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The field of nuclear science has considerably advanced since its beginningjust over a century ago. Today, the science of rare isotopes is on the cusp ofa new era with theoretical and computing advances complementing experimentalcapabilities at new facilities internationally. In this article we present avision for the science of rare isotope beams (RIBs). We do not attempt to coverthe full breadth of the field, but rather provide a perspective and address aselection of topics that reflect our own interests and expertise. We focus inparticular on systems near the drip lines, where one often finds nuclei thatare referred to as "exotic," and where the role of the "nuclear continuum" isonly just starting to be explored. An important aspect of this article is theattempt to highlight the crucial connections between nuclear structure andnuclear reactions required to fully interpret and leverage the rich data to becollected in the next years at RIB facilities. Further, we connect the effortsin structure and reactions to key questions of nuclear astrophysics.

A Vision for the Science of Rare Isotopes