The book guides the reader to the research frontiers in atomic physics with heavy ions, giving a concise image of the advanced experimental and theoretical methods exemplified by the most recent results. It ranges from accelerator and ion trap technology, over the important and fundamental details in the understanding of strongly bound far-electron systems, to radiative and collisional phenomena of these objects. The subfields have been carefully selected; each is covered by leading experts who draw a lively picture of their research.