🔬 Discovery

Yuktibhasa: proofs of infinite series

Yuktibhasa: demostraciones de las series infinitas

Date
c. 1530 · confidence medium
Place
Alathiyur, Malappuram, Kerala, India
Credited to
Jyeshthadeva
People
👤 Jyeṣṭhadeva1500–1575
Field
Knowledge & symbols

⚠️ Disputed: the sources disagree.

What was discovered

Treatise in Malayalam that sets out, with proofs, Madhava's infinite series for π, sine and cosine, using sums of powers and passages to the limit. It is considered the first text with proofs of results belonging to calculus.

It has been speculated that this knowledge was transmitted to Europe via Jesuits in Kerala, without documentary proof.

What it led to

  • transmission of the knowledge of the Kerala school
  • modern recognition of Kerala's priority in series
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Sources✓ verified 2026-09-25