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Eddington A.S. — The mathematical theory of relativity
Eddington A.S. — The mathematical theory of relativity



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Название: The mathematical theory of relativity

Автор: Eddington A.S.

Аннотация:

A FIRST draft of this book was published in 1921 as a mathematical supplement to the French Edition of Space, Time and Gravitation. During the ensuing eighteen months I have pursued my intention of developing it into a more systematic and comprehensive treatise on the mathematical theory of Relativity. The matter has been rewritten, the sequence of the argument rearranged in many places, and numerous additions made throughout; so that the work is now expanded to three times its former size. It is hoped that, as now enlarged, it may meet the needs of those who wish to enter fully into these problems of reconstruction of theoretical physics.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2 - ed

Год издания: 1930

Количество страниц: 282

Добавлена в каталог: 06.05.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Number of electrons in the world      167
Numerical value of quantum      237
Operators, $\mathfrak{h}$      139
Operators, $\square$      64
Orbits of planets      85
Order, coordinate agreeing with structural      225
Parallel displacement      70 213
Parallelogram-law      214
Parallelogramical property      226
Particle, dynamics of      125
Particle, gravitational field of      82 100
Particle, motion of      36
Particle, symmetry of      125 155
Percipient, determines natural laws by selection      238
Perigee, advance of      99
Perihelion, advance of      88
Perihelion, in curved world      100
permanence      115
Permeability, magnetic      195 234
Perpendicularity of vectors      57
Persistence and adjustment      208
Physical quantities      1
Physical quantities, definition of      3
Planetary orbits      85
Point-electron      186
Ponderomotive force      see Mechanical force
Postulates, list of      104
potential energy      135 148
Potential, electromagnetic      171 175 201
Potential, gravitational      59 124
Poynting’s vector      183
Precession of inertial frame      99
Pressure, hydrostatic      121
Pressure, in homogeneous sphere      169
Principle of dimensions      48 54
Principle of equivalence      41
Principle of identification      119 222
Principle of least action      139 147 209
Principle of measurement      220 238
Problem of homogeneous sphere      168
Problem of rotating disc      112
Problem of two bodies      95
Product, inner and outer      53
Propagation of electromagnetic waves      175
Propagation of gravitational waves      130
Propagation with unit velocity      64
Propagation with unit velocity, solution of equation      178
Proper- (prefix)      34; see Invariant mass and Density
Proper-coordinates      80
Proper-time      87
Proper-volume      110
Pseudo-energy-tensor      135
Pseudo-vector      179
Quadratic formula for interval      10
Quadratic formula for interval, justification of      224
Quadric of curvature      152
Quantity and intensity      111
Quantum, excluded from coordinate calculations      225
Quantum, numerical value of      237
Quotient law      54
Rapidity      22
Recession of spiral nebulae      157 161
Rectangular coordinates and time      13
Red-shift of spectral lines in nebulae      157 161
Red-shift of spectral lines in sun      91
Relation-structure      224
Relativity of physical quantities      5
Retardation of moving clocks      16 26
Retarded potential      179
Riemann — Christoffel tensor      72
Riemann — Christoffel tensor, generalisation of      204 215
Riemann — Christoffel tensor, importance of      79
Riemann — Christoffel tensor, vanishing of      73 76
Riemannian geometry      11
Rotating axes, quadratic form for      35
Rotating disc      112
Rotation, absolute      99
scalar      52
SCALAR-DENSITY      111
Self-perpendicular vector      57
Simultaneity at different places      27
Space, a network of intervals      158
Spacelike intervals      22
Special theory of relativity      16
Spectral lines, displacement in nebulae      157 161
Spectral lines, displacement in sun      91
Sphere, problem of homogeneous      168
Spherical curvature, radius of      151
Spherical world      155 161
Spiral nebulae, velocities of      162
Spur      58
Static coordinates      81
Stationary action, principle of      139 147 209
Stokes’s theorem      67
Stokes’s theorem, application of      214
Stress-system      117
Stress-system, electromagnetic      183
Stress-system, gravitational field due to      104
Stress-system, non — Maxwellian      184
Structure, represented by relations      224
Substitution-operator      51 55
Suffixes, raising and lowering of      56
Summation convention      50
Sun, gravitational mass of      87
Surface-element      66
Surface-element, in-invariant pertaining to      232
Symmetry, a relative attribute      155
Symmetry, of a particle      125 155
Symmetry, of an electron      192
Temperature      34
Tensor      51
Tensor equations      49
Tensor-density      111
Things      221
Three-index symbol      58
Three-index symbol, contracted      74
Three-index symbol, generalised      203 218
Time, convention in reckoning      15 29
Time, definition of      14
Time, extended meaning      39
Time, immediate consciousness of      23
Timelike intervals      22
Track of moving particle and light-pulse      36
Transformation of coordinates, general      34 43
Transformation of coordinates, Lorentz      17
Transport of clocks      15 27
Two bodies, problem of      95
Uniform mesh-system      77
Uniform vector-field      73
Unit, change of      48
Unit, of action      237
Vector      43
Vector, mathematical notion of      44
Vector, physical notion of      47
Velocity of light      19
Velocity of light in moving matter      21
Velocity of light in sun’s gravitational field      93
Velocity, fundamental      19
Velocity-vector      71
Volume, electromagnetic      194
Volume, generalised      206 232
Volume, physical and geometrical      110
Volume-element      109
Wave-equation, solution of      178
Waves, electromagnetic      175
Waves, gravitational      130
Weyl’s theory      198
Weyl’s theory, modified view of      208
World geometry      198
World, mass of      160 166
World, shape of      155
World-invariants, dynamical properties of      228
World-line      125
Zero-length of light tracks      199
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