Vedic Math: Foundations to Reference Applications

Vedic Math Complete — 84 Lessons

Lesson 01 — Complements — See the Distance to 10, 100, and 1000
Lesson 02 — Subtract from a Round Base
Lesson 03 — Multiply by 11 with a Carry Rail
Lesson 04 — Squares Ending in 5: Build the Pattern
Lesson 05 — Multiply Below 100
Lesson 06 — Multiply Above and Across 100
Lesson 07 — Multiply by 9, 99, and 999
Lesson 08 — Two-Digit Crosswise Multiplication
Lesson 09 — Squares Near a Base
Lesson 10 — Error Detective: What Digit Sums Can Check
Lesson 11 — Lightning Addition by Compensation
Lesson 12 — Divide by 9 and Check the Remainder
Lesson 13 — Choose a Friendly Base
Lesson 14 — Scale the Base with Place Value
Lesson 15 — Above, Below, and Across a Base
Lesson 16 — Estimate First, Then Decide
Lesson 17 — Three-Digit Crosswise: Build the Columns
Lesson 18 — Three-Digit Crosswise: Carry Safely
Lesson 19 — Pick the Right Multiplication Tool
Lesson 20 — General Squares Have Structure
Lesson 21 — Difference of Squares as a Check
Lesson 22 — Divisibility and Digit-Sum Limits
Lesson 23 — Quotient and Remainder Always Agree
Lesson 24 — Divisors Near a Base
Lesson 25 — When the Standard Method Wins
Lesson 26 — Strategy Builder Challenge
Lesson 27 — Expand Binomial Products
Lesson 28 — Difference of Squares in Context
Lesson 29 — Complete a Square Visually
Lesson 30 — Higher-Place Crosswise Layout
Lesson 31 — Carry Tables and Error Traps
Lesson 32 — Multiplication Method Comparison Lab
Lesson 33 — Perfect-Square Clues
Lesson 34 — Square Roots of Declared Perfect Squares
Lesson 35 — Cube Structure
Lesson 36 — Recognize Selected Perfect Cubes
Lesson 37 — Complementary-Divisor Ideas
Lesson 38 — Division Strategy Choice
Lesson 39 — Modular Checks Beyond One Digit Sum
Lesson 40 — Factors and Divisibility Reasoning
Lesson 41 — Teach One Method Clearly
Lesson 42 — Advanced Applications Capstone
Lesson 43 — Vinculum Digits: Read, Convert, and Normalize
Lesson 44 — Same Leading Part, Tails Total a Base
Lesson 45 — Multiply by 12 with Neighbor Addition
Lesson 46 — Aliquot Parts: Multiply and Divide by 5, 25, and 125
Lesson 47 — Crosswise Multiplication of Polynomials
Lesson 48 — Duplex Squaring of Any Whole Number
Lesson 49 — Square Roots by Duplex: Exact Cases
Lesson 50 — Cubes Near a Base
Lesson 51 — Cube Any Two-Digit Number by Place Value
Lesson 52 — Cube Roots of Exact Three-Digit Cubes
Lesson 53 — Divide by a Divisor Just Above a Base
Lesson 54 — Straight Division with a Flag Digit
Lesson 55 — The 1001 Test for 7, 11, and 13
Lesson 56 — Osculation: Divisibility by 17, 19, 29, and 31
Lesson 57 — Block Osculators and Composite Divisors
Lesson 58 — Recurring Decimals from Remainders
Lesson 59 — Auxiliary Fractions for Denominators Ending 1, 3, 7, or 9
Lesson 60 — Turn a Recurring Decimal Back into a Fraction
Lesson 61 — Factor Quadratics: First by First, Last by Last
Lesson 62 — Factorisation Checks at 1 and −1
Lesson 63 — Argumental Division: Infer the Quotient Shape
Lesson 64 — Highest Common Factor of Polynomials
Lesson 65 — Same-Sum Equations: When the Samuccaya Is Zero
Lesson 66 — Ratio Equations: When One Is in Ratio, the Other Is Zero
Lesson 67 — Solve by Addition and Subtraction
Lesson 68 — General Two-Variable Equations by Cross-Multiplication
Lesson 69 — Complete a Cubic or a Biquadratic into Structure
Lesson 70 — Quadratic Roots from a Derivative–Discriminant Relation
Lesson 71 — Part and Whole: Symmetry in Biquadratic Forms
Lesson 72 — Reciprocal Equation Patterns: Ultimate and Penultimate Terms
Lesson 73 — Only the Last Terms: Common-Expression Equations
Lesson 74 — Solve by Observation, Then Verify
Lesson 75 — Elimination and Retention in Multivariable Factorisation
Lesson 76 — Merger Equations: Reduce the Degree
Lesson 77 — Complex Merger Equations
Lesson 78 — Partial Fractions, Then an Integration Boundary
Lesson 79 — Difference and Sum of Two Squares
Lesson 80 — Pythagorean Triples from Two Numbers
Lesson 81 — The Katapayadi Code: A Number Mnemonic, Not a Calculation Trick
Lesson 82 — Pythagoras and Apollonius: Two Geometry Identities
Lesson 83 — Analytical Conics and Pairs of Lines
Lesson 84 — Reference Extension Capstone: Select, Solve, Verify, Explain