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Wavelets Theory and Its Applications

A First Course

  • Textbook
  • © 2018


  • Discusses about the fundamentals of wavelet theory and its applications
  • Maintains a balance between mathematical rigour and practical applications of wavelet theory
  • Uses the remarks and graphical representations to explain mathematical ideas in a conversational way
  • Applies MATLAB codes to solve numerical examples

Part of the book series: Forum for Interdisciplinary Mathematics (FFIM)

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About this book

This book provides comprehensive information on the conceptual basis of wavelet theory and it applications. Maintaining an essential balance between mathematical rigour and the practical applications of wavelet theory, the book is closely linked to the wavelet MATLAB toolbox, which is accompanied, wherever applicable, by relevant MATLAB codes. The book is divided into four parts, the first of which is devoted to the mathematical foundations. The second part offers a basic introduction to wavelets. The third part discusses wavelet-based numerical methods for differential equations, while the last part highlights applications of wavelets in other fields. The book is ideally suited as a text for undergraduate and graduate students of mathematics and engineering.   

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Table of contents (11 chapters)

  1. Mathematical Foundation

  2. Introduction to Wavelets

  3. Wavelets Based Numerical Methods for Differential Equations

  4. Applications of Wavelets in Other Fields

Authors and Affiliations

  • Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India

    Mani Mehra

About the author

MANI MEHRA is an associate professor at the Department of Mathematics, Indian Institute of Technology Delhi, India. She received her PhD in Applied Mathematics on “Wavelet-based fast time accurate schemes and preconditioners for partial differential equations” from the Indian Institute of Technology Kanpur, India, in April 2005 and her MSc in Applied Mathematics from the Indian Institute of Technology Roorkee, India, in July 2000. She is on the editorial board of the Journal of Wavelet Theory and Applications and the International Journal of BioSciences and Technology. Her research interests include wavelet methods for partial differential equations, numerical methods and inverse problems. 

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