This monograph presents many novel aspects of draw resonance, which remains an important field of research in the context of material processing. Draw resonance is used in film casting and fiber spinning at a large industrial scale for the production of polymer films, glass sheets and fibers. The book provides the most complete and coherent picture of draw resonance instability that is available so far in literature, treating all physical aspects together in a consistent and unprecedented way. The argumentation focuses on the physics underlying the observed phenomena, which comprise gravity, inertia, surface tension (for fibre spinning), necking (for film casting), viscoelasticity and thermal effects, all intricately affecting the threshold of the draw resonance. Thus, for the first time, the (de-)stabilizing mechanisms of draw resonance are unraveled, while many stability maps are provided for practical use. To complete the educational aspect, input files for the free software AUTO-07p are made available online, allowing readers to obtain most of the data provided in the monograph. An indispensable book for graduate students, researchers and professionals in material processing.