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Smith M.S. Ч Principles and Applications of Tensor Analysis
Smith M.S. Ч Principles and Applications of Tensor Analysis

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Ќазвание: Principles and Applications of Tensor Analysis

јвтор: Smith M.S.

язык: en

–убрика: ћатематика/јнализ/“ензорный анализ, формы/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1963

 оличество страниц: 128

ƒобавлена в каталог: 16.04.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Acceleration and force vectors, Minkowski      111Ч115
Admissible transformations      21Ч22
Associated tensors and the inner product      36Ч38
Base vectors      33Ч36
Basic tensor theory      13Ч40
Basic tensor theory, admissible transformations      21Ч22
Basic tensor theory, associated tensors and the inner product      36Ч38
Basic tensor theory, base vectors      33Ч36
Basic tensor theory, contravariant tensors      22Ч25
Basic tensor theory, covariant tensors      25Ч27
Basic tensor theory, higher rank and mixed tensors      27Ч28
Basic tensor theory, Kronecker deltas      39Ч40
Basic tensor theory, line element      28Ч33
Basic tensor theory, metric tensors      28Ч33
Basic tensor theory, N dimensional space      22
Basic tensor theory, relative tensors      15Ч21
Basic tensor theory, summation notation      14Ч15
Christoffel symbols      43Ч47
Christoffel symbols, transformation of      47Ч51
Classical and relativistic mechanics      95Ч124
Classical and relativistic mechanics, classical solution of the two-body problem      99Ч101
Classical and relativistic mechanics, dynamics of a particle for classical mechanics      95Ч96
Classical and relativistic mechanics, Einstein's energy equation      109Ч111
Classical and relativistic mechanics, four-dimensional Minkowski momentum vector      109Ч111
Classical and relativistic mechanics, Geodesic equations for the twobody problem in classical mechanics      101Ч104
Classical and relativistic mechanics, gravitational equations      115Ч120
Classical and relativistic mechanics, Lagrange's equations of motion for classical mechanics      96Ч99
Classical and relativistic mechanics, Minkowski acceleration and force vectors      111Ч115
Classical and relativistic mechanics, relativistic solution of the two-body problem for the general theory of relativity      121Ч124
Classical and relativistic mechanics, space-time and the Lorentz transformations      105Ч109
Classical mechanics, dynamics of a particle for      95Ч96
Classical mechanics, geodesic equations for the two-body problem in      101Ч104
Classical mechanics, Lagrange's equations of motion for      96Ч99
Classical solution of the two-body problem      99Ч101
Contravariant tensors      22Ч25
Covariant derivatives      51Ч53
Covariant derivatives, mixed and higher rank      53Ч54
Covariant tensors      25Ч27
Curvature, Gaussian      72Ч75
Deltas, Kronecker      39Ч40
Derivatives, covariant      51Ч53
Derivatives, intrinsic      54Ч59
Determinate, Jacobian      15Ч16
Displacements parallel      86Ч87
Dynamics of a particle for classical mechanics      95Ч96
Einstein's energy equation      109Ч111
Einstein's energy equation, gravitational equations for the general theory of relativity      115Ч120
Einstein's energy equation, gravitational potential      61
Electrostatic potential      61
Element, line      28Ч33
Energy, kinetic      95
Equation, Einstein's energy      109Ч111
Equation, Laplace's      59Ч65
Equations for the general theory of relativity, Einstein's, gravitational      115Ч120
Equations, geodesic, for the two-body problem in classical mechanics      101Ч104
Equations, Lagrange's      96Ч99
Force and acceleration vectors, Minkowski      111Ч115
Formulas, Serret Ч Frenet      75Ч80
Four-dimensional Minkowski momentum vector      109Ч111
Gaussian curvature      72Ч75
General theory of relativity      61
Geodesic equations for the two-body problem in classical mechanics      101Ч104
Geodesies      80Ч86
Gravitational equations for the general theory of relativity, Einstein's      115Ч120
Gravitational potential      25 61
