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" Fourier analysis with applications. "
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BL
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| Record Number
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839248
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| Main Entry
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Constantin, Adrian
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| Title & Author
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Fourier analysis with applications.
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| Publication Statement
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Cambridge: Cambridge University Press,, 2016.
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| Series Statement
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London Mathematical Society student texts Fourier analysis with applications
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| Page. NO
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1 online resource (xiv, 353 pages)
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| ISBN
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1107358507
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: 9781107358508
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1107044103
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9781107044104
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Abstract
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Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study.
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| Subject
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Fourier analysis.
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Mathematical analysis.
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Fourier analysis.
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Mathematical analysis.
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| Dewey Classification
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515/.2433
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| LC Classification
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QA403.5.C66 2016
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| Parallel Title
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London Mathematical Society Student Texts: Volume 1
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