Real Analysis with an Introduction to Wavelets and Applications book cover

Real Analysis with an Introduction to Wavelets and Applications

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 RealAnalysis, 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

Reviews

  • "...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

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

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