1. Egyptian asnd phoenician mathematics -- 2. The ionian and pythagorean schools -- 3. The schools of Athens and Cyzicus -- 4. The first Alexandrian school -- 5. The second Alexandrian school -- 6. The Bizantine school -- 7. Systems of numeration and primitive arithmetic -- 8. The rise of learning in Western Europe -- 9. The mathematics of the Arabs -- 10. Introduction of Arabian works into Europe -- 11. The development of arithmetic -- 12. The mathematics of the Renaissance -- 13. The close of the renaissance -- 14. The history of modern mathematics -- 15. History of mathematics from Descartes to Huygens -- 16. The life and works of Newton -- 17. Leibnitz and the mathematicians of the first Half of the Eighteenth Century -- 18. Lagrange, Laplace and their contemporaries -- 19. Mathematics of the Nineteenth Century.