ब्राह्मस्फुटसिद्धान्त

Brāhmasphuṭasiddhānta

Composed by Brahmagupta in 628 CE, the Brāhmasphuṭasiddhānta is a landmark of both astronomy and mathematics. Alongside methods for computing planetary positions and eclipses, it sets out explicit rules for arithmetic with zero and negative numbers, solutions of quadratic equations, and celebrated results in geometry such as the area of a cyclic quadrilateral. Its influence reached the Islamic world through Arabic translation. Across four volumes, this course reads the text as genuine science, verse by verse, in its historical context.

What you will learn

• Brahmagupta's rules for zero, negative numbers and quadratic equations
• Classical Indian methods for planetary positions and eclipses
• The text's place in the global history of mathematics

Lessons

1. 1Orientation: Brahmagupta and the siddhānta tradition🔒 Unlocks after enrolment
2. 2Time, the calendar and mean motions🔒 Unlocks after enrolment
3. 3True planetary positions and eclipses🔒 Unlocks after enrolment
4. 4Arithmetic with zero and negative numbers🔒 Unlocks after enrolment
5. 5Algebra: quadratic and indeterminate equations🔒 Unlocks after enrolment
6. 6Geometry, the cyclic quadrilateral and legacy🔒 Unlocks after enrolment