I. IntroductoryII. Numerical notation and practical calculationIII. Pythagorean ArithmeticIV. The earliest Greek geometry. ThalesV. Pythagorean geometryVI. Progress in the elements down to Plato's timeVII. Special problemsVIII. From Plato to EuclidIX. EuclidX. Aristarchus of SamosXI. ArchimedesXII. Conic sectionsXIII. The successors of the great geometersXIV. Trigonometry: Hipparchus Menelaus PtolemyXV. Mensuration: Heron of AlexandriaXVI. Pappus of AlexandriaXVII. Algebra: Diophantus of Alexand...