The queen of the sciences : a history of mathematics 9781598034264, 159803426X, 9781598034271, 1598034278

Table of contents :
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.

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