Part 1. Mathematics in Antiquity1. Number Systems and the Invention of Positional Notation2. Egyptian Arithmetic3. Babylonian Algebra4. Greek Trigonometry: The Introduction of Inequalities and the Measurement of AreaPart 2. The Adolescence of Computation5. Navigation6. Cartography7. The Invention of Logarithms8. The Algebrization of GeometryPart 3. The Rise of Geometrical Analysis9. Infinitesimal Calculus10. The Calculus and Calculation11. Differential Geometry12. Models of the UniverseSupplemen...