Linear Functional Analysis: An Application-Oriented Introduction
Springer | Mathematics | Aug. 7 2016 | ISBN-10: 1447172795 | 435 pages | pdf | 4.71 mb
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
This book gives an introduction to Linear Functional Analysis, which is 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.
Number of Illustrations and Tables
19 b/w illustrations
Original German edition with the title Lineare Funktionalanalysis (6th ed.) published by Springer-Verlag Berlin Heidelberg, 2012
Partial Differential Equations