The manual on the modern theory of oscillations and waves can be used by students of higher educational institutions studying in physical, radiophysical, physical-technical, engineering-physical areas. The material corresponds to the course of general physics. The manual is built in such a way that, using the example of the theory of vibrations and waves, students see the relationship between different areas of physics. The book can serve as a basis for understanding theoretical physics. Allowed UMO in classical university education of the Russian Federation as a teaching aid for students of higher educational institutions studying in the areas of higher education "Physics" and "Radiophysics."