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Hopf L., Nef W. — Introduction To The Differential Equations Of Physics
Hopf L., Nef W. — Introduction To The Differential Equations Of Physics



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Название: Introduction To The Differential Equations Of Physics

Авторы: Hopf L., Nef W.

Аннотация:

The first portion of this concise introduction to ordinary and partial differential equations acquaints the reader with equations describ ing the more important theories of classical physics. It covers the
mechanics of particles, potential, heat conduction, energy, electro dynamics, oscillations, ectromagnetic waves and potentials.The concluding chapters introduce some of the standard ways Tor solving those differential equations which have been derived: Eigenfunctions, Fourier series and integrals, Green's theorem, particular solutions in coordinates, asymptotic expansions, change of variables, conformal mapping, singularities, and transition to integral equations. Mathematics is developed in close connection with physical problems, as needed. Elementary physical intuition is skillfully blended with formal mathematics. This volume is specially apt for self-study,since no mathematical background beyond elementary calculus is required of the reader. "A remarkably good presentation . . . one could hardly be without
this book on his shelf for quick reference," YALE BIOPHYSICS REVIEW. "Ideal for the young prospective physicist . . . for the more advanced student who wants a compact compilation," AMERICAN
MATHEMATICAL MONTHLY. "The author should be congratulated . . . recommended to future engineers and physicists," ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1948

Количество страниц: 154

Добавлена в каталог: 11.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acceleration      7
Acoustics      36 93
Airfoil      75 137
Airship      151
Amplitude      29 32 33 36
Aperiodic motion      31
Assoc. Legendre functions      107
Asymptotic expansions      113
Bending of beams      3
Bessel functions      103 109
boundary conditions      3 74 82 95 135 152
Boundary conditions, homogeneous      86 99 100
Cauchy — Riemann equations      130
Causality      2
Charge      51 66 77 142 146
Condenser      134 137
Conductivity      78 80
Conformal mapping      134
Continuity, equation of      69 74 77
Coordinates, Cartesian      42 48 56 102 122
Coordinates, cylindrical      44 49 57 102
Coordinates, spherical      44 50 58 104
Curl      52
Current      77
Curves of constant potential      131
Degree of freedom      39
density      66 68
dielectric constant      78
Diffusion      67
Dipole      142
dispersion      97
Divergence      46
Eigenfunction      87 95 98 101 124
Eigenvalue      87 95 99 101 116 152
Electrodynamics      75
Electronic theory      76 149
Electrostatics      65 137 146
Energy      16 25 65 78
Euler's equation      70 71
Fall, free      8
Faraday's law      75
Field      45 51 75
Fluid dynamics      65 68 131 136
force      7
Force, central      19
Force, exterior      21
Force, interior      21
Force, line of      45 132
Fourier series      88
Fourier series, integral      123
frequency      28 95 122
Friction      12 67
Galileo      1
Gauss' theorem      51 100 141
Gradient      41
Gravitation      14 64 141
Green's theorem      100
Heat conduction      66ff. 115
Heat flow      115
Heat source      146
Heat, specific      66
Induction      75
Initial conditions      3 9
Integral equation      150
Joule heat      78
Kepler's laws      20 21
Kernel      150
Laplace      59
Light, propagation of      79
Logarithmic decrement      30
Mass      7 68
Maxwell      75
moment      19
Moment of inertia      24 37
Moment of momentum      19 23
Momentum      22
Newton      1 2 7 14 65 69
Optics      3
Orthogonality      101 121
Oscillation      26 27
Oscillation, coupled      33
Oscillation, damped      29
Oscillation, forced      31
Oscillation, fundamental      95
Oscillation, harmonic      26 95
Oscillation, rotational      36
Particle      6
Period      29 96
Permeability      78
Phase      29 32 36
Planet      14
Potential      65 71 80 118 137 146 150
Poynting      79
Propagation of waves      122
Propagation of waves, velocity      68 96
Quantum theory      3
Recurrence formula      109
Reflection      143
Relativity      5
Resonance      33 97
Retarded potential      150
scalar      4 41 48 55 67
Scalar product      15
Separation of variables      12
Series      107ff.
Singularities      140ff.
Source      46 77 140 151
Spherical functions      106 111 118
Stability      38
Stokes      53
Stream line      45 131
Stream line, tube      45
Taylor      62
Tensor      4 67
Trajectory      12
Vector      4 18 42 67 75
Vector potential      80 131
Vector product      18
Velocity      6 68
Velocity of light      76 79
Velocity potential      74
Velocity, angular      24 55
Vortex      73
Wave equation      67 79
Wave length      96
Wave mechanics      5
Wave propagation      122
Work      16 55
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