Hans Wilhelm Alt: Linear Functional Analysis

Cover: 9781447172796 | Linear Functional Analysis | An Application-Oriented Introduction

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

A complete, self-contained introduction to linear functional analysis

Includes topics such as operator theory, distributions, Sobolev spaces

Features many solved exercises

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2016
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Universitext
Inhalt:	xii 435 S. 19 s/w Illustr. 435 p. 19 illus.
ISBN-13:	9781447172796
ISBN-10:	1447172795
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Alt, Hans Wilhelm
Übersetzung:	Nürnberg, Robert
Auflage:	1st ed. 2016
Hersteller:	Springer London Springer-Verlag London Ltd. Universitext
Maße:	235 x 155 x 25 mm
Von/Mit:	Hans Wilhelm Alt
Erscheinungsdatum:	14.07.2016
Gewicht:	0,674 kg

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