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Real Analysis with an Introduction to Wavelets and Applications - Don Hong

Real Analysis with an Introduction to Wavelets and Applications

Hardcover

Published: 1st December 2004
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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, 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

Preface
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
List of Symbols
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780123548610
ISBN-10: 0123548616
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 392
Published: 1st December 2004
Publisher: Elsevier Science Publishing Co Inc
Country of Publication: US
Dimensions (cm): 22.9 x 15.2  x 2.54
Weight (kg): 0.73