Overview

"In the course of over thirty years of research in various fields of physics and teaching experimental physics to undergraduate and graduate students of physics, mathematics, electrical engineering, chemistry and natural sciences I missed an introductory comprehensive book on the mathematics of linear and nonlinear oscillations and waves from the point of view of physicists and engineers. Oscillations and waves are the playground for all kinds of scientists in spite of the fact that they represent essentially mathematical concepts. In this field, however, the interests of experimentalists and engineers, on one side, and mathematicians, on the other side, usually differ. The latter are most interested and engaged in proofs of general fundamentallaws on the existence and behavior of the solutions of basic differential equations and on the convergence of their approximations, whereas the former need explicit analytical and numerical solutions or approximations, computer programs and graphic displays. In the past decades a gap opened between these two groups with the result that they have difficulties in communicating with each other. This comprehensive book represents a novel attempt to bridge this gap. This book is based on my lecture notes and its predecessor ""Lineare und nichtlineare Schwingungen und Wellen"" published by B. G. Teubner, Stuttgart, FRG, in 1995. The contents of the previous book have been considerably extended, revised and improved thanks to advice from colleagues and co-workers. Additions to be mentioned are the first c1assification of two-dimensional autonomous, i. e."

Full Product Details

Author:   Fritz K. Kneubühl
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 1997
Dimensions:   Width: 15.50cm , Height: 2.70cm , Length: 23.50cm
Weight:   0.819kg
ISBN:  

9783642082818

ISBN 10:   3642082815
Pages:   523
Publication Date:   01 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Introduction.- 2 Free Oscillations.- 3 Forced Oscillations.- 4 Kinematics of Systems.- 5 Transfer Systems.- 6 Instability and Chaos.- 7 Linear Waves.- 8 Nonlinear Waves.- 9 Standing Waves.- A Appendix.- A.1 Fourier Series.- A.1.1 General Rules.- A.1.2 Real Periodic Functions.- A.2 Fourier Transformation.- A.2.1 General Rules.- A.2.2 Real Functions.- A.3 Laplace Transformation.- A.3.1 General Rules.- A.3.2 Heaviside and Dirac Functions.- A.3.3 Real Functions.- A.4 Convolution (Faltung).- A.4.1 General Rules.- A.4.2 Heaviside Unit Step.- A.4.3 Special Real Functions.- A.4.4 Hilbert Transformation.- References.- B Books.- J Publications in Journals.

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