Elementary Functional Analysis - Couverture souple

MacCluer, Barbara

 
9781441927538: Elementary Functional Analysis
Couverture souple
ISBN 10 : 1441927530 ISBN 13 : 9781441927538
Editeur : Springer, 2010

Synopsis

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.

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Présentation de l'éditeur

This concise text on functional analysis is gently written and covers a unique set of topics. It includes numerous high-quality exercises and interesting historical tidbits scattered throughout.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
1441927530
ISBN 13 
9781441927538
Reliure
Broché
Numéro d'édition
1
Nombre de pages
220
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9780387855288: Elementary Functional Analysis

Edition présentée

ISBN 10 :  0387855289 ISBN 13 :  9780387855288
Editeur : Springer-Verlag New York Inc., 2008
Couverture rigide