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Author: Krishnaji Shankara Patwardhan

Somashekhara Amrita Naimpally/

Publisher: Motilal Banarsidass

Year: 2001/2006

Language: English

Pages: 201

ISBN/UPC (if available): 812081777x

** Description**

Lilavati has been used as a standard textbook for about 800 years. Its lucid, Scholarly and literary presentation has attracted several cultural areas and it was widely used and commented and translated into several languages of the world.

In the Lilavati, Arithmetic is presented as an enjoyable playful activity. The name 'Bhaskaracarya' and 'Lilavati' are well-known. If a student displays outstanding talent in Mathematics, the school teacher lovingly calls the student "Second Bhaskaracarya".

Aryabhata (b.476 AD) is credited for his pioneering work of extracting tantra sastra, (I.e. astronomy and mathematics) from vedas (generally known as the oldest embodiment of knowledge) to the level of common usage as he appropriately says in his Aryabhatiyam.

In 1150 AD, Bhaskaracarya (b.1114 AD), renowned mathematician and astronomer of Vedic tradition compose Lilavati as the first part of this larger world 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. Its lucid, Scholarly and literary presentation has attracted several cultural areas and it was widely used and commented and 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 and present work is an enlargement of his Marathi work and attempts a thorough mathematical explanation of definitions, formulae, short cuts and methodology as intend 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 the cause of mathematics.

Contents

Foreword by V.V. Narlikar

Roman Transliteration of Devanagari

Translators' Preface

Bhaskaracarya : His Life and Work

Lilavati

CHAPTER 1

Definitions and Tables

CHAPTER 2

Place Values of Digits

CHAPTER 3

Addition and Subtraction

CHAPTER 4

Methods of Multiplication

CHAPTER 5

Division

CHAPTER 6

Method to finding Squares

CHAPTER 7

Square Root

CHAPTER 8

Method to Find the Cube

CHAPTER 9

Cube Roots

CHAPTER 10

Eight Operations on Fractions

CHAPTER 11

Addition and Subtraction of fractions

CHAPTER 12

Multiplication of Fractions

CHAPTER 13

Division of Fractions

CHAPTER 14

Squares, Cubes, Square Roots and Cube Roots of Fractions

CHAPTER 15

Eight Rules Concerning Zero

CHAPTER 16

Reverse Process

CHAPTER 17

To Find an Unknown Quantity

CHAPTER 18

Method of Transition

CHAPTER 19

Square Transition

CHAPTER 20

Quadratic Equation

CHAPTER 21

The Rule of Three

CHAPTER 22

Inverse Proportion

CHAPTER 23

The Rule of Five

CHAPTER 24

Rules for Barter

CHAPTER 25

Simple Interest

CHAPTER 26

Combinations

CHAPTER 27

Progressions (Series)

CHAPTER 28

Mensuration

CHAPTER 29

Volume

CHAPTER 30

Wood Cutting

CHAPTER 31

Volume of a Heap of Grain

CHAPTER 32

Shadows

CHAPTER 33

Pulverization

CHAPTER 34

Concatenation (Permutation, Partitions etc.)

Index of Verses

Subject Index