Higher rank and mixed covariant derivatives      53Ч54
Higher rank and mixed tensors      27Ч28
Inner product      36Ч38
Intrinsic derivatives      54Ч59
Jacobian determinate      15Ч16
kinetic energy      95
Kronecker deltas      35Ч40
Lagrange's equations of motion for classical mechanics      96Ч99
Laplace's equation      59Ч65
Line element      28Ч33
Lorentz transformations and Minkowski space-time      105Ч109
Magnetism, potential for      61
Mechanics, classical, dynamics of a particle for      95Ч96
Mechanics, classical, geodesic, equations for the two-body problem in      101Ч104
Metric tensors      28Ч33
Minkowski acceleration and force vectors      111Ч115
Minkowski momentum vector, four-dimensional      109Ч111
Minkowski space-time and the Lorentz transformation      105Ч109
Mixed and higher rank covariant derivatives      53Ч54
Mixed and higher rank tensors      27Ч28
Momentum, concept      95
Momentum, vector, four-dimensional Minkowski      109Ч111
N dimensional space      22
Newtonian gravitational potential      25 61
Notation, summation      14Ч15
Parallel displacements      86Ч87
Potential for magnetism      61
Potential, electrostatic      61
Relative tensors      15Ч21
Relativistic and classical mechancs      95Ч124
Relativistic and classical mechancs, classical solution of the two-body problem      99Ч101
Relativistic and classical mechancs, dynamics of a particle for classical mechanics      95Ч96
Relativistic and classical mechancs, Einstein's energy equation      109Ч111
Relativistic and classical mechancs, four-dimensional Minkowski momentum vector      109Ч111
Relativistic and classical mechancs, geodesic equations for the two-body problem in classical mechanics      101Ч104
Relativistic and classical mechancs, gravitational equations      115Ч120
Relativistic and classical mechancs, Lagrange's equations of motion for classical mechanics      96Ч99
Relativistic and classical mechancs, Minkowski acceleration and force vectors      111Ч115
Relativistic and classical mechancs, Minkowski space-time and the Lorentz transformations      105Ч109
Relativistic and classical mechancs, relativistic solution of the two-body problem for the general theory of relativity      121Ч124
Relativistic solution of the two-body problem for the general theory of relativity      121Ч124
Relativity theory, relativistic solution of two-body problem for      121Ч124
Relativity, general theory of      61
Ricci tensors      72
Riemann Ч Christoffel tensors      69Ч72
Serret Ч Frenet formulas      75Ч80
Space, N dimensional      22
Summation notation      14Ч15
Surfaces, first fundamental form      87Ч88
Symbols, Christoffel      43Ч47
Symbols, Christoffel, transformation of      47Ч51
Tensor theory, basic      13Ч40
Tensor theory, basic, admissible transformations      21Ч22
Tensor theory, basic, associated tensors and the inner product      36Ч38
Tensor theory, basic, base vectors      33Ч36
Tensor theory, basic, contravariant tensors      22Ч25
Tensor theory, basic, covariant tensors      25Ч27
Tensor theory, basic, higher rank and mixed tensors      27Ч28
Tensor theory, basic, Kronecker deltas      39Ч40
Tensor theory, basic, line element      28Ч33
Tensor theory, basic, metric tensors      28Ч33
Tensor theory, basic, N dimensional space      22
Tensor theory, basic, relative tensors      15Ч21
Tensor theory, basic, summation notation      14Ч15
Tensors, associated      36Ч38
Tensors, contravariant      22Ч25
Tensors, covariant      25Ч27
Tensors, higher rank and mixed      27Ч28
Tensors, metric      28Ч33
Tensors, relative      15Ч21
Tensors, Ricci      72
Tensors, Riemann Ч Christoffel      69Ч72
Theory of relativity, general      61
Transformation of Christoffel symbols      47Ч51
Transformations, admissible      21Ч22
Transformations, Lorentz      105Ч109
Two-body problem for the general theory of relativity, relativists solution of      121Ч124
Two-body problem, classical solution of the      99Ч101
Vectors, base      33Ч36
Vectors, four-dimensional Minkowski momentum      109Ч111
Vectors, Minkowski acceleration and force      111Ч115
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