Real Analysis with an Introduction to Wavelets and Applications

Inbunden, Engelska, 2004

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Beskrivning

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

Produktinformation

Utgivningsdatum:2004-12-31
Mått:152 x 229 x 40 mm
Vikt:720 g
Format:Inbunden
Språk:Engelska
Antal sidor:392
Förlag:Elsevier Science
ISBN:9780123548610

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

By Mr. Don Hong, Mr. Jianzhong Wang and Mr. Robert Gardner

Recensioner i media

"...the wavelet treatment makes it attractive and gives it an edge over many texts." --David Ruch, Metropolitan 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

Innehållsförteckning

Preface1. Fundamentals2. Measure Theory3. The Lebesgue Integral4. Special Topics of Lebesgue Integral & Applications5. Vector Spaces, Hilbert Spaces, and the L2 Space6. Fourier Analysis7. Orthonormal Wavelet Bases8. Compactly Supported Wavelets9. Wavelets in Signal ProcessingAppendix A: List of Symbols