## Līlāvatī of Bhāskarācārya: A Treatise of Mathematics of Vedic Tradition : with Rationale in Terms of Modern Mathematics Largely Based on N.H. Phadke's Marāthī Translation of LīlāvatīIn 1150 AD, Bhaskaracarya (b. 1114 AD), renowned mathematician and astronomer of Vedic tradition composed Lilavati as the first part of his larger work called Siddhanta Siromani, a comprehensive exposition of arithmetic, algebra, geometry, mensuration, number theory and related topics. Lilavati has been used as a standard textbook for about 800 years. This lucid, scholarly and literary presentation has been translated into several languages of the world. Bhaskaracarya himself never gave any derivations of his formulae. N.H. Phadke (1902-1973) worked hard to construct proofs of several mathematical methods and formulae given in original Lilavati. The present work is an enlargement of his Marathi work and attempts a thorough mathematical explanation of definitions, formulae, short cuts and methodology as intended by Bhaskara. Stitches are followed by literal translations so that the reader can enjoy and appreciate the beauty of accurate and musical presentation in Lilavati. The book is useful to school going children, sophomores, teachers, scholars, historians and those working for cause of mathematics. |

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### Contents

LTlavati | 1 |

Definitions and Tables | 3 |

Place Values of Digits | 9 |

Addition and Subtraction | 11 |

Methods of Multiplication | 13 |

Division | 17 |

Methods of Finding Squares | 19 |

Square Root | 23 |

Square Transition | 65 |

Quadratic Equation | 71 |

The Rule of Three | 77 |

Inverse Proportion | 81 |

The Rule of Five | 83 |

Rules for Barter | 87 |

Simple Interest | 89 |

Combinations | 101 |

Method to Find the Cube | 27 |

Cube Roots | 31 |

Eight Operations on Fractions | 33 |

Addition and Subtraction of Fractions | 39 |

Multiplication of Fractions | 41 |

Division of Fractions | 43 |

Squares Cubes Square Roots and Cube Roots of Fractions | 45 |

Eight Rules Concerning Zero | 47 |

Reverse Process | 51 |

To Find an Unknown Quantity | 55 |

Method of Transition | 63 |

Progressions Series | 105 |

Mensuration | 113 |

Volume | 151 |

Wood Cutting | 155 |

Volume of a Heap of Grain | 157 |

Shadows | 161 |

Pulverization | 167 |

Concatenation Permutations Partitions etc | 177 |

183 | |

195 | |

### Other editions - View all

Līlāvatī of Bhāskarācārya: A Treatise of Mathematics of Vedic Tradition ... Bhāskarācārya Limited preview - 2001 |