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| Preface | |
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| Changes From the Second Edition | |
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| Elementary Texts on the History of Mathematics | |
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| What is Mathematics? | |
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| Mathematics and its History | |
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| Proto-mathematics | |
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| The Middle East, 2000-1500 BCE | |
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| Overview of Mesopotamian Mathematics | |
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| Computations in Ancient Mesopotamia | |
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| Geometry in Mesopotamia | |
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| Egyptian Numerals and Arithmetic | |
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| Algebra and Geometry in Ancient Egypt | |
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| Greek Mathematics From 500 BCE to 500 CE | |
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| An Overview of Ancient Greek Mathematics | |
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| Greek Number Theory | |
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| Fifth-Century Greek Geometry | |
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| Athenian Mathematics I: The Classical Problems | |
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| Athenian Mathametics II: Plato and Aristotle | |
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| Euclid of Alexandria | |
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| Archimedes of Syracuse | |
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| Apollonius of Perga | |
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| Hellenistic and Roman Geometry | |
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| Ptolemy’s Geography and Astronomy | |
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| Pappus and the Later Commentators | |
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| India, China, and Japan 500 BCE-1700 CE | |
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| Overview of Mathematics in India | |
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| From the Vedas to Aryabhata I | |
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| Brahmagupta, the Kuttaka, and Bhaskara II | |
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| Early Classics of Chinese Mathematics | |
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| Later Chinese Algebra and Geometry | |
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| Traditional Japanese Mathematics | |
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| Islamic Mathematics, 800-1500 | |
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| Overview of Islamic Mathematics | |
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| Islamic Number Theory and Algebra | |
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| Islamic Geometry | |
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| European Mathematics, 500-1900 | |
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| Medieval and Early Modern Europe | |
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| European Mathematics: 1200-1500 | |
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| Sixteenth-Century Algebra | |
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| Renaissance Art and Geometry | |
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| The Calculus Before Newton and Leibniz | |
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| Newton and Leibniz | |
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| Consolidation of the Calculus | |
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| Special Topics | |
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| Women Mathematicians | |
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| Probability | |
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| Algebra from 1600 to 1850 | |
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| Projective and Algebraic Geometry and Topology | |
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| Differential Geometry | |
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| Non-Euclidean Geometry | |
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| Complex Analysis | |
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| Real Numbers, Series, and Integrals | |
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| Foundations of Real Analysis | |
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| Set Theory | |
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| Logic | |
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| Literature | |
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| Subject Index | |
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| Name Index | |