内容

目次

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