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Calculus: Concepts and Contexts, Single Variable

not live long enough to develop his ideas himself. The reader who wishes to know something about the remarkable history of the theory of three-manifolds will find very little in this book, but may turn instead to my forthcoming History of Topology (North Holland 1998). Thurston's book, for which the editor must receive some credit, is labelled Volume 1, without any hint of what may be to follow. Let us hope that this will not turn out to be another case, of which the history of topology has provided all too many instances, where the first volume has proved to be the only one. What the reader will find in it is a selection of topics which are not to be found in the standard repertoire. The individual chapters—What is a manifold? Hyperbolic Geometry and its Friends, Geometric Manifolds, the Structure of Discrete Groups—contain a great deal of interesting mathematics and perhaps form part of a master-plan the nature of which has yet to be revealed.