A Lecture Course in Geometric Algebra
The handouts on this page accompanied the lecture course Physical
Applications of Geometric Algebra, delivered as a Part III Minor
Option to final year physicists at the University of Cambridge in
1999. The handouts here should serve as a ueful introduction to
the range of applications of geometric algebra.
All files are available as gzip compressed postscript. The gzip
utility can be freely downloaded from any of the GNU ftp sites (UK mirror). If your
browser does not automatically decompress the file then save it,
decompress it manually and view it with a postscript viewer such
as Ghostview/GSview.
Copyright: You are welcome to download and print the following
documents. Please consult the authors if you wish to make multiple
copies.
Anthony Lasenby and Chris Doran
Handouts
Formula Sheet
1 An Introduction to Geometric Algebra
2 Geometric Algebra of 3-d Space
3 Foundations of Geometric Algebra
4 Groups, Bivectors and Hamiltonian
Mechanics
5 Linear Algebra
6 Balanced Algebras and Projective
Geometry
7 Geometric Calculus
8 Spacetime Algebra
9 Spacetime Dynamics
10 Electromagnetism
11 Quantum Theory
12 The Dirac Equation
13 Gauge Theories
14 The Gravitational Field Equations
15 Motion of Point Particles
16 Spherically Symmetric Fields
Question Sheets
Sheet 1
Answers to Sheet 1
Sheet 2
Answers to Sheet 2
Sheet 3
Answers to Sheet 3
Sample Tripos Questions
A Complete set of the overheads accompanying
the course is also available. |