1. Linear systems -- 2. From linear to nonlinear -- 3. FRFs of nonlinear systems -- 4. The Hilbert transform - a practical approach -- 5. The Hilbert transform - a complex analytical approach -- 6. System identification - discrete time -- 7. System identification - continuous time -- 8. The Volterra series and higher-order frequency response functions -- 9. Experimental case studies -- A. A rapid introduction to probability theory -- B. Discontinuities in the Duffing oscillator FRF -- C. Useful theorems for the Hilbert transform -- D. Frequency domain representations of [delta](t) and [epsilon](t) -- E. Advanced least-squares techniques -- F. Neural networks -- G. Gradient descent and back-propagation -- H. Properties of Chebyshev polynomials -- I. Integration and differentiation of measured time data -- J. Volterra kernels from perturbation analysis -- K. Further results on random vibration

1. Structural dynamics
2. Nonlinear theories