Fourier analysis.
Constantin, Adrian,
Fourier analysis. Part I, Theory / Adrian Constantin, Universität Wien, Austria. - Cambridge : Cambridge University Press, 2016. - 1 online resource (xiv, 353 pages) : digital, PDF file(s). - London Mathematical Society student texts ; 85 . - London Mathematical Society student texts ; 85. .
Title from publisher's bibliographic system (viewed on 05 May 2016).
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.
9781107358508 (ebook)
Fourier analysis.
Mathematical analysis.
QA403.5 / .C66 2016
515/.2433
Fourier analysis. Part I, Theory / Adrian Constantin, Universität Wien, Austria. - Cambridge : Cambridge University Press, 2016. - 1 online resource (xiv, 353 pages) : digital, PDF file(s). - London Mathematical Society student texts ; 85 . - London Mathematical Society student texts ; 85. .
Title from publisher's bibliographic system (viewed on 05 May 2016).
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.
9781107358508 (ebook)
Fourier analysis.
Mathematical analysis.
QA403.5 / .C66 2016
515/.2433