Clifford Algebras

This book, aimed at beginning graduate students in physics and mathematics, introduces readers to the techniques of Clifford algebras.

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Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Its applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dirac's equation for the electron at the other. Clifford algebras have become a virtual necessity in some areas of physics and their use is expanding in other areas; for example, in algebraic manipulations involving Dirac matrices in quantum thermodynamics, in Kaluza-Klein theories and dimensional renormalization theories, and in the formation of superstring theories.

The book is aimed at beginning graduate physics and math students learning mathematical physics, relativity, quantum physics, or applied mathematics; and mathematical physicists.