Clifford (geometric) algebras with applications to physics, mathematics, and engineering

1. Introduction

2. Clifford Algebras and Spinor Operators / P. Lounesto

3. Introduction to Geometric Algebras / G. Sobczyk

4. Linear Transformations / G. Sobczyk

5. Directed Integration / G. Sobczyk

6. Linear Algebra / C. Doran, A. Lasenby and S. Gull

7. Dynamics / S. Gull, C. Doran and A. Lasenby

8. Electromagnetism / S. Gull, C. Doran and A. Lasenby

9. Electron Physics I / S. Gull, C. Doran and A. Lasenby

10. Electron Physics II / S. Gull, C. Doran and A. Lasenby

11. STA and the Interpretation of Quantum Mechanics / A. Lasenby, S. Gull and C. Doran

12. Gravity I

Introduction / A. Lasenby, C. Doran and S. Gull

13. Gravity II

Field Equations / C. Doran, A. Lasenby and S. Gull

14. Gravity III

First Applications / A. Lasenby, C. Doran and S. Gull

15. Gravity IV

The 'Intrinsic' Method / C. Doran, A. Lasenby and S. Gull

16. Gravity V

Further Applications / A. Lasenby, C. Doran and S. Gull

17. The Paravector Model of Spacetime / W.E. Baylis

18. Eigenspinors in Electrodynamics / W.E. Baylis

19. Eigenspinors in Quantum Theory / W.E. Baylis

20. Eigenspinors in Curved Spacetime / W.E. Baylis

21. Spinors: Lorentz Group / J.P. Crawford

22. Spinors: Clifford Algebra / J.P. Crawford

23. General Relativity: An Overview / J.P. Crawford

24. Spinors in General Relativity / J.P. Crawford

25. Hypergravity I / J.P. Crawford

26. Hypergravity II / J.P. Crawford

27. Properties of Clifford Algebras for Fundamental Particles / J.S.R. Chisholm and R.S. Farwell

28. The Extended Grassmann Algebra of R[superscript 3] / B. Jancewicz

29. Geometric Algebra: Applications in Engineering / J. Lasenby

30. Projective Quadrics, Poles, Polars, and Legendre Transformations / R.C. Pappas

31. Spacetime Algebra and Line Geometry / J.G. Maks

32. Generalizations of Clifford Algebra / C.C. Carbno

33. Clifford Algebra Computations with Maple / R. Ablamowicz.