J. Tinsley Oden: Applied Functional Analysis

Cover: 9781032476377 | Applied Functional Analysis | J. Tinsley Oden (u. a.) | Taschenbuch

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Beschreibung

Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science.

This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque measure and integration theory, plus topology with metric spaces.

The final two chapters provides readers with an in-depth look at the theory of Banach and Hilbert spaces before concluding with a brief introduction to Spectral Theory.

The Third Edition is more accessible and promotes interest and motivation among students to prepare them for studying the mathematical aspects of numerical analysis and the mathematical theory of finite elements.

The final two chapters provides readers with an in-depth look at the theory of Banach and Hilbert spaces before concluding with a brief introduction to Spectral Theory.

Zusammenfassung

J. Tinsley Oden is the Director of the Institute for Computational Engineering and Sciences (ICES) and Associate Vice President for

Research at The University of Texas at Austin. Dr. Oden is also a member of the US National Academy of Engineering and the

recipient of the 2009 SIAM Distinguished Career Award. He holds five honorary doctorates and was knighted Chevalier de l'Ordre

des Palmes Académiques by the French government.

Leszek F. Demkowicz is the Assistant Director of ICES and a professor in the Department of Aerospace Engineering and

Engineering Mechanics at The University of Texas at Austin. Dr. Demkowicz was one of the founding members of the Polish

Association for Computational Mechanics (PACM), serving as its first president from 1991 to 1993. His recent research has been

summarized in the two volumes Computing with hp-ADAPTIVE FINITE ELEMENTS (CRC Press, 2007 and 2008). For his work on

hp methods, he was awarded the 2009 Zienkiewicz Medal by PACM and the 2009 Computational and Applied Sciences Award by

the United States Association for Computational Mechanics (USACM).

Inhaltsverzeichnis

Preliminaries

Elementary Logic and Set Theory

Relations; Functions

Cardinality of Sets

Foundations of Abstract Algebra

Elementary Topology in Rn

Elements of Differential and Integral Calculus

Linear Algebra

Vector Spaces-The Basic Concepts

Linear Transformations

Algebraic Duals; Euclidean Spaces

Lebesgue Measure and Integration

Lebesgue Measure

Lebesgue Integration Theory

Topological and Metric Spaces

Elementary Topology

Theory of Metric Spaces

Banach Spaces

Topological Vector Spaces

Hahn-Banach Extension Theorem

Bounded (Continuous) Linear Operators on Normed Spaces

Closed Operators

Topological Duals

Weak Compactness

Closed Range Theorem

Solvability of Linear Equations

Hilbert Spaces

Basic Theory

Duality in Hilbert Spaces

Elements of Spectral Theory

References

Details

Erscheinungsjahr:	2023
Fachbereich:	Astronomie
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Einband - flex.(Paperback)
ISBN-13:	9781032476377
ISBN-10:	1032476370
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Oden, J. Tinsley Demkowicz, Leszek
Auflage:	3. Aufl.
Hersteller:	Taylor & Francis Chapman and Hall/CRC
Verantwortliche Person für die EU:	preigu GmbH & Co. KG, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de
Abbildungen:	55 SW-Abb.
Maße:	33 x 178 x 254 mm
Von/Mit:	J. Tinsley Oden (u. a.)
Erscheinungsdatum:	21.01.2023
Gewicht:	1,08 kg