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

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

  

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i want this book very much intresting but i want it in sanskrit

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This is one of the best book for mathematics which is contain many basic methods of mathematics, calculations, etc. By help of this book we can calculate big calculation without calculator. All ,most of students of primary,secondary,higher secondary,college must read this book. This book is helpful to IIT , AIEEE, BIT , GATE, CAT etc examination where there is no calculator allowed.This book is also indicate the reach treasure of Indian Vedic mathematics. 

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

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