Nonlinear dynamics and chaos theory constitute a new multidisciplinary fundamental science for engineers, i.e., it has of a theoretical and practical significance. Nonlinear Dynamics and Chaos ABC: attractors; bifurcations, basins of attraction; solution continuation, chaos and control. Analytical, numerical and experimental research methods. The method of complete bifurcation groups. Rare regular and chaotic phenomena. Multiplicity. Modern software: NLO, Spring, AUTO, Dynamics, Matcont. Applications: technical catastrophes prediction and prevention, control tasks, vibromechanics, electromechanics, cosmology, ecology, medicine.