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Электронная библиотека Попечительского совета
механико-математического факультета
Московского государственного университета
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| Smith M.S. - Principles and Applications of Tensor Analysis |
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| Предметный указатель |
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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