Preface |
Mathematical Notation |
Vectors and linear spaces / 1.: |
Complex numbers / 2.: |
Bivectors and the exterior algebra / 3.: |
Pauli spin matrices and spinors / 4.: |
Quaternions / 5.: |
The fourth dimension / 6.: |
The cross product / 7.: |
Electromagnetism / 8.: |
Lorentz transformations / 9.: |
The Dirac equation / 10.: |
Fierz identities and boomerangs / 11.: |
Flags, poles and dipoles / 12.: |
Tilt to the opposite metric / 13.: |
Definitions of the Clifford algebra / 14.: |
Witt rings and Brauer groups / 15.: |
Matrix representations and periodicity of 8 / 16.: |
Spin groups and spinor spaces / 17.: |
Scalar products of spinors and the chessboard / 18.: |
Mobius transformations and Vahlen matrices / 19.: |
Hypercomplex analysis / 20.: |
Binary index sets and Walsh functions / 21.: |
Chevalley's construction and characteristic 2 / 22.: |
Octonions and triality / 23.: |
A history of Clifford algebras |
Selected reading |
Index |
Preface |
Mathematical Notation |
Vectors and linear spaces / 1.: |