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