# 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 Līlāvatī

Motilal Banarsidass Publ., 2001 - Hindu mathematics - 201 pages

In 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.

### What people are saying -Write a review

User Review - Flag as inappropriate

good book ever

User Review - Flag as inappropriate

thank u

### 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 Index of Verses 183 Subject Index 195 Copyright

### Popular passages

Page vii - Arithmetic has a very great and elevating effect, compelling the soul to reason about abstract numbers, and