Linear Functional Analysis : An Application Oriented Introduction This book gives an introduction to Linear Functional Analysis a synthesis of algebra topology and analysis. In addition to the basic theory it explains operator theory distributions Sobolev spaces and many other things. The text is self contained and includes all proofs as well as many exercises most of them with solutions. Moreover there are a number of appendices for example on Lebesgue integration theory. A complete introduction to the subject Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations. Introduction Preliminaries Function spaces Subsets of function spaces Linear operators Linear functionals Uniform boundedness principle Weak convergence Finite dimensional approximation Compact operators Spectrum of compact operators Self adjoint operators References Symbols Index.