MAS336: Elementary Differential Geometry

My notes on the course Elementary Differential Geometry at the University Of Sheffield. I do not claim all the content here is mine, it's mostly the images and equations that are copy-pasted from the lecturer's notes. But the descriptions/explanations are in my own words. Achieved an MPhys 1st Class Honours in theoretical physics. Contents: Angles In A Triangle The Inner Product Curves And Parameterisations Smooth And Regular Functions Arc Length Unit Speed Parameterisation Curvature Turning A...