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.
  • Examples sheets and study sheet.
  • Wildberger has a playlist of 'geometric algebra' covering the same topics as the course notes including the complex numbers and relativity content.

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

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