Summary

Provides graduate students and researchers with a usefully detailed account of computability theory as it applies to those mathematical topics which radiate fairly directly from basic physical problems. Part I (two chapters) treats computability in classical analysis, Part II (two chapters) treats the computability theory of Banach spaces, Part III (two chapters) treats the computability theory of eigenvalues and eigenvectors. Demanding, though the authors have taken evident pains to be as clear as possible and to serve usefully the widest possible audience. Contains some new material, a list of open problems and a good bibliography. Very attractively produced. (NW) Annotation(c) 2003 Book News, Inc., Portland, OR (booknews.com)