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  1. 1.
    Theorems as Masterpieces
  2. 2.
    Mathematics before Euclid
  3. 3.
    The Greatest Mathematics Book of All
  4. 4.
    Euclid's Elements—Triangles and Polygons
  5. 5.
    Number Theory in Euclid
  6. 6.
    The Life and Works of Archimedes
  7. 7.
    Archimedes' Determination of Circular Area
  8. 8.
    Heron's Formula for Triangular Area
  9. 9.
    Al-Khwarizmi and Islamic Mathematics
  10. 10.
    A Horatio Algebra Story
  11. 11.
    To the Cubic and Beyond
  12. 12.
    The Heroic Century
  13. 13.
    The Legacy of Newton
  14. 14.
    Newton's Infinite Series
  15. 15.
    Newton's Proof of Heron's Formula
  16. 16.
    The Legacy of Leibniz
  17. 17.
    The Bernoullis and the Calculus Wars
  18. 18.
    Euler, the Master
  19. 19.
    Euler's Extraordinary Sum
  20. 20.
    Euler and the Partitioning of Numbers
  21. 21.
    Gauss—the Prince of Mathematicians
  22. 22.
    The 19th Century—Rigor and Liberation
  23. 23.
    Cantor and the Infinite
  24. 24.
    Beyond the Infinite

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