Part 1. Disc 1: lecture 1. Great ideas that bring our world into focus. ; lecture 2. How many? Counting surprises ; lecture 3. Fermat's last theorem and the allure of number ; lecture 4. Pining for natures numbers. ; lecture 5. Sizing up the Fibonacci numbers. ; lecture 6. Sexiest rectangle. ; lecture 7. Hidden beauty of the golden rectangle. ; lecture 8. Pythagorean theorem and geography of ellipses. ; lecture 9. Not-so-platonic relationships in platonic solids. ; lecture 10. Hunting for a sixth platonic solid. ; lecture 11. Is there a fourth dimension? Can we see it? ; lecture 12. Invisible art of the fourth dimension.
Part 2. Disc 2: lecture 13. A twisted idea
the Mobius band. ; lecture 14. One sided, sealed surface
the Klein bottle ; lecture 16. Unfolding paper to reveal a fiery fractal. ; lecture 17. Fractals
infinitely complex creations. ; lecture 18. Fractal frauds ofnature. ; lecture 19. Chance surprises
measuring uncertainty. ; lecture 20. Door number two or door number three? ; lecture 21. Great expectations
weighing the uncertin future. ; lecture 22. Random thoughts
randomness in our world ; lecture 23. How surprising are surprising coincidences? ; lecture 24. Life lessons learned from mathematical thinking.