Henri Poincare and Relativity Theory

A.A. Logunov9785020339644, 5020339644

Table of contents :
Preface……Page 3
Euclidean geometry……Page 5
Classical Newtonian mechanics……Page 7
Electrodynamics. Space-time geometry……Page 22
The relativity of time and the contraction of length……Page 65
Relating velocities……Page 75
Elements of vector and tensor analysis in Minkowski space……Page 76
Lorentz group……Page 80
Invariance of Maxwell-Lorentz equations……Page 83
Poincaré’s relativistic mechanics……Page 104
The principle of stationary action in electrodynamics……Page 148
The motion of a test body by inertia. Covariant differentiation……Page 157
Relativistic motion with constant acceleration. The clock paradox. Sagnac effect……Page 165
Concerning the limit velocity……Page 184
Thomas precession……Page 196
The equations of motion and conservation laws in classical field theory……Page 201
Lobachevsky velocity space……Page 220
Bibliography……Page 239
Contents……Page 253