Universitext

Linear Functional Analysis

An Application-Oriented Introduction

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
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eBook $59.99
price for USA (gross)
  • ISBN 978-1-4471-7280-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA
valid through November 5, 2017
  • ISBN 978-1-4471-7279-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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 the authors

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.

Reviews

“The volume under review deals rigorously with mathematical models of certain applicability to real world problems. From this viewpoint it is a significant contribution to a currently active area of research. … this book will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations. … I wholeheartedly recommend this book both as a textbook, as well as for independent study.” (Vicenţiu D. Rădulescu, zbMATH 1358.46002, 2017)


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Table of contents (12 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-1-4471-7280-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA
valid through November 5, 2017
  • ISBN 978-1-4471-7279-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Linear Functional Analysis
Book Subtitle
An Application-Oriented Introduction
Authors
Translated by
Nürnberg, R.
Series Title
Universitext
Copyright
2016
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-7280-2
DOI
10.1007/978-1-4471-7280-2
Softcover ISBN
978-1-4471-7279-6
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XII, 435
Number of Illustrations and Tables
19 b/w illustrations
Additional Information
Original German edition with the title Lineare Funktionalanalysis (6th ed.) published by Springer-Verlag Berlin Heidelberg, 2012
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