Vectors & Matrices
Table of Contents
Part 1A Michaelmas
This is the first term of the Cambridge Mathematical Tripos which I assume you found here. You should take all the courses at the same time they compliment each other and Cambridge set it up this way for a good reason.
Course
The recommended book that covers all topics is Algebra and Geometry by Alan Beardon which we're already reading for Groups.
- Official notes are here and the course hasn't changed that much or choose any of these notes.
- Wildberger has a playlist of 'geometric algebra' covering the same topics as the course notes including the complex numbers and relativity content. Years ago Groups, Vectors and Matrices, was a single course called Algebra and Geometry Part I and II with 48 lectures so these extra lectures are nothing.
Appropriate books
- Alan F Beardon Algebra and Geometry. CUP 2005
- Gilbert Strang Linear Algebra and Its Applications. Thomson Brooks/Cole, 2006
- Richard Kaye and Robert Wilson Linear Algebra. Oxford science publications, 1998
- D.E. Bourne and P.C. Kendall Vector Analysis and Cartesian Tensors. Nelson Thornes 1992
- E. Sernesi Linear Algebra: A Geometric Approach. CRC Press 1993
- James J. Callahan The Geometry of Spacetime: An Introduction to Special and General Relativity. Springer 2000
The E. Sernesi book uses affine geometry similar to the Wildberger playlist .
TODO