  Cosmic gamma-ray bursts are one of the great frontiers of astrophysics today.
They are a playground of relativists and observers alike. They may teach us
about the death of stars and the birth of black holes, the physics in extreme
conditions, and help us probe star formation in the distant and obscured
universe. In this review we summarise some of the remarkable progress in this
field over the past few years. While the nature of the GRB progenitors is still
unsettled, it now appears likely that at least some bursts originate in
explosions of very massive stars, or at least occur in or near the regions of
massive star formation. The physics of the burst afterglows is reasonably well
understood, and has been tested and confirmed very well by the observations.
Bursts are found to be beamed, but with a broad range of jet opening angles;
the mean gamma-ray energies after the beaming corrections are ~ 10^51 erg.
Bursts are associated with faint <R> ~ 25 mag) galaxies at cosmological
redshifts, with <z> ~ 1. The host galaxies span a range of luminosities and
morphologies, but appear to be broadly typical for the normal, actively
star-forming galaxy populations at comparable redshifts and magnitudes. Some of
the challenges for the future include: the nature of the short bursts and
possibly other types of bursts and transients; use of GRBs to probe the
obscured star formation in the universe, and possibly as probes of the very
early universe; and their detection as sources of high-energy particles and
gravitational waves.
