Volume 1 has the subtitle Basic Problems and ModelSystems and consists of five parts. The first two parts deal with density matrices and electron correlation. Kozmutza, Kapui, and Udvardi have carried out an interesting study of transferability of electron correlation effects in a localized representation. Examples are taken from CH and CC bonds in polyenes and noble-gas clusters. Most of the other chapters consist of improved calculations of correlation effects on various properties. The last chapter, by Kaplan et al., is different since it describes calculations on a cluster of a superconducting CuO system. Here the chances to obtain a converged and meaningful end result are not great, but the authors make a brave and far-reaching attempt using second-order Møller-Plesset (MP2) method with careful inclusion of the Madelung corrections. Three copper atoms are included, but the two outermost ones are missing one of their oxygen neighbors. The hole states, due to the missing electron in the Cu 3d subshell, is localized on different atoms and in different orbitals, depending on calculation method. This confusing picture seems to be unavoidable and has been seen before in studies by Broer and Nieuwpoort and other works cited in the Kaplan paper.Part III, containing "Relativistic Formulations," is impressive in both width and depth. Particularly the first two chapters, written by Kaldor and Eliav and by Karwowski et al., are interesting reading and give a good summary of the field.