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Functional Analysis
- An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
Engelsk Paperback
Functional Analysis
- An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
Engelsk Paperback

526 kr
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Om denne bog
This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates. Starting from the very basics of metric spaces, the book adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, including the spectral theorem, the Gelfand transform, and Banach algebras. Various applications, such as least squares approximation, inverse problems, and Tikhonov regularization, illustrate the theory. Over 1000 worked examples and exercises of varying difficulty present the reader with ample material for reflection. This new edition of Functional Analysis has been completely revised and corrected, with many passages rewritten for clarity, numerous arguments simplified, and a good amount of new material added, including new examples and exercises. The prerequisites, however, remain the same with only knowledge of linear algebra and real analysis of a singlevariable assumed of the reader.
Product detaljer
Sprog:
Engelsk
Sider:
464
ISBN-13:
9783031275364
Indbinding:
Paperback
Udgave:
ISBN-10:
3031275365
Udg. Dato:
29 feb 2024
Længde:
31mm
Bredde:
235mm
Højde:
155mm
Forlag:
Springer International Publishing AG
Oplagsdato:
29 feb 2024
Forfatter(e):
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