Mechanics
Table of Contents
Part 1A Michaelmas
This is the first term of the Mathematical Tripos which is a crash course in Mechanics which means it's also a course in trig and calculus. This is the material all Tripos freshmen would know from highschool before admission.
Course
- Lectures notes and example sheets are here
- No exam
Books
- P. J. O’Donnell Essential Dynamics and Relativity. CRC Press, 2014
- J. Hebborn and J. Littlewood Mechanics 1, 2 & 3 (Edexel). Heinemann, 2000
- L. Bostock and F. S. Chandler Applied Mathematics, Vols. 1 & Vol. 2. ST(P) Ltd., 1986 (out of print)
Calculus
If you know calculus you can skip this but it will help set us up to learn Axler's graduate analysis book next term.
The best book that covers trig series to continuity to convergence is David Bressoud's A Radical Approach to Real Analysis. It teaches modern analysis as it was invented and fits well with Mechanics.
The other undergrad calculus text I consider worth doing is The Calculus Integral by Brian S. Thomson. It's a free PDF. It is modernized and designed for a student going on to measure theory (that's us). When you get to grad school you discover that you spent hours and hours in undergrad calculus and analysis courses learning an integration method which was discarded over 100+ years ago. Then you find out the replacement was already replaced in the 1960s too.
TODO