Supernovae, their bearing on cosmology and their connection to gamma-ray bursts are now at the center of astrophysical research programs. This volume deals with astronomical observations of supernovae and their relation to nuclear and particle astrophysics. All known aspects of supernovae explosions are investigated in articles specifically written for researchers and advanced graduate students. It also includes recent numerical "experiments" related to the question of hydrodynamical instability in two and three dimensions and to problems concerning the complexity of radiation transport in the models. Other contributions discuss the possible energy sources needed to drive these powerful stellar explosions.