The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity Book

	Preface
	Acknowledgments
	Introduction	1
Ch. 1	Geometrical Structure of M	7
1.1	Preliminaries	7
1.2	Minkowski Spacetime	9
1.3	The Lorentz Group	15
1.4	Timelike Vectors and Curves	46
1.5	Spacelike Vectors	61
1.6	Causality Relations	64
1.7	Spin Transformations and the Lorentz Group	74
1.8	Particles and Interactions	87
Ch. 2	Skew-Symmetric Linear Transformations and Electromagnetic Fields	100
2.1	Motivation via the Lorentz Law	100
2.2	Elementary Properties	101
2.3	Invariant Subspaces	107
2.4	Canonical Forms	113
2.5	The Energy-Momentum Transformation	117
2.6	Motion in Constant Fields	121
2.7	Variable Electromagnetic Fields	126
Ch. 3	The Theory of Spinors	143
3.1	Representations of the Lorentz Group	143
3.2	Spin Space	161
3.3	Spinor Algebra	170
3.4	Spinors and World Vectors	178
3.5	Bivectors and Null Flags	188
3.6	The Electromagnetic Field (Revisited)	196
	Appendix A: Topologies For M	210
A.1	The Euclidean Topology	210
A.2	E-Continuous Timelike Curves	211
A.3	The Path Topology	215
	Appendix B: Spinorial Objects	226
B.1	Introduction	226
B.2	The Spinning Electron and Dirac's Demonstration	227
B.3	Homotopy in the Rotation and Lorentz Groups	229
	References	240
	Symbols	243
	Index	251