Līlāvatī

0 learners · 76 lessons · 1520 minutes · ₹250

Taught by Acharya T Krishnatrey

Vedic scholar. Founder of VidyāSetu.

Curriculum

परिचय · Introduction

Līlāvatī — Mathematics as Play — free to read (20 min)
What You Will Be Able to Do (20 min)
Course Metadata (20 min)
The Story of the Book (20 min)
Illustration — The Four Parts of the Siddhānta Śiromaṇi (20 min)
The Opening Invocation (Maṅgalācaraṇa) (20 min)
The Invocation — Sanskrit, Meaning, Commentary (20 min)
Illustration — Maṅgala, Sūtra, Udāharaṇa (20 min)
Bhāskarācārya — The Author (20 min)
Illustration — Bhāskarācārya and His Legacy (20 min)
Where the Līlāvatī Sits — the Siddhānta Śiromaṇi (20 min)
The Four Parts (20 min)
Structure of the Līlāvatī — the vyavahāras (20 min)
Comparative Knowledge — Arithmetic Around the World, c. 1150 CE (20 min)
Checkpoint — Foundations of the Book (20 min)

परिभाषा · Paribhāṣā (Arithmetic Foundations)

परिभाषा · Chapter Overview — free to read (20 min)
Chapter 1 · Paribhāṣā — Number, Place and the Eight Operations (20 min)
Illustration — Foundations: Place Value, Operations, Zero (20 min)
Place Value and the Eight Operations (20 min)
Knowledge Check — The Eight Operations (20 min)
Fractions (Bhinna-parikarma) (20 min)
Operations with Zero — and Division by Zero (Khahara) (20 min)
Zero — Sanskrit, Meaning, Commentary (20 min)
Reflection — Divide by Zero (20 min)
Checkpoint — Foundations (20 min)

प्रकीर्णक · Prakīrṇaka (Inversion & False Position)

प्रकीर्णक · Chapter Overview — free to read (20 min)
Chapter 2 · Prakīrṇaka — Inversion and False Position (20 min)
The Swarm of Bees — a problem-poem (20 min)
Illustration — A Swarm of Bees (20 min)
The Bees — Method and Answer (20 min)
The Broken Necklace — a problem-poem (20 min)
Illustration — The Broken Necklace (20 min)
The Necklace — Method and Answer (20 min)
Reflection — One Method, Many Poems (20 min)

त्रैराशिक · Trairāśika (The Rule of Three)

त्रैराशिक · Chapter Overview — free to read (20 min)
Chapter 3 · Trairāśika — The Rule of Three (20 min)
The One Rule Behind All Trade (20 min)
Three Quantities — pramāṇa, phala, icchā (20 min)
Rule of Three — a Worked Example (20 min)

मिश्रक · Miśraka (Mixtures)

मिश्रक · Chapter Overview — free to read (20 min)
Chapter 4 · Miśraka — Mixtures: Interest, Partnership, Alligation (20 min)
The Three Mixture Problems (20 min)

श्रेढी · Śreḍhī (Series & Progressions)

श्रेढी · Chapter Overview — free to read (20 min)
Chapter 5 · Śreḍhī — Series and Progressions (20 min)
Summing a Series (20 min)

क्षेत्र · Kṣetra (Plane Figures & π)

क्षेत्र · Chapter Overview — free to read (20 min)
Chapter 6 · Kṣetra — Plane Figures, the Circle and π (20 min)
Illustration — Series, Geometry and Mensuration (20 min)
Areas and the Pythagorean Relation (20 min)
The Value of π (the circumference verse) (20 min)
π — Sanskrit, Meaning, Commentary (20 min)
The Peacock and the Snake — geometry as a poem (20 min)
The Peacock and the Snake — Worked (20 min)
Illustration — The Peacock and the Snake (20 min)
Checkpoint — Plane Geometry (20 min)

घनगणित · Solids (Excavations, Stacks, Grain)

घनगणित · Chapter Overview — free to read (20 min)
Chapter 7 · Solids — Excavations, Stacks, Timber and Grain (20 min)
The Four Solid "Dealings" (20 min)

छाया · Chāyā (Shadows & the Gnomon)

छाया · Chapter Overview — free to read (20 min)
Chapter 8 · Chāyā — Shadows and the Gnomon (20 min)
Shadows Are Proportion (20 min)

कुट्टक · Kuṭṭaka (Indeterminate Equations)

कुट्टक · Chapter Overview — free to read (20 min)
Chapter 9 · Kuṭṭaka — The Pulverizer (Indeterminate Equations) (20 min)

अङ्कपाश · Aṅkapāśa (Permutations & Combinations)

अङ्कपाश · Chapter Overview — free to read (20 min)
Chapter 10 · Aṅkapāśa — Permutations and Combinations (20 min)
The Net of Digits (20 min)
Aṅkapāśa — a Worked Example (20 min)
Illustration — Why the Līlāvatī Endured (20 min)

उपसंहार · Legacy & Review

Key Sanskrit / Technical Vocabulary — free to read (20 min)
Common Misconceptions (20 min)
Frequently Asked Questions (20 min)
Practical Applications & Legacy (20 min)
Why the Līlāvatī Endured (20 min)
Your Capstone Project (20 min)
A Closing Image (20 min)
About the Images in This Course (20 min)