Elementary Functional Analysis | Taschenbuch

Cover: 9781441927538 | Elementary Functional Analysis | Barbara Maccluer | Taschenbuch | x

Rückseite: 9781441927538 | Elementary Functional Analysis | Barbara Maccluer | Taschenbuch | x

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Sprache: Englisch

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Beschreibung

Functional analysis arose in the early twentieth century and gradually, conquering one stronghold after another, became a nearly universal mathematical doctrine, not merely a new area of mathematics, but a new mathematical world view. Its appearance was the inevitable consequence of the evolution of all of nineteenth-century mathematics, in particular classical analysis and mathematical physics. Its original basis was formed by Cantor¿s theory of sets and linear algebra. Its existence answered the question of how to state general principles of a broadly interpreted analysis in a way suitable for the most diverse situations. A.M. Vershik ([45], p. 438). This text evolved from the content of a one semester introductory course in fu- tional analysis that I have taught a number of times since 1996 at the University of Virginia. My students have included ?rst and second year graduate students prep- ing for thesis work in analysis, algebra, or topology, graduate students in various departments in the School of Engineering and Applied Science, and several und- graduate mathematics or physics majors. After a ?rst draft of the manuscript was completed, it was also used for an independent reading course for several und- graduates preparing for graduate school.

Zusammenfassung

Large number of high quality exercises

Concise and gentle approach with a unique set of topics

Historical details are spread throughout the book

This book has been thoroughly class-tested

Inhaltsverzeichnis

Hilbert Space Preliminaries.- Operator Theory Basics.- The Big Three.- Compact Operators.- Banach and C -Algebras.- The Spectral Theorem.

Details

Erscheinungsjahr:	2010
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	x 208 S. 5 s/w Illustr. 208 p. 5 illus.
ISBN-13:	9781441927538
ISBN-10:	1441927530
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Maccluer, Barbara
Auflage:	Softcover reprint of hardcover 1st edition 2009
Hersteller:	Springer US Springer New York Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	Barbara Maccluer
Erscheinungsdatum:	19.11.2010
Gewicht:	0,341 kg