Clifford (Geometric) Algebras

"Of interest due to the many provocative physical interpretations of quantum mechanics and gravitational theory suggested by the Clifford algebra approach to these theories." -Mathematical Reviews

• 1 Introduction.- 2 Clifford Algebras and Spinor Operators.- 3 Introduction to Geometric Algebras.- 4 Linear Transformations.- 5 Directed Integration.- 6 Linear Algebra.- 7 Dynamics.- 8 Electromagnetism.- 9 Electron Physics I.- 10 Electron Physics II.- 11 STA and the Interpretation of Quantum Mechanics.- 12 Gravity I — Introduction.- 13 Gravity II — Field Equations.- 14 Gravity III — First Applications.- 15 Gravity IV — The ‘Intrinsic’ Method.- 16 Gravity V — Further Applications.- 17 The Paravector Model of Spacetime.- 18 Eigenspinors in Electrodynamics.- 19 Eigenspinors in Quantum Theory.- 20 Eigenspinors in Curved Spacetime.- 21 Spinors: Lorentz Group.- 22 Spinors: Clifford Algebra.- 23 Genersd Relativity: An Overview.- 24 Spinors in General Relativity.- 25 Hypergravity I.- 26 Hypergravity II.- 27 Properties of Clifford Algebras for Fundamental Particles.- 28 The Extended Grassmann Algebra of R3.- 29 Geometric Algebra: Applications in Engineering.- 30 Projective Quadrics, Poles, Polars, and Legendre Transformations.- 31 Spacetime Algebra and Line Geometry.- 32 Generalizations of Clifford Algebra.- 33 Clifford Algebra Computations with Maple.