The Laghumānasa of Mañjula — the Dawn of Calculus

0 learners · 29 lessons · 580 minutes · ₹250

Taught by Acharya T Krishnatrey

Vedic scholar. Founder of VidyāSetu.

Curriculum

परिचय · Introduction

Mañjula and the Laghumānasa — Finding the True Moon — free to read (20 min)
What You Will Be Able to Do (20 min)
Course Metadata (20 min)
A Small Correction, a Giant Idea (20 min)
A Historical Timeline (20 min)
Illustration — A Small Correction, a Giant Idea (20 min)

लघुमानस · Mañjula's Laghumānasa & the True Moon

लघुमानस · Chapter Overview — free to read (20 min)
Mañjula Introduces His Work (Laghumānasa I.1) (20 min)
The Problem of the True Moon (20 min)
The Sine and its Differences (Āryabhaṭīya, Gaṇitapāda 12) (20 min)
The Sine-Differences — Commentary (20 min)
Mañjula's Differential — the Gatiphala (Laghumānasa III.14) (20 min)
The Derivative of the Sine — Commentary (20 min)
Illustration — The True Moon and the Rate of Motion (20 min)

कलन-परम्परा · The Indian Lineage of Calculus

कलन-परम्परा · Chapter Overview — free to read (20 min)
Āryabhaṭa's Sine Table — the Foundation (Gītikāpāda 12) (20 min)
Bhāskara II — Instantaneous Motion (Siddhānta Śiromaṇi) (20 min)
Instantaneous Motion — Commentary (20 min)
"Not the Same at Every Instant" (Bhāskara II) (20 min)
Mādhava and the Kerala School (20 min)
Illustration — The Lineage of Calculus (20 min)

विरासत · Legacy & Review

Why Mañjula Matters — free to read (20 min)
Comparative Knowledge — Roads to 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)
About the Images in This Course (20 min)