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.
Rezensionen / Stimmen
"...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
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science Publishing Co Inc
Zielgruppe
Für Beruf und Forschung
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.
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-12-354861-0 (9780123548610)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
By Mr. Don Hong, Mr. Jianzhong Wang and Mr. Robert Gardner
Autor*in
East Tennessee State University, Johnson City, TN
Sam Houston State University, Huntsville, TX
East Tennessee State University, Johnson City, TN
Preface
1. Fundamentals
2. Measure Theory
3. The Lebesgue Integral
4. Special Topics of Lebesgue Integral & Applications
5. Vector Spaces, Hilbert Spaces, and the L2 Space
6. Fourier Analysis
7. Orthonormal Wavelet Bases
8. Compactly Supported Wavelets
9. Wavelets in Signal Processing
Appendix A: List of Symbols
