Indian Mathematics c3: Contents

Indian Mathematics c3

Language: English

c3.1

| | | PAGE |
| I—INTRODUCTION | .. .. .. | .. 1 |
| II—THE SULVASŪTRAS | .. .. .. | .. 3 |
| The Pythagorean theorem | .. .. .. | .. 4 |
| Squares and rectangles | .. .. .. | .. 6 |
| Squaring the circle .. | .. .. .. | .. 7 |
| III—CIRC. A.D., 400—600 | .. .. .. | .. 9 |
| The Pancha Siddhāntikā | .. .. .. | .. 10 |
| Āryabhaṭa | .. .. .. | .. 11 |
| IV—CIRC. A.D., 600—1200 | .. .. .. | .. 14 |
| Indeterminate equations | .. .. .. | .. 16 |
| Rational right-angled triangles | .. .. .. | .. 18 |
| Geometry | .. .. .. | .. 20 |
| V—INDIAN MATHEMATICAL WORKS— | | |
| Topics .. | .. .. .. | .. 23 |
| Terminology | .. .. .. | .. 24 |
| Illustrative examples | .. .. .. | .. 26 |
| VI—ARITHMETICAL NOTATIONS, ETC. | .. .. .. | .. 27 |
| VII—INDIAN MATHEMATICIANS | .. .. .. | .. 35 |
| VIII—FOREIGN INFLUENCE— | | |
| Possible connection with Chinese mathematics | | .. 38 |
| Arabic mathematics .. | .. .. .. | .. 41 |
| Greek influence | .. .. .. | .. 44 |
| IX—APPENDICES— | | |
| Extracts from texts— | .. .. .. | .. 46 |
| Examples | .. .. .. | .. 51 |
| Chronology | .. .. .. | .. 67 |
| Bibliography | .. .. .. | .. 68 |
| X—INDEX | .. .. .. | .. 71 |

c3.2

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