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Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas
Course No. 1423 (24 lectures, 30 minutes/lecture)
Taught by Michael Starbird, Edward B. Burger

Course Lecture Titles
1. Great Ideas that Bring Our World into Focus
2. How Many? Counting Surprises
3. Fermat’s Last Theorem and the Allure of Number
4. Pining for Nature’s Numbers
5. Sizing up the Fibonacci Numbers
6. The Sexiest Rectangle
7. The Hidden Beauty of the Golden Rectangle
8. The Pythagorean Theorem and Geometry of Ellipses
9. Not-so-Platonic Relationships in the Platonic Solids
10. Hunting for a Sixth Platonic Solid
11. Is There a Fourth Dimension? Can We See It?
12. The Invisible Art of the Fourth Dimension
13. A Twisted Idea—The Möbius Band
14. A One-Sided, Sealed Surface—The Klein Bottle
15. Ordinary Origami—Creating Beautiful Patterns
16. Unfolding Paper to Reveal a Fiery Fractal
17. Fractals—Infinitely Complex Creations
18. Fractal Frauds of Nature
19. Chance Surprises—Measuring Uncertainty
20. Door Number Two or Door Number Three?
21. Great Expectations—Weighing the Uncertain Future
22. Random Thoughts—Randomness in Our World
23. How Surprising are Surprising Coincidences?
24. Life Lessons Learned from Mathematical Thinking