''Bijaganita'' (
IAST: ') was treatise on
algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics.
Elementary ...
by the Indian mathematician
Bhāskara II. It is the second volume of his main work ''
Siddhānta Shiromani (''"Crown of treatises") alongside ''
Lilāvati'', ''Grahaganita'' and ''Golādhyāya''.
Bijaganita
Britannica.com
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
Jayadeva (; born ), also spelt Jaideva, was a Sanskrit poet during the 12th century. He is most known for his epic poem '' Gita Govinda'' which concentrates on Krishna's love with the '' gopi'', Radha, in a rite of spring. This poem, which pres ...
's way of generalization of Brahmagupta's approach to solving indeterminate quadratic equations, including Pell's equation which is known as chakravala method
The ''chakravala'' method ( sa, चक्रवाल विधि) is a cyclic algorithm to solve indeterminate quadratic equations, including Pell's equation. It is commonly attributed to Bhāskara II, (c. 1114 – 1185 CE)Hoiberg & Ramchandani ...
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
Bibliography
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External links
Hindi translation by Durga Prasad
{{Indian mathematics
Indian mathematics
Social history of India
History of science and technology in India
History of algebra
12th-century books
Sanskrit texts