Fourier Analysis: Volume 1, Theory (London Mathematical Society Student Texts #85) (Paperback)

Fourier Analysis: Volume 1, Theory (London Mathematical Society Student Texts #85) By Adrian Constantin Cover Image
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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.

Product Details
ISBN: 9781107620353
ISBN-10: 110762035X
Publisher: Cambridge University Press
Publication Date: May 31st, 2016
Pages: 366
Language: English
Series: London Mathematical Society Student Texts