ch. 1. Euclid, Diophantus, Archimedes -- ch. 2. Pythagoras and the Pythagorean triplets -- ch. 3. Āryabhaṭa, Brahmagupta, Bhāskara -- ch. 4. Irrational numbers: construction and approximation -- ch. 5. Arabic mathematics -- ch. 6. Beginnings of algebra in Europe -- ch. 7. Cubic and biquadratic equations -- ch. 8. Solution of the cubic equation -- ch. 9. Solution of the biquadratic equation -- ch. 10. Numbers, algebra, and the physical world -- ch. 11. Complex numbers -- ch. 12. Fundamental theorem of algebra -- ch. 13. Equations of degree greater than four -- ch. 14. General number systems and the axiomatic treatment of algebra