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Thomas T. Y. — The elementary theory of tensors with applications to geometry and mechanics.
Thomas T. Y. — The elementary theory of tensors with applications to geometry and mechanics.

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Название: The elementary theory of tensors with applications to geometry and mechanics.

Автор: Thomas T. Y.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st

Год издания: 1931

Количество страниц: 130

Добавлена в каталог: 20.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Accelerations      58 83
Accelerations, center of      85
Accelerations, centripetal      84
Accelerations, composition of      58
Accelerations, tangential      85
Accelerations, transformation of      58
Action and Reaction, Principle of      95
Amplitude      105
Angle of rotation      64
Angle, definition      38
Angular velocity      77
Area of parallelogram      43
Axes, central      71
Axes, coordinate      28
Axes, instantaneous, central      74 80
Axes, right-handed and left-handed      39
Axis of rotation, definition      64
Axis of rotation, instantaneous      74 76
Base point, definition      69
Bocher      1
Center of acceleration      85
Center of gravity      107
Center of oscillation      107
Center of rotation      68 81
Center of suspension      107
Central Axis      71
Central axis, instantaneous      74 80
Central axis, surfaces generated by      81
Central motion      60 113
centripetal acceleration      84
Compound pendulum      107
Configurations, congruence of      26
Conical pendulum      112
Constraints      100
coordinates      14 15
Coordinates, allowable system of      89
Coordinates, Cartesian      27
Coordinates, generalized      100
Coordinates, origin of      29
Coordinates, orthogonal transformation of      40
Coordinates, rectangular Cartesian      27 38
Coordinates, transformation of      15 39
Coriolis, acceleration of      86
Coriolis, theorem of      85
Critical velocity      115
Curl of a vector      51
Derivatives, definition      3
Determinants, definition      8
Determinants, functional or Jacobian      16
Determinants, minors and cofactors of      10
Determinants, multiplication of      11
Differentials      6 20
Dimensional formulae      97
Direction cosines      28
Direction numbers      28
Displacements of rigid bodies      29 31 63 66 68 70
Displacements, composition of      72
Displacements, instantaneous screw      74 80
Displacements, screw      70
Displacements, virtual      102
Distance, mean      115
Distance, measurement of      34
Divergence of a vector      47
Dynamical principle of relativity      89
Dynamical systems, definition      88
Dynamical systems, degree of freedom of      101
Dynamical systems, holonomic      101
Dynamical systems, non-holonomic      101
Dyne      92
Eddington, A.S.      90
Einstein, A.      43 53 90
Elliptic-harmonic motion      59 105
energy equation      116
Equations, Lagrange's      101
Equations, parametric      27
Equations, solution of linear      11
Euclidean principle of relativity      42
Fine      1
Force, definition      92
Force, generalized      102
Force, mutual independence of      94
Force, unit of      92
Functions      2
Functions, Euler's theorem on homogeneous      6
Functions, point      19
Functions, rational      30
Generalized coordinates      100
Generalized force      102
Geometry, Euclidean      25 47
Geometry, physical      25
Gram      92
Gravitational constant      96
Group of transformations, definition      42
Group of transformations, kinematical      55
Group of transformations, orthogonal      39
Holonomic dynamical systems      101
Infinitesimals, definition      2
Integrals, definition of indefinite and definite      7
Integrals, double and triple      8
Integrand, definition      7
Invariant theoretic viewpoint      45
Invariants, scalar      46
Invariants, vector      49
Kepler's laws of planetary motion      115
Kinematical group of transformations      55
Kinematical principle of relativity      54
Kinetic energy, definition      103
Kinetic potential, definition      103
Kronecker's delta      17
Lagrange's equations      101
Lagrange's equations, transformation theory of      117
Lagrangian function, definition      104
Lamb      115
Length, unit of      37
Lines, direction of      28
Lines, equations of      27
Lines, world      56
Lorentz transformation      90
Mass, Mach's definition of      91
Mass, unit of      92
Matrix, augmented      12
Matrix, definition      9
Matrix, determinants of      10
Mean Solar Day      54
Meter, International      37
Moment of inertia      107
Motion, central      60 113
Motion, curvilinear      55 59
Motion, elliptic-harmonic      59 105
Motion, plane      66 81
Motion, rectilinear      59
Motion, simple-harmonic      59 61 105
Newtonian dynamics      88
Newtonian law of gravitation      96
Non-holonomic dynamical systems      101
Orthogonal transformations of coordinates      39 40
Pendulum, compound      107
Pendulum, conical      112
Pendulum, double      106
Pendulum, simple      99 104
Phase      105
Pitch of screw displacement      17 81
Plane motion      66 81
Plane, coordinate      28
Plane, equation of      28
POINTS      1 14
Points, base      69
Points, motion of      55
Points, transformation of      39
Potential energy, definition      103
Principle of action and reaction      95
Principle of relativity, dynamical      89
Principle of relativity, Euclidean      42
Principle of relativity, kinematical      54
Rigid body, accelerations in      83
Rigid body, continuous motion of      73
Rigid body, definition      26
Rigid body, degree of freedom of      61
Rigid body, displacements of      29 31 63 66 68 70
Rigid body, general motion of      79
Rigid body, velocities in      73
Rotations about a fixed point      63 74
Rotations about an axis      64 74 76
Scalar invariant, definition      46
Scalars, definition      19
Screw displacement      70
Screw displacement, instantaneous      74 80
simple pendulum      99 104
Space      14
Space, dimensionality of      14 26
Space, Euclidean      25
Space-time representation      56
Special theory of relativity      54 90
Summation convention      16
Tangential acceleration      85
Tensors, addition of      23
Tensors, contraction of      24
Tensors, definition      22
Tensors, differentiation of      48
Tensors, multiplication of      23
Tensors, special      48
Tensors, symmetric and skew-symmetric      24
Time      52
Time, origin of      53
Time, unit of      53 54
Trajectory of moving point      55
Transformations, coordinate      15 39
Transformations, group of      42
Transformations, point      39
Translation      68
Translation, velocity of      79
Variables      1
Vector invariant, definition      49
Vector product      49
Vectors, addition of      21
Vectors, curl of      51
Vectors, definition      20
Vectors, divergence of      47
Vectors, equality of two      21
Vectors, length of      47
Vectors, scalar product of two      22
Vectors, vector product of two      48
Velocities      57 73
Velocities, angular      77
Velocities, composition of      58
Velocities, critical      115
Velocities, moment of      111
Velocities, parallelogram law of addition of      59
Velocities, transformation of      58
Virtual displacements      102
Volume of tetrahedron      44
Weight, definition      94
Weyl, H.      90
Whittaker      70
Work      102
World line      56
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