How to solve it?Instructor: Anna Felikson
Spring and Summer 2023: The notes (hand-written notes in Russian):
- How to solve it? The table from G. Polya's book "How to solve it" (in English and in Russian)
- 1. Pigeonhole principle.
- 2. Proof by contradiction.
- 3. Induction.
- 4. Extremal principle.
- 5. Invariants.
- 6. Semi-invariants.
- 7. And how to solve it?
- 8. Solving problems about problem solving
- 9. Smile!
- 10. Remainders and leftovers
GeometriesWinter 2023: The notes (hand-written notes in Russian):
- 1. Inversion:
- 2. Different types of infinities:
- Where is more?, by Sergei Tabachnikov.
- 4. Spherical Geometry:
- Spherical Droste video, 2-minute video by Henry Segerman.
- 5. Hyperbolic Geometry:
- Make hyperbolic tilings of images, by Malin Christersson.