Bijaganita.

 

Bijaganita (IAST: Bījagaṇita) was treatise on algebra 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.

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.

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.