Linear Functional Analysis: An Application-Oriented Introduction (Universitext) - Softcover

Alt, Hans Wilhelm

Softcover

ISBN 10: 1447172795 ISBN 13: 9781447172796

Publisher: Springer, 2016

Synopsis

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.

About this title

About the Author

Professor Alt's work has had a significant impact on the areas of applied analysis and partial differential equations, in particular in the applications to mechanics and thermodynamics. Recently, he worked in the mathematical theory of phase transition and made contributions to the entropy principle. Alt was professor at the Institute of Applied Mathematics at the University of Bonn, and since 2011 lectures as Honorary Professor at the Technical University of Munich.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2016
• Language: English
• ISBN 10: 1447172795
• ISBN 13: 9781447172796
• Binding: Paperback
• Edition number: 1
• Number of pages: 447