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:

Two notable Scholars from Varanasi Sudhakar Dwivedi and Bapudeva Sastri studied Bijaganita in the nineteenth century.

gollark: This would preclude MANY things.
gollark: Well, I don't want to die or anything?
gollark: I mostly just answer the issues every few weeks.
gollark: It's fascinating emergent behavior.
gollark: I fixed it by making thing of things into a dictatorship controlled only by me.

See also

References
  1. Plofker 2009, p. 71.
  2. Poulose 1991, p. 79.
  3. 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)
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