BIJAGANITA OF BHASKARA 2 PDF

It was the first text to recognize that a positive number has two square roots a positive and negative square root. His work Bijaganita is effectively a treatise on algebra and contains the following topics:. View more posts. You are commenting using your WordPress. You are commenting using your Google account.

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Since he is known in India as Bhaskaracharya we will refer to him throughout this article by that name. Bhaskaracharya's father was a Brahman named Mahesvara. Mahesvara himself was famed as an astrologer. This happened frequently in Indian society with generations of a family being excellent mathematicians and often acting as teachers to other family members.

Bhaskaracharya became head of the astronomical observatory at Ujjain, the leading mathematical centre in India at that time. Outstanding mathematicians such as Varahamihira and Brahmagupta had worked there and built up a strong school of mathematical astronomy. 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 version 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.

However his understanding went further even than that of Brahmagupta. References show. Biography in Encyclopaedia Britannica. G Ifrah, A universal history of numbers : From prehistory to the invention of the computer London, G G Joseph, The crest of the peacock London, Education 7 , A 49 -A Student 18 , V Madhukar Mallayya and K Jha, Bhaskara's concept of numeration in decuple proportions - earliest reference in Vedas with Yaska's 'Nirukta' throwing light on the notion of succession in enumeration : an anticipation of Peano's axioms, Ganita-Bharati 17 1 - 4 , 85 - Allahabad Univ.

D A Somayaji, Bhaskara's calculations of the gnomon's shadow, Math. Student 18 , 1 - 8. Additional Resources show. Other pages about Bhaskara II: Pell's equation. Honours show. Cross-references show.

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Bijaganita

Bhaskara was head of an astronomical observatory at Ujjain, the leading mathematical centre of ancient India. He lived in the Sahyadri region. Bhaskara and his works represent a significant contribution to mathematical and astronomical knowledge in the 12th century. His main works were the Lilavati dealing with arithmetic , Bijaganita Algebra and Siddhanta Shiromani written in which consists of two parts: Goladhyaya sphere and Grahaganita mathematics of the planets. The solution to this equation was traditionally attributed to William Brouncker in , though his method was more difficult than the chakravala method.

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Bhāskara II

He was born in Bijapur in Karnataka. He has been called the greatest mathematician of medieval India. He was perhaps the first to conceive the differential coefficient and differential calculus. He lived in the Sahyadri region Patnadevi, in Jalgaon district, Maharashtra. History records his great-great-great-grandfather holding a hereditary post as a court scholar, as did his son and other descendants.

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Bhaskara II Bijaganita (“Algebra”)

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