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| Ïîèñê ïî óêàçàòåëÿì |
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| Smith M.S. — Principles and Applications of Tensor Analysis |
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| Ïðåäìåòíûé óêàçàòåëü |
Acceleration and force vectors, Minkowski 111—115
Admissible transformations 21—22
Associated tensors and the inner product 36—38
Base vectors 33—36
Basic tensor theory 13—40
Basic tensor theory, admissible transformations 21—22
Basic tensor theory, associated tensors and the inner product 36—38
Basic tensor theory, base vectors 33—36
Basic tensor theory, contravariant tensors 22—25
Basic tensor theory, covariant tensors 25—27
Basic tensor theory, higher rank and mixed tensors 27—28
Basic tensor theory, Kronecker deltas 39—40
Basic tensor theory, line element 28—33
Basic tensor theory, metric tensors 28—33
Basic tensor theory, N dimensional space 22
Basic tensor theory, relative tensors 15—21
Basic tensor theory, summation notation 14—15
Christoffel symbols 43—47
Christoffel symbols, transformation of 47—51
Classical and relativistic mechanics 95—124
Classical and relativistic mechanics, classical solution of the two-body problem 99—101
Classical and relativistic mechanics, dynamics of a particle for classical mechanics 95—96
Classical and relativistic mechanics, Einstein's energy equation 109—111
Classical and relativistic mechanics, four-dimensional Minkowski momentum vector 109—111
Classical and relativistic mechanics, Geodesic equations for the twobody problem in classical mechanics 101—104
Classical and relativistic mechanics, gravitational equations 115—120
Classical and relativistic mechanics, Lagrange's equations of motion for classical mechanics 96—99
Classical and relativistic mechanics, Minkowski acceleration and force vectors 111—115
Classical and relativistic mechanics, relativistic solution of the two-body problem for the general theory of relativity 121—124
Classical and relativistic mechanics, space-time and the Lorentz transformations 105—109
Classical mechanics, dynamics of a particle for 95—96
Classical mechanics, geodesic equations for the two-body problem in 101—104
Classical mechanics, Lagrange's equations of motion for 96—99
Classical solution of the two-body problem 99—101
Contravariant tensors 22—25
Covariant derivatives 51—53
Covariant derivatives, mixed and higher rank 53—54
Covariant tensors 25—27
Curvature, Gaussian 72—75
Deltas, Kronecker 39—40
Derivatives, covariant 51—53
Derivatives, intrinsic 54—59
Determinate, Jacobian 15—16
Displacements parallel 86—87
Dynamics of a particle for classical mechanics 95—96
Einstein's energy equation 109—111
Einstein's energy equation, gravitational equations for the general theory of relativity 115—120
Einstein's energy equation, gravitational potential 61
Electrostatic potential 61
Element, line 28—33
Energy, kinetic 95
Equation, Einstein's energy 109—111
Equation, Laplace's 59—65
Equations for the general theory of relativity, Einstein's, gravitational 115—120
Equations, geodesic, for the two-body problem in classical mechanics 101—104
Equations, Lagrange's 96—99
Force and acceleration vectors, Minkowski 111—115
Formulas, Serret — Frenet 75—80
Four-dimensional Minkowski momentum vector 109—111
Gaussian curvature 72—75
General theory of relativity 61
Geodesic equations for the two-body problem in classical mechanics 101—104
Geodesies 80—86
Gravitational equations for the general theory of relativity, Einstein's 115—120
Gravitational potential 25 61
Higher rank and mixed covariant derivatives 53—54
Higher rank and mixed tensors 27—28
Inner product 36—38
Intrinsic derivatives 54—59
Jacobian determinate 15—16
kinetic energy 95
Kronecker deltas 35—40
Lagrange's equations of motion for classical mechanics 96—99
| Laplace's equation 59—65
Line element 28—33
Lorentz transformations and Minkowski space-time 105—109
Magnetism, potential for 61
Mechanics, classical, dynamics of a particle for 95—96
Mechanics, classical, geodesic, equations for the two-body problem in 101—104
Metric tensors 28—33
Minkowski acceleration and force vectors 111—115
Minkowski momentum vector, four-dimensional 109—111
Minkowski space-time and the Lorentz transformation 105—109
Mixed and higher rank covariant derivatives 53—54
Mixed and higher rank tensors 27—28
Momentum, concept 95
Momentum, vector, four-dimensional Minkowski 109—111
N dimensional space 22
Newtonian gravitational potential 25 61
Notation, summation 14—15
Parallel displacements 86—87
Potential for magnetism 61
Potential, electrostatic 61
Relative tensors 15—21
Relativistic and classical mechancs 95—124
Relativistic and classical mechancs, classical solution of the two-body problem 99—101
Relativistic and classical mechancs, dynamics of a particle for classical mechanics 95—96
Relativistic and classical mechancs, Einstein's energy equation 109—111
Relativistic and classical mechancs, four-dimensional Minkowski momentum vector 109—111
Relativistic and classical mechancs, geodesic equations for the two-body problem in classical mechanics 101—104
Relativistic and classical mechancs, gravitational equations 115—120
Relativistic and classical mechancs, Lagrange's equations of motion for classical mechanics 96—99
Relativistic and classical mechancs, Minkowski acceleration and force vectors 111—115
Relativistic and classical mechancs, Minkowski space-time and the Lorentz transformations 105—109
Relativistic and classical mechancs, relativistic solution of the two-body problem for the general theory of relativity 121—124
Relativistic solution of the two-body problem for the general theory of relativity 121—124
Relativity theory, relativistic solution of two-body problem for 121—124
Relativity, general theory of 61
Ricci tensors 72
Riemann — Christoffel tensors 69—72
Serret — Frenet formulas 75—80
Space, N dimensional 22
Summation notation 14—15
Surfaces, first fundamental form 87—88
Symbols, Christoffel 43—47
Symbols, Christoffel, transformation of 47—51
Tensor theory, basic 13—40
Tensor theory, basic, admissible transformations 21—22
Tensor theory, basic, associated tensors and the inner product 36—38
Tensor theory, basic, base vectors 33—36
Tensor theory, basic, contravariant tensors 22—25
Tensor theory, basic, covariant tensors 25—27
Tensor theory, basic, higher rank and mixed tensors 27—28
Tensor theory, basic, Kronecker deltas 39—40
Tensor theory, basic, line element 28—33
Tensor theory, basic, metric tensors 28—33
Tensor theory, basic, N dimensional space 22
Tensor theory, basic, relative tensors 15—21
Tensor theory, basic, summation notation 14—15
Tensors, associated 36—38
Tensors, contravariant 22—25
Tensors, covariant 25—27
Tensors, higher rank and mixed 27—28
Tensors, metric 28—33
Tensors, relative 15—21
Tensors, Ricci 72
Tensors, Riemann — Christoffel 69—72
Theory of relativity, general 61
Transformation of Christoffel symbols 47—51
Transformations, admissible 21—22
Transformations, Lorentz 105—109
Two-body problem for the general theory of relativity, relativists solution of 121—124
Two-body problem, classical solution of the 99—101
Vectors, base 33—36
Vectors, four-dimensional Minkowski momentum 109—111
Vectors, Minkowski acceleration and force 111—115
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