| 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.： |
