Lecture | Content | Presentation | Print Version |
0 | Taster Lecture, 23 August 2018. | ||
1 | Outline of Course. Emergence of Numbers. | ||
2 | Georg Cantor. Set Theory. Unary Numerals. | ||
3 | Set Theory II. Hilbert's Hotel. Infinitesimals. [Extra: M&M]. | ||
3 Extra | Music and Maths: Symmetry and Symbiosis, Part 1. | N/A | |
4 | Topology I. The Pythagoreans. | ||
5 | Pythagoras. The Quadrivium. Unary Numbers. Topology II. | ||
6 | Axioms. 3 Utilities. Astronomy I. Number Line. | ||
7 | Irrationals. Real Line. Pascal's Triangle. [Extra: NWP]. | ||
7 Extra | Introduction to Numerical Weather Prediction. | N/A | |
8 | Euler's Gem. Astronomy II. Carl Friedrich Gauss. | ||
9 | Symmetry I. Applications. Topology III. Hilbert. | ||
10 | Symmetry II. Möbius Band. Moessner's Magic. Golden Ratio. Random Numbers. Prime Numbers. |