Mādhava's Sphuṭacandrāpti — the True Moon and the Infinite Series

0 learners · 29 lessons · 580 minutes · ₹250

Taught by Acharya T Krishnatrey

Vedic scholar. Founder of VidyāSetu.

Curriculum

परिचय · Introduction

Mādhava of Saṅgamagrāma — the Founder of the Kerala School — free to read (20 min)
What You Will Be Able to Do (20 min)
Course Metadata (20 min)
An Honest Word About the Sources (20 min)
A Historical Timeline (20 min)

स्फुटचन्द्राप्तिः · Computing the True Moon

स्फुटचन्द्राप्तिः · Chapter Overview — free to read (20 min)
The Invocation (Sphuṭacandrāpti 1) (20 min)
Mādhava Names Himself (Sphuṭacandrāpti 4) (20 min)
What This Work Does (Sphuṭacandrāpti 2) (20 min)
The Core Rule — Numbers Hidden in Words (Sphuṭacandrāpti 5) (20 min)
Kaṭapayādi — the Numbers Inside the Words (20 min)
Building the Nine Sentences (Sphuṭacandrāpti 7) (20 min)
Climbing the Bamboo (Sphuṭacandrāpti 13) (20 min)

अनन्तश्रेढी · The Infinite Series

अनन्तश्रेढी · Chapter Overview — free to read (20 min)
The Series for π (quoted in the Kriyākramakarī) (20 min)
The Series for π — Commentary (20 min)
Stopping "Out of Weariness" — the End-Correction (20 min)
The Series for the Sine (Yuktidīpikā 2.440–441) (20 min)
The Sine Series — Commentary (20 min)
The Series for the Versine (Yuktidīpikā 2.442–443) (20 min)
π to Eleven Decimal Places (quoted in the Kriyākramakarī) (20 min)
π to Eleven Places — Commentary (20 min)

विरासत · Legacy & Review

What Historians of Mathematics Recognise — free to read (20 min)
Comparative Knowledge — Series and the Calculus (20 min)
Key Sanskrit Vocabulary (20 min)
Common Misconceptions (20 min)
Frequently Asked Questions (20 min)
Practical & Reflective Wisdom (20 min)
Your Capstone Project (20 min)