- Lived:
- c. 1340–1425 — the dates are inferred, from the 1400 epoch of his own Veṇvāroha and the lifetime of his pupil; born at Saṅgamagrāma, "confluence village," usually identified with Irinjalakuda in central Kerala, though even his address is debated. The work lived on for 250 years in villages along the Nila river.
- Field:
- mathematics and astronomy — founder of the Kerala school, the longest-running research lineage in Indian science
- The Big Idea:
- You can never finish computing π or a sine — so stop trying to finish. Describe the unending process exactly, as an infinite series, and control the error of stopping wherever you stop. That is the central machinery of calculus, built two and a half centuries before Newton and Leibniz.
- In their words:
- "Gods, eyes, elephants, serpents, fires, three, qualities, Vedas, the lunar mansions, elephants, arms — the wise say this is the circumference when the diameter is nine hundred thousand million." (a π-verse his school transmits under Mādhava's name: the word-numerals encode 2,827,433,388,233, and the ratio is π correct to eleven decimal places)
- If you remember one thing:
- A teacher in a fourteenth-century Kerala village invented the essential move of calculus — taming the infinite with controlled error — and we know it only because his students' students spent two hundred years quoting him, proving him, and writing him down.