Real Analysis with an Introduction to Wavelets and Applications,
Edition 1
By Don Hong, Jianzhong Wang and Robert Gardner

Publication Date: 14 Dec 2004
Description
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.

Key Features

  • 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
About the author
By Don Hong, East Tennessee State University, Johnson City, TN; Jianzhong Wang, Sam Houston State University, Huntsville, TX and Robert Gardner, East Tennessee State University, Johnson City, TN
Table of 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
Book details
ISBN: 9780123548610
Page Count: 392
Retail Price : £84.00
Bartle: INTRODUCTION TO REAL ANALYSIS, 3E, Wiley (1999, Hardcover, 388 pgs, 0471321486, $109.95/£36.95)
Royden: REAL ANALYSIS, 3E, Macmillan USA (1998, Hardcover, 434 pgs, 0024041513, $101.33/£44.99)
Folland: REAL ANALYSIS: Modern Techniques and Their Applications (Wiley Series in Pure & Applied Mathematics), 2E, Wiley (1999, Hardcover, 408 pgs, 0471317160, $94.50/£61.95)
Audience
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.