J. Frank Adams, one of the world’s leading topologists, solved a number of celebrated problems in algebraic topology, a subject in which he initiated many of the most active areas of research. His papers written between 1955 and 1988, few of which have been superseded, are characterised by elegant writing and depth of thought. These two 1992 volumes contain all his major research contributions. The first contains papers on: the cobar construction, the Adams spectral sequence, higher-order cohomology operations, and the Hopf invariant one problem, amongst other topics. The second volume is mainly concerned with Adams’ contributions to: characteristic classes and calculations in K-theory; modules over the Steenrod algebra and their Ext groups; finite H-spaces and compact Lie groups; and maps between classifying spaces of compact groups. Anyone interested in algebraic topology will want to own a copy of these volumes as a historical record and a source of reference.