Space, Time, MatterCosimo, Inc., 01.06.2007 - 350 Seiten |
Inhalt
1 | |
2 | |
Conception of ndimensional Geometry Linear Algebra Quadratic Forms | 3 |
Foundations of Metrical Geometry | 4 |
Tensors | 5 |
Tensor Algebra Examples | 6 |
7 Symmetrical Properties of Tensors | 7 |
Tensor Analysis Stresses | 8 |
RELATIVITY OF SPACE AND TIME 19 Galileis and Newtons Principle of Relativity | 149 |
Electrodynamics of Varying Fields Lorentzs Theorem of Relativity | 160 |
Einsteins Principle of Relativity | 169 |
Relativistic Geometry Kinematics and Optics | 179 |
Electrodynamics of Moving Bodies | 188 |
Mechanics of the Principle of Relativity | 196 |
Mass and Energy | 200 |
Mies Theory | 206 |
The Stationary Electromagnetic Field | 9 |
Note on NonEuclidean Geometry | 10 |
Riemanns Geometry | 11 |
Riemanns Geometry continued Dynamical View of Metrics | 12 |
Tensors and Tensordensities in an Arbitrary Manifold | 13 |
Affinely Connected Manifolds | 14 |
Curvature | 15 |
Metrical Space | 16 |
Remarks on the Special Case of Riemanns Space | 17 |
Space Metrics from the Point of View of the Theory of Groups CHAPTER III | 18 |
11 | 29 |
27 | 46 |
33 | 51 |
43 | 54 |
Relativity of Motion Metrical Field and Gravitation | 218 |
Einsteins Fundamental Law of Gravitation | 229 |
Stationary Gravitational Field Relationship with Experience | 240 |
Gravitational Waves | 248 |
Further Rigorous Solutions of the Statical Problem of Gravitation | 259 |
Energy of Gravitation Laws of Conservation | 268 |
World Metrics as the Origin of Electromagnetic Phenomena | 282 |
Application of the Simplest Principle of Action Fundamental | 295 |
BIBLIOGRAPHICAL REFERENCES | 319 |
196 | 321 |
325 | |
328 | |
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according æther affine geometry arbitrary assume co-efficients co-ordinate system co-variant condition congruent transference const constant corresponding curvature definite denotes density derived determined differential form direction dx² Einstein Einstein's Theory electric electron energy Euclidean geometry Euclidean space expressed force formula four-dimensional function fundamental geodetic gik's gravitational equations gravitational field hence inertial infinitely near points infinitesimal integral invariant light-ray linear form manifold mass mathematical matter Maxwell's Maxwell's equations means measure mechanics metrical field metrical groundform metrical space metrical structure motion parallel displacement particle phase-quantities physical laws plane point-mass positive potential principle of relativity quadratic differential quadratic form quantities radius respect result Riemann rotation scalar second order sphere statical straight line surface symmetrical tensor tensor-density theorem theory of relativity transformation vanish variables variation vector velocity vide note world-line world-point дхі дхк