Bressan (Penn State U.) introduces linear functional analysis, extending the techniques and results of classical linear algebra to infinite-dimensional spaces. The graduate text explores Banach spaces and Hilbert spaces and covers enough of the theory of Sobolev spaces and semigroups of linear operators for developing applications to elliptic, parabolic, and hyperbolic partial differential equations. Appendices review partially ordered sets, Lebesgue measure theory, and mollifications. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)