Geometric Algebra For Physicists by Chris Doran and Anthony Lasenby 2003 ISBN 0521480221.
Book home page:
http://www.mrao.cam.ac.uk/%7Ecjld1/pages/book.htm
Geometric Algebra research group at Cambridge University says "The most complete introduction to the subject" (one would hope they think so, since the authors are members of that group :-)
This is a very good text to get to grips with
CliffordAlgebra and explains the connection to
ComplexNumbers and
QuaternionMathematics. Don't let the title put you off. --
JohnFletcher
There is a section in this book (Chapter 12) which makes a connection to the Lagrange and Hamiltonian formulation of mechanics and goes on to generalise it. The Euler-Lagrange equations are shown to apply not only to vector variables but multivector variables as well. This is also known as the Calculus of Variations. --
JohnFletcher
See also
CliffordAlgebraResources
CategoryMath CategoryBook CategoryPhysics