UID:
almafu_9960118555902883
Umfang:
1 online resource (xi, 458 pages) :
,
digital, PDF file(s).
Ausgabe:
First edition.
ISBN:
9781009234337
,
1009234331
,
9781139524445
,
1139524445
Serie:
London Mathematical Society student texts ; 101
Inhalt:
Functional analysis deals with infinite-dimensional spaces. Its results are among the greatest achievements of modern mathematics and it has wide-reaching applications to probability theory, statistics, economics, classical and quantum physics, chemistry, engineering, and pure mathematics. This book deals with measure theory and discrete aspects of functional analysis, including Fourier series, sequence spaces, matrix maps, and summability. Based on the author's extensive teaching experience, the text is accessible to advanced undergraduate and first-year graduate students. It can be used as a basis for a one-term course or for a one-year sequence, and is suitable for self-study for readers with an undergraduate-level understanding of real analysis and linear algebra. More than 750 exercises are included to help the reader test their understanding. Key background material is summarized in the Preliminaries.
Anmerkung:
Title from publisher's bibliographic system (viewed on 10 Jan 2022).
,
Lebesgue measure -- Lebesgue integral -- Some calculus -- Abstract measures -- Metric and normed spaces -- Linear operators -- Fourier series -- Applications -- Sequence spaces -- Matrix maps, multipliers, and duality -- Summability.
Weitere Ausg.:
ISBN 9781107034143
Weitere Ausg.:
ISBN 1107034140
Sprache:
Englisch
Schlagwort(e):
Llibres electrònics
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