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Real Analysis with an Introduction to Wavelets and Applications

Real Analysis with an Introduction to Wavelets and Applications

Don Hong | Jianzhong Wang | Robert Gardner

(2004)

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Book Details

Abstract

Real Analysis with an Introduction to Wavelets and Applications is 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

"...the wavelet treatment makes it attractive and gives it an edge over many texts."
David Ruch, Metroploitan State College
"The exercises I looked at were at a much more appropriate level than my current text. This book provides more exposition and more applications than traditional real analysis texts."
Doug Hardin, Vanderbilt University