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    1. What Is Mathematics
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    2. Babylonian and Egyptian Mathematics
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    3. Greek Mathematics — Thales to Euclid
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    4. Greek Mathematics — Archimedes to Hypatia
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    5. Astronomy and the Origins of Trigonometry
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    6. Indian Mathematics — Trigonometry Blossoms
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    7. Chinese Mathematics — Advances in Computation
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    8. Islamic Mathematics — The Creation of Algebra
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    9. Italian Algebraists Solve the Cubic
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    10. Napier and the Natural Logarithm
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    11. Galileo and the Mathematics of Motion
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    12. Fermat, Descartes, and Analytic Geometry
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    13. Newton — Modeling the Universe
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    14. Leibniz and the Emergence of Calculus
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    15. Euler — Calculus Proves Its Promise
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    16. Geometry — From Alhambra to Escher
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    17. Gauss — Invention of Differential Geometry
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    18. Algebra Becomes the Science of Symmetry
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    19. Modern Analysis — Fourier to Carleson
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    20. Riemann Sets New Directions for Analysis
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    21. Sylvester and Ramanujan — Different Worlds
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    22. Fermat's Last Theorem — The Final Triumph
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    23. Mathematics — The Ultimate Physical Reality
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    24. Problems and Prospects for the 21st Century