Postmodern Analysis (Universitext) by Jurgen Jost

An introduction to advanced analysis, this textbook blends modern presentation with concrete examples and applications - especially in the areas of calculus of variations and partial differential equations. The text tries to impart a working knowledge of the key methods of contemporary analysis, particularly those relevant for application in physics. Banach space, Lebesgue integration theory and Sobolev space theory are all discussed.