Vectors & Matrices

Table of Contents

Part 1A Michaelmas

This is the first term of the Cambridge Mathematical Tripos which I assume you found here.

Course

  • Official notes are here and the course hasn't changed that much or choose any of these notes.
  • Examples sheets.

Recommended books

The book that covers most topics is Algebra and Geometry by Alan Beardon which we're already reading for Groups.

  • 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

Strategy

Read the recommended books and look at some visualizations like 3Blue1Brown on YouTube or NJ Wildberger has a playlist of 'geometric algebra' covering some of the topics as the course notes including the complex numbers and relativity content. The E. Sernesi book uses affine geometry similar to the Wildberger (unfinished) course.

TODO

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