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| Preface to the Third Edition | |
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| Preface to the First Edition | |
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| The History of Mathematics: Alternative Perspectives | |
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| A Justification for This Book | |
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| The Development of Mathematical Knowledge | |
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| Mathematical Signposts and Transmissions across the Ages | |
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| Mathematics from Bones, Strings, and Standing Stones | |
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| Beginnings: The Ishango Bone | |
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| Native Americans and Their Mathematics | |
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| The Emergence of Written Number Systems: A Digression | |
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| Mayan Numeration | |
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| The Beginnings of Written Mathematics: Egypt | |
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| The Urban Revolution and Its African Origins | |
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| Sources of Egyptian Mathematics | |
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| Number Recording among the Egyptians | |
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| Egyptian Arithmetic | |
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| Egyptian Algebra: The Beginnings of Rhetorical Algebra | |
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| Egyptian Geometry | |
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| Egyptian Mathematics: A General Assessment | |
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| The Beginnings of Written Mathematics: Mesopotamia | |
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| Fleshing Out the History | |
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| Sources of Mesopotamian Mathematics | |
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| The Mesopotamian Number System | |
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| Babylonian Algebra | |
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| Babylonian Geometry | |
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| Egyptian and Mesopotamian Mathematics: An Assessment | |
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| Changing Perceptions | |
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| Neglect of Egyptian and Mesopotamian Mathematics | |
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| The Babylonian-Egyptian-Greek Nexus: A Seamless Story or Three Separate Episodes? | |
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| Ancient Chinese Mathematics | |
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| Background and Sources | |
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| The Development of Chinese Numerals | |
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| Chinese Magic Squares (and Other Designs) | |
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| Mathematics from the Jiu Zhang (Suan Shu) | |
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| Special Topics in Chinese Mathematics | |
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| The "Piling-Up of Rectangles": The Pythagorean Theorem in China | |
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| Estimation of � | |
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| Solution of Higher-Order Equations and Pascal's Triangle | |
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| Indeterminate Analysis in China | |
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| The Influence of Chinese Mathematics | |
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| Chinese Mathematics: A Final Assessment | |
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| Ancient Indian Mathematics | |
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| A Restatement of Intent and a Brief Historical Sketch | |
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| Math from Bricks: Evidence from the Harappan Culture | |
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| Mathematics from the Vedas | |
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| Early Indian Numerals and Their Development | |
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| Jaina Mathematics | |
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| Mathematics on the Eve of the Classical Period | |
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| Indian Mathematics: The Classical Period and After | |
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| Major Indian Mathematician-Astronomers | |
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| Indian Algebra | |
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| Indian Trigonometry | |
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| Other Notable Contributions | |
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| A Passage to Infinity: The Kerala Episode | |
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| The Actors | |
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| Transmission of Kerala Mathematics | |
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| Prelude to Modern Mathematics: The Islamic Contribution | |
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| Historical Background | |
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| Major Medieval Islamic Mathematicians | |
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| Medieval Islam's Role in the Rise and Spread of Indian Numerals | |
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| Arithmetic in the Islamic World | |
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| Algebra in the Islamic World | |
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| Islamic Algebra and Its Influence on Europe | |
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| Geometry in the Islamic World | |
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| Trigonometry in the Islamic World | |
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| Mathematics from Related Sources | |
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| The Islamic Contribution: A Final Assessment | |
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| References | |
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| Name Index | |
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| Subject Index | |