Format:
Online-Ressource (XIV, 314 p. 8 illus., 1 illus. in color, online resource)
ISBN:
9783319170190
Series Statement:
UNITEXT 89
Content:
1 Part I Measure and Integration -- 2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index
Content:
This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra
Note:
1 Part I Measure and Integration2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index.
Additional Edition:
ISBN 9783319170183
Additional Edition:
Erscheint auch als Druck-Ausgabe Cannarsa, Piermarco, 1957 - Introduction to measure theory and functional analysis Cham : Springer, 2015 ISBN 331917018X
Additional Edition:
ISBN 9783319170183
Language:
English
Subjects:
Mathematics
Keywords:
Maßtheorie
;
Integrationstheorie
;
Funktionalanalysis
;
Maßtheorie
;
Integrationstheorie
;
Funktionalanalysis
;
Lehrbuch
DOI:
10.1007/978-3-319-17019-0
URL:
Volltext
(lizenzpflichtig)
Author information:
Cannarsa, Piermarco 1957-
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