This very comprehensive and practical textbook presents a clear, systematic and comprehensive introduction to the relevant mathematics and physics of linear and nonlinear oscillations and waves. It explains even the most complicated cases clearly, with numerous illustrations for further clarification.
This very comprehensive and practical textbook presents a clear, systematic and comprehensive introduction to the relevant mathematics and physics of linear and nonlinear oscillations and waves. It explains even the most complicated cases clearly, with numerous illustrations for further clarification.
The author has lectured basic and advanced physics to physicists, mathematicians, chemists, and natural scientists for over thirty years. In addition to 400 scientific publications he has written the two well-known German books "Repetitorium der Physik" (also in Russian) and "Laser" (with M.W. Sigrist).
Inhaltsangabe
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.
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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