Indian Mathematics: 8 key ideas
The core ideas of Indian Mathematics, each in under a minute, written in our own words. Want the full depth? Get the book.
- IDEA 1 OF 8
Indian mathematics has deep roots
Joseph traces Indian mathematics back to ancient texts, showing a long tradition of calculation and reasoning.
He argues it deserves more recognition in world history. Its story is often missing from textbooks.
- IDEA 2 OF 8
Altar building required geometry
Joseph describes the Sulbasutras, texts with rules for constructing ritual altars.
These rules include geometric ideas, such as relationships among the sides of right triangles. Geometry served religious needs from very early times.
- IDEA 3 OF 8
Place value transformed calculation
Joseph explains the Indian development of a decimal place-value system with zero.
This system made arithmetic far easier and spread across the world. Merchants and scholars everywhere eventually adopted it.
- IDEA 4 OF 8
Aryabhata advanced astronomy and maths
Joseph describes Aryabhata's work on astronomy, arithmetic and trigonometry.
His ideas influenced later scholars in India and beyond. His calculations of planetary motion and the value of pi were remarkably accurate for his time.
- IDEA 5 OF 8
Brahmagupta treated zero as a number
Joseph explains Brahmagupta's rules for calculating with zero and negative numbers.
This was a major step in the history of algebra. He set out rules for adding and multiplying these numbers.
- IDEA 6 OF 8
Kerala mathematicians found infinite series
Joseph describes the Kerala school, especially Madhava, who found infinite series for trigonometric functions.
These results came centuries before similar work in Europe. Their methods were careful and original. Proof was valued.
- IDEA 7 OF 8
Ideas travelled widely
Joseph discusses how Indian mathematical ideas spread to the Arab world and Europe.
He also considers whether Kerala work may have reached Europe through trade. The evidence for this remains debated.
- IDEA 8 OF 8
History must be told fairly
Joseph argues that histories focused only on Europe overlook contributions from India and elsewhere.
A fuller picture shows mathematics as a global achievement. Many cultures contributed to what we learn today.
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