Real Analysis with an Introduction to Wavelets and Applications
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An in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many associated applications. *The text is relatively elementary at the start, but the level of difficulty steadily increases *The book contains many clear, detailed examples, case studies and exercises *Many real world applications relating to measure theory and pure analysis *Introduction to wavelet analysis.
Hong, Don; Wang, Jianzhong; and Gardner, Robert. 2005. Real Analysis with an Introduction to Wavelets and Applications. Academic Press. ISBN: 9780123548610 https://doi.org/10.1016/B978-0-12-354861-0.X5000-3