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VIBRATIONS AND WAVES George C. King School of Physics & Astronomy, The University of Manchester, Manchester, UK A John Wiley and Sons, Ltd., Publication Vibrations and Waves The Manchester Physics Series General Editors F.K. LOEBINGER: F. MANDL: D.J. SANDIFORD School of Physics & Astronomy, The University of Manchester Properties of Matter: B.H. Flowers and E. Mendoza Statistical Physics: Second Edition F. Mandl Electromagnetism: Second Edition I.S. Grant and W.R. Phillips Statistics: R.J. Barlow Solid State Physics: Second Edition J.R. Hook and H.E. Hall Quantum Mechanics: F. Mandl Computing for Scientists: R.J. Barlow and A.R. Barnett The Physics of Stars: Second Edition A.C. Phillips Nuclear Physics J.S. Lilley Introduction to Quantum Mechanics A.C. Phillips Particle Physics: Third Edition B.R. Martin and G. Shaw Dynamics and Relativity J.R. Forshaw and A.G. Smith Vibrations and Waves G.C. King This edition ﬁrst published 2009  2009 John Wiley & Sons Ltd Registered ofﬁce John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom For details of our global editorial ofﬁces, for customer services and for information about how to apply for permission to reuse the copyright material in this book please see our website at www.wiley.com. The right of the author to be identiﬁed as the author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1988. All right ...
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