Lecture | Content | Presentation | Print Version |
0 | Taster Lecture, 21 August 2017. | ----- | |
1 | Outline of Course. Emergence of Numbers. | ||
2 | Cantor. Set Theory. Topology I. Unary Numerals. | ||
3 | Set Theory II. Hilbert's Hotel. Pythagoras. | ||
4 | The Quadrivium. Pythagoras' Theorem. Möbius Band. | ||
5 | Axioms. Music I. Numerals. The Number Line. | ||
6 | Combinatorics. Music II. | ||
7 | Irrationals. Pascal's Triangle. Symmetry I. | ||
8 | Euler's Gem. Astronomy I. The Real Line. Symmetry II. | ||
9 | Astronomy II. Applications. Symmetry and Groups. Topology II | ||
10 | Moessner's Magic. Golden Ratio. Gauss and Number Theory. |