Real Analysis with an Introduction to Wavelets and Applications
- 1st Edition - December 14, 2004
- Latest edition
- Authors: Don Hong, Jianzhong Wang, Robert Gardner
- Language: English
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 popula… Read more
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
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.
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
"...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
- Edition: 1
- Latest edition
- Published: December 14, 2004
- Language: English
DH
Don Hong
Affiliations and expertise
East Tennessee State University, Johnson City, TNJW
Jianzhong Wang
Affiliations and expertise
Sam Houston State University, Huntsville, TXRG
Robert Gardner
Affiliations and expertise
East Tennessee State University, Johnson City, TNRead Real Analysis with an Introduction to Wavelets and Applications on ScienceDirect