Exercises in Functional Analysis

Authors: Alt, Hans Wilhelm
A complete, self-contained introduction to linear functional analysis
Includes topics such as operator theory, distributions, Sobolev spaces
Features many solved exercises

Authors: Farenick, Douglas
Tailored to novice mathematicians and non-specialists who wish to learn functional analysis with minimal prerequisites
Contains many interesting examples and challenging exercises
Covers a selection of topics that, while decades old, are of lasting value to both pure and applied mathematics
Presents an outstanding treatment of Banach spaces and operator theory, being written by a specialist in these areas

A novel, practical introduction to functional analysis
In the twenty years since the first edition of Applied Functional Analysis was published, there has been an explosion in the number of books on functional analysis. Yet none of these offers the unique perspective of this new edition. Jean-Pierre Aubin updates his popular reference on functional analysis with new insights and recent discoveries-adding three new chapters on set-valued analysis and convex analysis, viability kernels and capture basins, and first-order partial differential equations. He presents, for the first time at an introductory level, the extension of differential calculus in the framework of both the theory of distributions and set-valued analysis, and discusses their application for studying boundary-value problems for elliptic and parabolic partial differential equations and for systems of first-order partial differential equations.