The queen of the sciences : a history of mathematics

Description

24 lectures describing the historical development of mathematics. Abstract: 24 lectures describing the historical development of mathematics Content: The queen of the sciences: a history of mathematics, Part 1. lecture 1. What is mathematics? -- lecture 2. Babylonian and Egyptian mathematics -- lecture 3. Greek mathematics : Thales to Euclid -- lecture 4. Greek mathematics : Archimedes to Hypatia -- lecture 5. Astronomy and the origins of trigonometry -- lecture 6. Indian mathematics : trigonometry blossoms -- lecture 7. Chinese mathematics : advances in computation -- lecture 8. Islamic mathematic : the creation of algebra -- lecture 9. Italian algebraists solve the cubic -- lecture 10. Napier and the natural logarithm -- lecture 11. Galileo and the mathematics of motion -- lecture 12. Fermat, Descartes, and analytic geometry. The queen of the sciences: a history of mathematics, Part 2. lecture 13. Newton : modeling the universe -- lecture 14. Leibniz and the emergence of calculus -- lecture 15. Euler : calculus proves its promise -- lecture 16. Geometry : from Alhambra to Escher -- lecture 17. Gauss : invention of differential geometry -- lecture 18. Algebra becomes the science of symmetry -- lecture 19. Modern analysis : Fourier to Carleson -- lecture 20. Riemann sets new directions for analysis -- lecture 21. Sylvester and Ramanujan : different worlds -- lecture 22. Fermat's last theorem : the final triumph -- lecture 23. Mathematics : the ultimate physical reality -- lecture 24. Problems and prospects for the 21st century.