Author: D S Hooda
J N Kapur/
Publisher: New Age International
Year: 2001
Language: English
Pages: 130
ISBN/UPC (if available): 8122413056
Description
This book examines life and work of Aryabhata, one of the greatest mathematicians and astronomers of all times, and father of the renaissance of mathematics and science in ancient India.
It is true that Indian mathematics and astronomy had great achievements to their credit even before Aryabhata's time, but contributions in these fields were usually made by groups of saint-scholars, who combined in their writings mathematics, astronomy, astrology, religious rituals, science and spiritual knowledge, in a more or less integrated manner.
Aryabhata, for the first time, had the courage to break with this tradition. He studied thoroughly and completely all the mathematics and astronomy known in his time, systematized it, found the gaps in the knowledge of these disciplines and filled these gaps with his own researches. He had the courage to reject the accepted values of astronomical parameters, if these were inconsistent with his and others' observations. In this sense, he was a true scientist uninhibited by any consideration, other than that of search for truth.
The uniqueness of this work lies in the fact that it is neither so short as to be sketchy, nor so detailed as to be of interest only to scholars in the history of mathematics and astronomy. It will be useful to all educated persons in India and abroad, who are interested in knowing about ancient India's glory in the fields of mathematics and science.
Contents
Preface to the Second Edition
Preface to the First Edition
CHAPTER I
HISTORY OF ANCIENT INDIAN ASTRONOMY AND MATHEMATICS
PART ONE
INTRODUCTION
PART TWO
A Brief History of Ancient Indian Astronomy
PART THREE
An Assessment of Ancient Indian Astronomy
PART FOUR
A Brief History of Ancient Indian Mathematics
PART FIVE
Development of Mathematics in Various Countries
PART SIX
Tributes to Ancient Indian Mathematics
PART SEVEN
Concluding Remarks
CHAPTER II
LIFE HISTORY OF ARYABHATA
PART ONE
Introduction
PART TWO
Birth
PART THREE
Kusumpura of Aryabhata
PART FOUR
Teacher and Devotee of Brahma
PART FIVE
Pupils of Aryabhata
PART SIX
Aryabhata and Foreign Mathematicians
CHAPTER III
PART ONE
Introduction
PART TWO
A Collection of Two Compositions
PART THREE
Notable Points of the Aryabhatiya
PART FOUR
Commentaries on the Aryabhatiya
PART FIVE
The Aryabhata-Siddhanta
PART SIX
The Aryabhatiya and Aryabhat-Siddhanta
PART SEVEN
The Surya-Siddhanta-Prakash
PART EIGHT
Works based on the Aryabhatiya
CHAPTER IV
CONTRIBUTIONS OF ARYABHATA TO MATHEMATICS
PART ONE
Introduction
PART TWO
Arithmetic
PART THREE
Algebra
PART FOUR
Value of Pie
PART FIVE
Mensuration and Geometry
PART SIX
Trigonometry
PART SEVEN
Construction of Circle and the Shadow Sphere
CHAPTER FIVE
CONTRIBUTIONS OF ARYABHATA TO ASTRONOMY
PART ONE
Introduction
PART TWO
Main Contributions
PART THREE
Bhagola
PART FOUR
Khagola
PART FIVE
Spherical Astronomy
PART SIX
Eclipses of the Moon and the Sun
PART SEVEN
Planets Determined from Observations
CHAPTER SIX
RELEVANCE OF ARYABHATA TO MODERN MATHEMATICS AND SCIENCE
PART ONE
The Renaissance of Scientific
Methodology inspired by Aryabhata
PART TWO
Some Lessons from Aryabhata's Life and Work
PART TWO
Concluding Remarks
CHAPTER SEVEN
AN ASSESSMENT OF ARYABHATA
PART ONE
Aryabhata's Contributions to Mathematics
PART TWO
Aryabhata's Contribution to Astronomy
PART THREE
Aryabhata's Contribution to Scientific Spirit
PART FOUR
Some Weaknesses of Aryabhata's Contributions
PART FIVE
Tributes to Aryabhata
PART SIX
Aryabhata's Impact on Modern Mathematics
Bibliography