From the reviews: "... In sum, the volume under review is the first quarter of an important work that surveys an active branch of modern mathematics. Some of the individual articles are reminiscent in style of the early volumes of the first Ergebnisse series and will probably prove to be equally useful as a reference; ...for the appropriate reader, they will be valuable sources of information about modern complex analysis." Bulletin of the Am.Math.Society, 1991 "... This remarkable book has a helpfully informal style, abundant motivation, outlined proofs followed by precise references, and an extensive bibliography; it will be an invaluable reference and a companion to modern courses on several complex variables." ZAMP, Zeitschrift fur Angewandte Mathematik und Physik, 199

• I. Remarkable Facts of Complex Analysis.- II. The Method of Integral Representations in Complex Analysis.- III. Complex Analytic Sets.- IV. Holomorphic Mappings and the Geometry of Hypersurfaces.- V. General Theory of Multidimensional Residues.- Author Index.