The second edition was published as Real Analysis , Addison-Wesley, 1983. The third edition has been reorganized. After a brief introduction to point set topology, some basic theorems on continuous functions, and the introduction of Banach and Hilbert spaces, integration theory is covered so it can fit in a one-semester course. Functional analysis follows for a second semester. Examples and exercises have been added, as well as material on integration pertaining to the real line. Functional analysis now includes the Gelfand transform, and basic spectral theorems for compact, bounded hermitian, and unbounded self-adjoint operators. Annotation copyright Book News, Inc. Portland, Or.