Aryabhatta 1 biography

Consequently, he would have spent a large amount of time here to achieve the status of the master astronomer as a consequence of this. There probably weren't many other options available to him back in the classical period, when the number of institutes teaching astronomy was probably very small. According to some historians, Aryabhata may have been in control of the Nalanda University, despite the lack of evidence to back this up.

However, there are many who believe Aryabhata went on to build a real observatory at Taregana as part of the Sun temple. It is almost clear that he traveled to Kusumapura for higher studies at some point and that he stayed there for a period of time. Bhaskara I CEa Hindu and Buddhist tradition, as well as historical records, all identify Kusumapura as Paaliputra, the contemporary city of Patna.

Poemists have speculated that the university of Nalanda, situated in Pataliputra at the time, possessed an astronomical observatory, which suggests that Aryabhatta was also in charge of the university of Nalanda. Aryabhatta is also credited with establishing an observatory at the Sun Temple in Taregana, Bihar, which is still in use today.

Aryabhatta 1 biography: Aryabhata (ISO: Āryabhaṭa) or

The Aryabhatiya is widely regarded as Aryabhata's crowning achievement. He wrote numerous treatises throughout his career, and this was one of them. It is unfortunate that not all of what he had written is still available. Historians can only conjecture as to what could have been the tremendous importance of his works that have been lost.

Mathematics and astronomy were well-represented in the Aryabhatiyawhich was a comprehensive treatise. But it in fact contains eleven giti stanzas and two arya stanzas. Van der Waerden suggests that three verses have been added and he identifies a small number of verses in the remaining sections which he argues have also been added by a member of Aryabhata's school at Kusumapura.

It also contains continued fractionsquadratic equationssums of power series and a table of sines. Let us examine some of these in a little more detail. It consists of giving numerical values to the 33 consonants of the Indian alphabet to represent 123The higher numbers are denoted by these consonants followed by a vowel to obtain, Ifrah in [ 3 ] argues that Aryabhata was also familiar with numeral symbols and the place-value system.

He writes in [ 3 ] This supposition is based on the following two facts: first, the invention of his alphabetical counting system would have been impossible without zero or the place-value system; secondly, he carries out calculations on square and cubic roots which are impossible if the numbers in question are not written according to the place-value system and zero.

The problem arose from studying the problem in astronomy of determining the periods of the planets.

Aryabhatta 1 biography: Aryabhata (born , possibly Ashmaka or

Aryabhata uses the kuttaka method to solve problems of this type. The word kuttaka means "to pulverise" and the method consisted of breaking the problem down into new problems where the coefficients became smaller and smaller with each step. The method here is essentially the use of the Euclidean algorithm to find the highest common factor of a a a and b b b but is also related to continued fractions.

By this rule the relation of the circumference to diameter is given. Aryabhata does not explain how he found this accurate value but, for example, Ahmad [ 5 ] considers this value as an approximation to half the perimeter of a regular polygon of sides inscribed in the unit circle. However, in [ 9 ] Bruins shows that this result cannot be obtained from the doubling of the number of sides.

There are reasons to believe that Aryabhata devised a aryabhatta 1 biography method for finding this value. It is shown with sufficient grounds that Aryabhata himself used it, and several later Indian mathematicians and even the Arabs adopted it. We now look at the trigonometry contained in Aryabhata's treatise. It is 40, km according to modern scientific calculations.

He names the first 10 decimal places and gives algorithms for obtaining square and cubic roots, using the decimal. Area of Triangle: Aryabhatta correctly calculated the areas of a triangle and of a circle. Other contributions: Mathematical series, quadratic equations, compound interest involving a quadratic equationproportions ratiosand the solution of various linear equations among the arithmetic and algebraic topics included.

Legacy of Aryabhatta The calendrical calculations introduced by Aryabhata and his followers have been in continuous use in India for the practical purposes of preparing the Panchangam Hindu calendar. The award is presented to individuals with notable lifetime contributions in the field of astronautics and aerospace technology in India. Aryabhatta FAQs Q1.

What are the main contributions of Aryabhatta? Different Types of History. Pearson Education India. Yadav 28 October Ancient Indian Leaps into Mathematics. Retrieved 20 June Sarma Indian Journal of History of Science. Archived from the original PDF on 31 March March Bulletin of the Astronomical Society of India. Bibcode : BASI An Introduction to the History and Philosophy of Science.

Balachandra Rao Indian Astronomy: An Introduction. Orient Blackswan. Satpathy Ancient Indian Astronomy. Alpha Science Int'l Ltd. Classical Muhurta. Kala Occult Publishers. This is not the Lanka that is now known as Sri Lanka; Aryabhata is very clear in stating that Lanka is 23 degrees south of Ujjain. Pujari; Pradeep Kolhe; N. Kumar Motilal Banarsidass Publ.

History of Mathematics: A Brief Course. Aryabhata himself one of at least two mathematicians bearing that name lived in the late 5th and the early 6th centuries at Kusumapura Pataliutraa village near the city of Patna and wrote a book called Aryabhatiya. Archived from the original PDF on 21 July Retrieved 9 December Gujarati Vishwakosh.

Aryabhatta 1 biography: Aryabhata is famous for being

Maths History. University of St. Ifrah History of Hindu Mathematics. Asia Publishing House, Bombay. Geometry: Seeing, Doing, Understanding Third ed. New York: W. Freeman and Company. Balachandra Rao [First published ]. Indian Mathematics and Astronomy: Some Landmarks. Bangalore: Jnana Deep Publications. Aryabhata gave the correct rule for the area of a triangle and an incorrect rule for the volume of a pyramid.

Aryabhatta 1 biography: Aryabhata I was an Indian mathematician

He claimed that the volume was half the height times the area of the base. An Introduction to the History of Mathematics 6 ed. A History of Mathematics Second ed. He gave more elegant rules for the sum of the squares and cubes of an initial segment of the positive integers. The sixth part of the product of three quantities consisting of the number of terms, the number of terms plus one, and twice the number of terms plus one is the sum of the squares.

The square of the sum of the series is the sum of the cubes. O'Connor and E. Robertson, Aryabhata the Elder Archived 19 October at the Wayback MachineMacTutor History of Mathematics archive : "He believes that the Moon and planets shine by reflected sunlight, incredibly he believes that the orbits of the planets are ellipses. Translation from K.

Shukla and K. Sarma, K. Quoted in Plofker