared much later in the year by B Datta when he said the works Al-Biruni confused to be of two scientists, is only of one, and that is Aryabhata. Pataliputra which was the capital of Kusumapura in the Gupta Empire was a major learning hub and was the centre of a communication network. Because of which the works around the world reached the place easily that helped Aryabhata to make major mathematical and astronomical advancements.
It was believed that he was the head of his school Kulpa in Kusumapura. And later to pursue his interest in astronomy also went to study at Nalanda University located in Pataliputra, the speculations of him being the head of his university also remained intact.
The legacy of Aryabhata is truly unmatched, and no one is able to replicate his major achievements at a world-class level that is relevant to this day ever since.
His visionary approach was noteworthy. The major works of his that have not been lost are Aryabhatiya and Arya-Siddhanta. In both his works he explored Mathematics and astronomy the correlation. And he also explained how mathematical equations could help find out the workings of the world via astronomy.
It is written in the form of a sutra that is a collection of aphorisms which is a concise way of writing a statement or a scientific principle. These verses are his works that are a way to remember the complex calculations in a simple format, in the form of 13 introductory verses.
These are divided into 4 chapters or padas, the 1st Chapter is Gitikapada that has 13 verses. It deals with cosmology. The planetary revolutions, in a maha yuga, is mentioned to be up to 4.
The 2nd Pada or chapter is the Ganitapada, Ganita in Sanskrit means calculations. It has 33 verses, all dedicated to mathematics. Explaining, mensuration, simple, quadratic, and indeterminate equations and arithmetic and geometric equations. The 3rd Pada is the Kalakriya Pada consisting of 25 verses, where using varying units of time the count of days, weeks and months.
And the 4th Chapter is Golapada that consists of 50 verses. In this chapter, Aryabhata delves into the causes of days and nights, rising of zodiac signs, eclipse, celestial equator, node and the shape of the earth. The Vedic way to solve mathematical problems was explored and unsurprisingly this has also survived to modern times.
With this information the year of his birth is undisputed but there is a dispute about the actual birthplace. According to some sources, Aryabhata was born in Ashmak region of Maharashtra and it is certain that at some point of his life he went to Kusumpura for higher education and lived there for some time.
The seventh-century Indian mathematician Bhaskar has identified Kusumpura as Pataliputra modern Patna , along with Hindu and Buddhist traditions. A great center of study, Nalanda University was established here and it is possible that Aryabhatta may have been associated with it. It is possible that Aryabhata lived there in the last days of the Gupta Empire. The Gupta period is known as the Golden Age of India. This great mathematician composed texts such as Aryabhatiya, Dasgeetika, Tantra and Aryabhata Siddhanta.
At present only 34 verses of this book are available and scholars have no definite information about how such a useful book has disappeared. The Aryabhatiya provides a direct description of the work done by him.
It is believed that Aryabhata himself would not have given it this name, but later commentators may have used the name Aryabhatiya. This book is sometimes also known as Arya-Shata-Ashta ie of Aryabhata — the number of verses in his text.
Aryabhatiya describes square root, cube root, parallel series and different types of equations. In fact, this book is a collection of mathematics and astronomy. The mathematical part of Aryabhatiya includes arithmetic, algebra, simple trigonometry and spherical trigonometry.
It includes continuous fractions, quadratic equations, the sum of power series tables of power series and a table of sines. He also appears to give an incorrect expression for the volume of a sphere. However, as is often the case, nothing is as straightforward as it appears and Elfering see for example [ 13 ] argues that this is not an error but rather the result of an incorrect translation. However, in his translation Elfering translates two technical terms in a different way to the meaning which they usually have.
Without some supporting evidence that these technical terms have been used with these different meanings in other places it would still appear that Aryabhata did indeed give the incorrect formulae for these volumes. Aryabhata gives a systematic treatment of the position of the planets in space. He believed that the apparent rotation of the heavens was due to the axial rotation of the Earth.
This is a quite remarkable view of the nature of the solar system which later commentators could not bring themselves to follow and most changed the text to save Aryabhata from what they thought were stupid errors!
He believes that the Moon and planets shine by reflected sunlight, incredibly he believes that the orbits of the planets are ellipses. He correctly explains the causes of eclipses of the Sun and the Moon. The Indian belief up to that time was that eclipses were caused by a demon called Rahu.
His value for the length of the year at days 6 hours 12 minutes 30 seconds is an overestimate since the true value is less than days 6 hours.
References show. Biography in Encyclopaedia Britannica. R Behari, Aryabhata as a mathematician, Indian J. History Sci. Calcutta Math. K Elfering, The area of a triangle and the volume of a pyramid as well as the area of a circle and the surface of the hemisphere in the mathematics of Aryabhata I, Indian J. Ganitanand, Some mathematical lapses from Aryabhata to Ramanujan, Ganita Bharati 18 1 - 4 , 31 - Education 10 4 , B 69 -B Education 10 2 , B 21 -B Education 7 , B 17 -B P Jha, Aryabhata I : the man and author, Math.
Siwan 17 2 , 50 - Siwan 16 3 , 54 - S Kak, The Aryabhata cipher, Cryptologia 12 2 , -
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