Puzzles with beautiful solutions
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13 learners
What you'll learn
This course includes
- 8.5 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 27 lessons • 8.5 hours of video
Puzzles with beautiful solutions
27 lessons
• 8.5 hours
Puzzles with beautiful solutions
27 lessons
• 8.5 hours
- Why π is in the normal distribution (beyond integral tricks)24:46
- Euler's Formula and Graph Duality07:27
- The Brachistochrone, with Steven Strogatz16:02
- Music And Measure Theory13:13
- Euler's formula with introductory group theory24:28
- Why colliding blocks compute pi26:07
- But why is a sphere's surface area four times its shadow?15:51
- This pattern breaks, but for a good reason | Moser's circle problem16:13
- This open problem taught me what topology is27:26
- Why is pi here? And why is it squared? A geometric answer to the Basel problem17:08
- Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations22:21
- Why slicing a cone gives an ellipse (beautiful proof)12:52
- The hardest problem on the hardest test11:15
- Five puzzles for thinking outside the box29:42
- How to lie using visual proofs18:49
- The unexpectedly hard windmill question (2011 IMO, Q2)16:03
- A tale of two problem solvers | Average cube shadow area40:06
- Binary, Hanoi and Sierpinski, part 113:59
- Binary, Hanoi, and Sierpinski, part 213:40
- Pi hiding in prime regularities29:43
- How colliding blocks act like a beam of light...to compute pi.14:41
- The other way to visualize derivatives | Chapter 12, Essence of calculus14:26
- Olympiad level counting (Generating functions)34:36
- All possible pythagorean triples, visualized14:53
- Using topology for discrete problems | The Borsuk-Ulam theorem and stolen necklaces19:22
- Thinking outside the 10-dimensional box25:13
- The impossible chessboard puzzle18:42
