A Human Introduction to Geometry
There is no official textbook for this course. My Course Notes are available below. | |
Course Notes | |
---|---|
Assignments | Topics |
Reading Quiz 1 |
The Pythagorean Theorem The Square Root of 2 is Irrational Plato's Timaeus Harmony of the Spheres Platonic Solids and the Five Elements Ptolemy's Epicycles Kepler's Three Laws Ellipses are Conic Sections |
Homework 1 Reading Quiz 2 Homework 2 |
The Deductive Method Euclidean and Non-Euclidean Geometry Euclid's Elements Angles in a Euclidean Triangle Gaussian Curvature Theorema Egregium and Gauss-Bonnet Non-Euclidean Triangles |
Reading Quiz 3 |
Pure vs Applied Mathematics The Problem of Measurement Eudoxus' Theory of Proportion Archimedes' Measurement of the Circle The Existence of pi |