AweSums
Presentation Slides [2019]
Presentations for the lectures given by Prof Peter Lynch in the course
AweSums are in two forms.
- The files under "Presentation" are in full colour, with slide build-ups.
- The files under "Print Version" are in Black and White.
The Presentation slides are best for viewing on-screen.
The Print Versions are more compact. They can be printed with multiple
slides to a page, typically with six slides per sheet.
| Lecture |
Content |
Presentation |
Print Version |
| 0 |
Taster Lecture, 22 August 2018. |
PDF |
N/A |
| 1 |
Outline of Course. Emergence of Numbers. |
PDF |
PDF |
| 2 |
Georg Cantor. Set Theory. Unary Numerals. |
PDF
|
PDF |
| 3 |
Set Theory II. Hilbert's Hotel. Infinitesimals.
|
PDF |
PDF |
| 3A |
Extra: Music and Maths: Symmetry and Symbiosis. |
PDF |
N/A |
| 4 |
Topology I. The Pythagoreans. |
PDF |
PDF |
| 5 |
The Quadrivium. Theorem of Pythagoras. Unary Numbers. Topology II. |
PDF |
PDF |
| 6 |
Archimedes' Theorem. Axioms. 3 Utilities. Astronomy I. Number Line. |
PDF |
PDF |
| 7 |
Irrationals. Real Line. Pascal's Triangle. |
PDF |
PDF |
| 8 |
Euler's Gem. Astronomy II. Carl Friedrich Gauss. |
PDF |
PDF |
| 8A |
Extra: Introduction to Numerical Weather Prediction. |
PDF |
N/A |
| 9 |
Prime Numbers. Applications. Topology III. Hilbert. |
PDF |
PDF |
| 10 |
Symmetry II. Möbius Band. Moessner's Magic. Random Numbers. Prime Sieve. |
PDF |
PDF |
|