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Published by Springer International Publishing, 2024
ISBN 10: 3031275365 ISBN 13: 9783031275364
Language: English
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 Analysishas been completely revised and corrected, withmany 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.
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Add to basketPaperback. Condition: Brand New. 2nd edition. 477 pages. 9.25x6.10x0.97 inches. In Stock.
Published by Springer, Berlin, Springer International Publishing, Springer, 2014
ISBN 10: 3319067273 ISBN 13: 9783319067278
Language: English
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Add to basketTaschenbuch. Condition: Neu. Neuware - This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields.Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, based upon the classical sequence and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis; the latter is redone in the light of metric spaces. It contains more than a thousand worked examples and exercises, which make up the main body of the book.
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Add to basketPaperback. Condition: Brand New. 2nd edition. 477 pages. 9.25x6.10x0.97 inches. In Stock. This item is printed on demand.