Introduction
Part I: Geometric Algebra
| 1. | Intrepretation of Clifford Algebra |
| 2. | Definition of Clifford Algebra |
| 3. | Inner and Outer Products |
| 4. | Structure of Clifford Algebra |
| 5. | Reversion, Scalar Product |
| 6. | The Algebra of Space |
| 7. | The Algebra of Space-Time |
Part II: Electrodynamics
| 8. | Maxwell's Equation |
| 9. | Stress-Energy Vectors |
| 10. | Invariants |
| 11. | Free Fields |
Part III: Dirac Fields
| 12. | Spinors |
| 13. | Dirac's Equation |
| 14. | Conserved Currents |
| 15. | C, P, T |
Part IV: Lorentz Transformations
| 16. | Reflections and Rotations |
| 17. | Coordinate Transformations |
| 18. | Timelike Rotations |
| 19. | Scalar Product |
Part V: Geometric Calculus
| 20. | Differentiation |
| 21. | Coordinate Transformations |
| 22. | Integration |
| 23. | Global and Local Relativity |
| 24. | Gauge Transformation and Spinor Derivatives |
Conclusion
Appendices
| A. | Bases and Pseudoscalars |
| B. | Some Theorems |
| C. | Composition of Spacial Rotations |
| D. | Matrix Representation of the Pauli Algebra |
| GC R&D | Home | Overview | Evolution | Intro | NFMP | UGC | STC | GA in QM | GC Gravity | CG | Books | Infer Calc | Modeling | Links | PDF |