Wavelet Transforms and Their Applications

Authors: Debnath, Lokenath, Shah, Firdous

  • Provides exercises at the end of each chapter and provides selected answers
  • Introduction to wavelet transforms and accessible to a larger audience
  • New revised chapters on Extensions of Multiresolution Analysis, New Lawds’s Harmonic Wavelets, and Applications of Wavelet Transforms.
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eBook $69.99
price for USA (gross)
  • ISBN 978-0-8176-8418-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-8176-8417-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. Topics and Features: * This second edition heavily reworks the chapters on Extensions of Multiresolution Analysis and Newlands’s Harmonic Wavelets and introduces a new chapter containing new applications of wavelet transforms * Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offers detailed and clear explanations of every concept and method, accompanied by carefully selected worked examples, with special emphasis given to those topics in which students typically experience difficulty * Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.

About the authors

Lokenath Debnath, Ph.D., is a Professor of Mathematics at The University of Texas-Pan American. He received his Ph.D. in Applied Mathematics from the University of London, and a Ph.D. in Pure Mathematics from the University of Calcutta.  His areas of interest are applied mathematics, applied partial differential equations, integral transforms, fluid dynamics, and continuum mechanics. Firdous Ahmad Shah, Ph.D., is an Assistant Professor in the Post Graduate Department of Mathematics at the University of Kashmir.  His areas of specialization are: wavelets, wavelet packets, applications of wavelets in financial time series, and wavelet neural networks.

Reviews

“It can be seen as a reference text or as a study book, complete with definitions, theorems, proofs and exercises. … The book is an up to date reference work on univariate Fourier and wavelet analysis including recent developments in multiresolution, wavelet analysis, and applications in turbulence. The systematic construction of the chapters with extensive lists of exercises make it also very suitable for teaching.” (Adhemar Bultheel, euro-math-soc.eu, February, 2015)

“The book is primarily aimed at advanced undergraduates and graduate students across all of applied mathematics. It is a good source of information for all professionals interested in wavelet transforms and their applications.” (Yuri A. Farkov, zbMATH 1308.42030, 2015)


Table of contents (10 chapters)

  • Brief Historical Introduction

    Debnath, Lokenath (et al.)

    Pages 1-27

  • Hilbert Spaces and Orthonormal Systems

    Debnath, Lokenath (et al.)

    Pages 29-127

  • Fourier Transforms and Their Applications

    Debnath, Lokenath (et al.)

    Pages 129-242

  • The Gabor Transform and Time–Frequency Signal Analysis

    Debnath, Lokenath (et al.)

    Pages 243-286

  • The Wigner–Ville Distribution and Time–Frequency Signal Analysis

    Debnath, Lokenath (et al.)

    Pages 287-336

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-0-8176-8418-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-8176-8417-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Wavelet Transforms and Their Applications
Authors
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-0-8176-8418-1
DOI
10.1007/978-0-8176-8418-1
Hardcover ISBN
978-0-8176-8417-4
Edition Number
2
Number of Pages
XV, 553
Number of Illustrations and Tables
60 b/w illustrations
Topics