Bijaganita
Bijaganita was Indian mathematician Bhāskara II's treatise on algebra. It is the second volume of his main work Siddhānta Shiromani, Sanskrit for "Crown of treatises,"[1] alongside Lilāvati, Grahaganita and Golādhyāya.[2][3]
Contents
The book is divided into six parts, mainly indeterminate equations, quadratic equations, simple equations, surds. The contents are:
- Introduction
- On Simple Equations
- On Quadratic Equations
- On Equations involving indeterminate Questions of the 1st Degree
- On Equations involving indeterminate Questions of the 2nd Degree
- On Equations involving Rectangles
In Bijaganita Bhāskara II refined Jayadeva's way of generalization of Brahmagupta's approach to solving indeterminate quadratic equations, including Pell's equation which is known as chakravala method or cyclic method. Bijaganita is the first text to recognize that a positive number has two square roots
Translations
The translations or editions of the Bijaganita into English include:
- 1817. Henry Thomas Colebrooke, Algebra, with Arithmetic and mensuration, from the Sanscrit of Brahmegupta and Bháscara
- 1813. Ata Allah ibn Ahmad Nadir Rashidi; Samuel Davis
- 1813. Strachey, Edward, Sir, 1812–1901
- Bhaskaracharya's Bijaganita and its English and Marathi Translation by Prof. S. K. Abhyankar
Two notable Scholars from Varanasi Sudhakar Dwivedi and Bapudeva Sastri studied Bijaganita in the nineteenth century.
See also
- Indian mathematics
- Timeline of algebra and geometry
References
- Plofker 2009, p. 71.
- Poulose 1991, p. 79.
- Bijaganita Britannica.com
Bibliography
- Plofker, Kim (2009), Mathematics in India, Princeton University Press, ISBN 9780691120676
- Poulose, K. G. (1991), K. G. Poulose (ed.), Scientific heritage of India, mathematics, Volume 22 of Ravivarma Samskr̥ta granthāvali, Govt. Sanskrit College (Tripunithura, India)