Bhaskaracharya biography of alberta

Bhaskara II wrote the first work with full and systematic use of the decimal number system and also wrote extensively on other mathematical techniques and on his astronomical observations of planetary positions, conjunctions, eclipses, cosmography, and geography. In recognition of his invaluable contributions, to mathematics and astronomy, he has been called the greatest mathematician of medieval India.

He made many significant contributions to mathematics, throughout his career. His work on calculus was groundbreaking and much ahead of his times. He not only discovered the principles of differential calculus and its application to astronomical problems and computations but also determined solutions of linear and quadratic indeterminate equations Kuttaka.

The works in calculus performed by the European mathematicians of the 17th century is comparable to the rules he had discovered, way back in the 12th century. Composed in the Sanskrit Language, the treatise consists of verses. In many ways Bhaskaracharya represents the peak of mathematical knowledge in the 12 th century. He reached an understanding of the number systems and solving equations which was not to be achieved in Europe for several centuries.

Six works by Bhaskaracharya are known but a seventh work, which is claimed to be by him, is thought by many historians to be a late forgery. The six works are: Lilavati The Beautiful which is on mathematics; Bijaganita Seed Counting or Root Extraction which is on algebra; the Siddhantasiromani which is in two parts, the first on mathematical astronomy with the second part on the sphere; the Vasanabhasya of Mitaksara which is Bhaskaracharya's own commentary on the Siddhantasiromani ; the Karanakutuhala Calculation of Astronomical Wonders or Brahmatulya which is a simplified bhaskaracharya biography of alberta of the Siddhantasiromani ; and the Vivarana which is a commentary on the Shishyadhividdhidatantra of Lalla.

It is the first three of these works which are the most interesting, certainly from the point of view of mathematics, and we will concentrate on the contents of these. Given that he was building on the knowledge and understanding of Brahmagupta it is not surprising that Bhaskaracharya understood about zero and negative numbers. Bhaskara is mainly remembered for his A.

The treatise comprises verses which have four segments. Each segment of the book focuses on a separate field of astronomy and mathematics. Lilavati is composed in verse form so that pupils could memorise the rules without the need to refer to written text. Some of the problems in Leelavati are addressed to a young maiden of that same name.

There are several stories around Lilavati being his daughter Lilavati has thirteen chapters which include several methods of computing numbers such as multiplications, squares, and progressions, with examples using kings and elephants, objects which a common man could easily associate with. Tell me, beautiful girl, how many bees were in the swarm?

The Bijaganita is a work in twelve chapters. Bjiganita is all about algebra, including the first written record of the positive and negative square roots of numbers. He expanded the previous works by Aryabhata and Brahmagupta, Also to improve the Kuttaka methods for solving equations.

Bhaskaracharya biography of alberta: Bhaskara Setupati (). Raja of Ramnad,

Kuttak means to crush fine particles or to pulverize. Kuttak is nothing but the modern indeterminate equation of first order. There are many kinds of Kuttaks. He concluded that dividing by zero would produce an infinity. This is considered a flawed solution and it would take European mathematicians to eventually realise that dividing by zero was impossible.

Some of the other topics in the book include quadratic and simple equations, along with methods for determining surds. Likewise, nothing happens to the number infinity when any other number enters i. It remains unchanged. The third book or the Grahaganita deals with mathematical astronomy. The concepts are derived from the earlier works Aryabhata.

Throughout the twelve chapters, Bhaskara discusses topics related to mean and true longitudes and latitudes of the planets, as well as the nature of lunar and solar eclipses. Astronomy [ edit ]. Engineering [ edit ]. Legends [ edit ]. Legacy [ edit ].

Bhaskaracharya biography of alberta: The armillary sphere is

See also [ edit ]. Notes [ edit ]. References [ edit ]. Katz, ed. Princeton University press. ISBN Mate; G. Kulkarni, eds. Studies in Indology and Medieval History: Prof. Khare Felicitation Volume. OCLC Ramesh; S. Tewari; M. Sharma, eds.

Bhaskaracharya biography of alberta: Alberta Sturges (?). Daughter of

Gai Felicitation Volume. Agam Kala Prakashan. Saraswathi Cultural Leaders of India - Scientists. Thakurdesai, Manovikas, First Edition 23, December Deshasthas have contributed to mathematics and literature as well as to the cultural and religious heritage of India. Bhaskaracharaya was one of the greatest mathematicians of ancient India. Prof Sudakara Divedi3.

Govt of Karnataka Publications, 5. Dr Nararajan Lilavati6.