http://assets.cambridge.org/0521480221/cover/0521480221.jpg ''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
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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
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See also CliffordAlgebraResources
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CategoryMath CategoryBook CategoryPhysics