The Brāhmasphuṭasiddhānta

0 learners · 51 lessons · 1020 minutes · ₹250

Taught by Acharya T Krishnatrey

Vedic scholar. Founder of VidyāSetu.

Curriculum

परिचय · Introduction

The Brāhmasphuṭasiddhānta — Where Zero Became a Number — free to read (20 min)
What You Will Be Able to Do (20 min)
Course Metadata (20 min)
The Idea That Changed the World (20 min)
A Historical Timeline (20 min)
Illustration — The Idea That Changed the World (20 min)

शून्यम् एवं ऋणधनम् · Zero & Negatives

शून्यम् एवं ऋणधनम् · Chapter Overview — free to read (20 min)
Chapter 18 · The Arithmetic of Zero and Negatives (20 min)
Fortunes, Debts and Zero — Commentary (20 min)
Illustration — The Arithmetic of Zero and Negatives (20 min)
Subtraction — When the Sign Reverses (18.31) (20 min)
Multiplication — the Rule of Signs (18.33) (20 min)
The Rule of Signs — Commentary (20 min)
Illustration — The Universal Rules of Signs (20 min)
Division — and Zero Divided by Zero (18.34) (20 min)
Dividing BY Zero — the Khaccheda (18.35) (20 min)
The One Honest Slip — Dividing by Zero (20 min)
Illustration — Division, and the Mystery of Zero (20 min)

क्षेत्रगणितम् · Geometry

क्षेत्रगणितम् · Chapter Overview — free to read (20 min)
Chapter 12 · Brahmagupta's Geometry (20 min)
Brahmagupta's Formula — Gross and Exact Area (12.21) (20 min)
Brahmagupta's Formula — Commentary (20 min)
The Two Diagonals (12.28) (20 min)
The Right Triangle (12.24) (20 min)
The Circle — Two Values of π (12.40) (20 min)
Illustration — Kṣetragaṇita (20 min)

बीजगणितम् एवं भावना · Algebra & the Bhāvanā

बीजगणितम् एवं भावना · Chapter Overview — free to read (20 min)
The Eight Branches of Algebra (18.2) (20 min)
The Kuṭṭaka — the Pulveriser (18.3) (20 min)
The Bhāvanā — Composing Solutions (18.64–65) (20 min)
The Bhāvanā — Commentary (20 min)
Solving the Quadratic (18.44) (20 min)
Illustration — Bījagaṇita and the Bhāvanā (20 min)

खगोलः एवं अन्तरगणना · Astronomy & Interpolation

खगोलः एवं अन्तरगणना · Chapter Overview — free to read (20 min)
Astronomy — Computing the Heavens (20 min)
Why "Sphuṭa"? Brahmagupta's Own Purpose (1.2) (20 min)
The Sphere of Luminaries (1.3) (20 min)
The Earth is a Globe Standing in Space (21.3) (20 min)
Second-Order Interpolation (Khaṇḍakhādyaka IX.8) (20 min)
Second-Order Interpolation — Commentary (20 min)
Correcting a Predecessor (1.9) (20 min)
The Honest Limits of an Age (20 min)
Illustration — Astronomy and Interpolation (20 min)

विरासत · The Journey of Zero & Legacy

The Journey of Zero to the World — free to read (20 min)
Comparative Knowledge — The Story of Zero (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)