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.
0
This text presents a clear, systematic, and comprehensive introduction to the relevant mathematics and physics of linear and nonlinear oscillations and waves. Special emphasis is placed on the basic equations and known as well as new analytical solutions, which are clarified by numerous illustrations. The book is written for advanced undergraduate and graduate students of physics, mathematics, computer science, electrical engineering, and fluid mechanics. It will also be of use to scientists and engineers involved in research at universities and in industry.