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# Aryabhata - Life and Contributions

by D S Hooda### Price

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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