Real Analysis with an Introduction to Wavelets and Applications
By- Don Hong, East Tennessee State University, Johnson City, TN
- Jianzhong Wang, Sam Houston State University, Huntsville, TX
- Robert Gardner, East Tennessee State University, Johnson City, TN
An in-depth look at real analysis and its applications, including an introduction to waveletanalysis, 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.
Audience
The book is intended for a one year senior undergraduate or beginning graduate course in Real
Analysis, Applied Analysis or Applied Mathematics found in mathematics, statistics, engineering and physics departments.
Hardbound, 392 Pages
Published: December 2004
Imprint: Academic Press
ISBN: 978-0-12-354861-0
Contents
- Fundamentals; Measure Theory; The Lebesgue Integral; Special Topics of Lebesgue Integral & Applications; Vector Spaces, Hilbert Spaces, and the L2 Space; Fourier Analysis; Orthonormal Wavelet Bases; Compactly Supported Wavelets; Wavelets in Signal Processing
