Clifford (Geometric) Algebras with applications to physics, mathematics, and engineering
This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, in the Canadian Rockies, from July 30 to August 12,1995. The chapters, based on lectures given at the School, are designed to be tutorial in nature, a...
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| Format: | eBook |
| Language: | English |
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Boston, MA
Birkhäuser
1996, 1996
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| Edition: | 1st ed. 1996 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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