Vibrations and Waves in Physics

Portada
Cambridge University Press, 1993 M07 30 - 359 páginas
For the third edition of this successful undergraduate text, the author has made a number of changes to improve the presentation and clarify some of the arguments, and has also brought several of the applications up to date. The new material includes an elementary, descriptive introduction to the ideas behind the new science of chaos. The overall objectives of the book are unchanged: to lead the student to a thorough understanding of the basic concepts of vibrations and waves, to show how these concepts unify a wide variety of familiar physics, and to open doors to advanced topics which they illuminate. Each section of the book contains a brief summary of its salient contents. There are approximately 180 problems to which all numerical answers are provided, together with hints for their solution. This book is designed both for use as a text for an initial undergraduate course on vibrations and waves, and for a reference at later stages when more advanced topics or applications are met.
 

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Contenido

Free vibrations
1
11 Harmonic motion
2
12 Alternative mathematics for harmonic motion
10
Problems
14
Free vibrations in physics
15
22 Acoustic vibrations
18
23 Plasma vibrations
21
24 Molecular vibrations
24
95 Attenuation
165
Problems
170
Nondispersive waves in physics
173
101 Longitudinal waves
174
102 Acoustic waves
177
103 Cable waves
183
Problems
190
Fourier theory
192

25 Circuit oscillations
29
Problems
32
Damping
34
31 Light damping
35
32 Heavy damping
39
33 Critical damping
42
Problems
43
Damping in physics
45
42 Electromagnetic damping
46
43 Collision damping
49
44 Friction damping
52
Problems
54
Forced vibrations
56
51 Steady states
57
52 Superposition
67
53 Transients
72
Problems
75
Forced vibrations in physics
78
62 Scattering of light
81
63 Dielectric susceptibility
84
64 Absorption of microwaves by water
86
Problems
92
Anharmonic vibrations
93
72 An asymmetric return force
99
73 Forced vibrations of nonlinear systems
104
Problems
110
Twocoordinate vibrations
112
82 Forced vibrations
123
83 How to find the mode coordinates
128
84 Coupled circuits
135
Problems
138
Nondispersive waves
141
91 Travelling waves
143
92 Reflection of travelling waves
148
93 Standing waves
156
94 Energy propagation
161
111 Harmonic analysis
193
112 Modulation
202
113 Pulses and wave groups
205
Problems
211
Dispersion
213
122 Lumpy strings
221
123 Evanescent waves
227
Problems
234
Water waves
236
132 The dispersion relation
249
133 Examples of water waves
252
Problems
256
Electromagnetic waves
258
141 Electromagnetic waves in a vacuum
259
142 Electromagnetic waves in a dielectric
265
143 Electromagnetic waves in a plasma
270
Problems
276
De Broglie waves
278
151 Wave functions
279
152 Physical implications
282
Problems
286
Solitary waves
287
162 Nonlinear dispersion
293
Problems
297
Plane waves at boundaries
299
172 Standing waves in an enclosure
308
Problems
318
Diffraction
320
181 Features due to the arrangement of the diffraction centres
321
182 Features due to the nature of the diffraction centres
330
Problems
339
Answers to problems and hints for solution
343
Constants and units
351
Index
352
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