Saltar al contenido principal
Elsevier

Real Analysis with an Introduction to Wavelets and Applications

  • 1 Edición - 17 de diciembre de 2004
  • Última edición
  • Autores: Don Hong, Jianzhong Wang, Robert Gardner
  • Idioma: Inglés

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… Leer más

Descripción

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.

Puntos claves

  • 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

De interès para

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.

Índice

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

Reseñas

"...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

Detalles del producto

  • Edición: 1
  • Última edición
  • Publicado: 31 de diciembre de 2004
  • Idioma: Inglés

Sobre los autores

DH

Don Hong

Afiliaciones y experiencia
East Tennessee State University, Johnson City, TN

JW

Jianzhong Wang

Afiliaciones y experiencia
Sam Houston State University, Huntsville, TX

RG

Robert Gardner

Afiliaciones y experiencia
East Tennessee State University, Johnson City, TN

Ver libro en ScienceDirect

Lee Real Analysis with an Introduction to Wavelets and Applications en ScienceDirect