Linear Functional Analysis: An Application-Oriented Introduction

Author:   Hans Wilhelm Alt ,  Robert Nürnberg
Publisher:   Springer London Ltd
Edition:   1st ed. 2016
ISBN:  

9781447172796


Pages:   435
Publication Date:   14 July 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Linear Functional Analysis: An Application-Oriented Introduction


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Overview

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.

Full Product Details

Author:   Hans Wilhelm Alt ,  Robert Nürnberg
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   1st ed. 2016
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.682kg
ISBN:  

9781447172796


ISBN 10:   1447172795
Pages:   435
Publication Date:   14 July 2016
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

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.

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. (Vicentiu D. Radulescu, zbMATH 1358.46002, 2017)


“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)


Author Information

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.

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