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Preface to the Third Edition | p. xi |
Preface to the First Edition | p. xxiii |
The History of Mathematics: Alternative Perspectives | p. 1 |
A Justification for This Book | p. 1 |
The Development of Mathematical Knowledge | p. 3 |
Mathematical Signposts and Transmissions across the Ages | p. 12 |
Mathematics from Bones, Strings, and Standing Stones | p. 30 |
Beginnings: The Ishango Bone | p. 30 |
Native Americans and Their Mathematics | p. 45 |
The Emergence of Written Number Systems: A Digression | p. 58 |
Mayan Numeration | p. 66 |
The Beginnings of Written Mathematics: Egypt | p. 79 |
The Urban Revolution and Its African Origins | p. 79 |
Sources of Egyptian Mathematics | p. 81 |
Number Recording among the Egyptians | p. 84 |
Egyptian Arithmetic | p. 88 |
Egyptian Algebra: The Beginnings of Rhetorical Algebra | p. 102 |
Egyptian Geometry | p. 109 |
Egyptian Mathematics: A General Assessment | p. 119 |
The Beginnings of Written Mathematics: Mesopotamia | p. 125 |
Fleshing Out the History | p. 125 |
Sources of Mesopotamian Mathematics | p. 132 |
The Mesopotamian Number System | p. 136 |
Babylonian Algebra | p. 150 |
Babylonian Geometry | p. 159 |
Egyptian and Mesopotamian Mathematics: An Assessment | p. 177 |
Changing Perceptions | p. 178 |
Neglect of Egyptian and Mesopotamian Mathematics | p. 181 |
The Babylonian-Egyptian-Greek Nexus: A Seamless Story or Three Separate Episodes? | p. 184 |
Ancient Chinese Mathematics | p. 188 |
Background and Sources | p. 188 |
The Development of Chinese Numerals | p. 198 |
Chinese Magic Squares (and Other Designs) | p. 206 |
Mathematics from the Jiu Zhang (Suan Shu) | p. 215 |
Special Topics in Chinese Mathematics | p. 246 |
The "Piling-Up of Rectangles": The Pythagorean Theorem in China | p. 248 |
Estimation of ¿ | p. 261 |
Solution of Higher-Order Equations and Pascal's Triangle | p. 270 |
Indeterminate Analysis in China | p. 282 |
The Influence of Chinese Mathematics | p. 296 |
Chinese Mathematics: A Final Assessment | p. 301 |
Ancient Indian Mathematics | p. 311 |
A Restatement of Intent and a Brief Historical Sketch | p. 311 |
Math from Bricks: Evidence from the Harappan Culture | p. 317 |
Mathematics from the Vedas | p. 323 |
Early Indian Numerals and Their Development | p. 338 |
Jaina Mathematics | p. 349 |
Mathematics on the Eve of the Classical Period | p. 356 |
Indian Mathematics: The Classical Period and After | p. 372 |
Major Indian Mathematician-Astronomers | p. 373 |
Indian Algebra | p. 380 |
Indian Trigonometry | p. 392 |
Other Notable Contributions | p. 403 |
A Passage to Infinity: The Kerala Episode | p. 418 |
The Actors | p. 418 |
Transmission of Kerala Mathematics | p. 435 |
Prelude to Modern Mathematics: The Islamic Contribution | p. 450 |
Historical Background | p. 450 |
Major Medieval Islamic Mathematicians | p. 455 |
Medieval Islam's Role in the Rise and Spread of Indian Numerals | p. 461 |
Arithmetic in the Islamic World | p. 466 |
Algebra in the Islamic World | p. 475 |
Islamic Algebra and Its Influence on Europe | p. 486 |
Geometry in the Islamic World | p. 487 |
Trigonometry in the Islamic World | p. 496 |
Mathematics from Related Sources | p. 503 |
The Islamic Contribution: A Final Assessment | p. 508 |
References | p. 521 |
Name Index | p. 543 |
Subject Index | p. 549 |
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