Advertisement

Wavelets Theory and Its Applications

A First Course

  • Mani┬áMehra

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

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Mathematical Foundation

    1. Front Matter
      Pages 1-1
    2. Mani Mehra
      Pages 3-8
    3. Mani Mehra
      Pages 9-23
  3. Introduction to Wavelets

    1. Front Matter
      Pages 25-25
    2. Mani Mehra
      Pages 27-76
    3. Mani Mehra
      Pages 77-93
    4. Mani Mehra
      Pages 95-105
  4. Wavelets Based Numerical Methods for Differential Equations

    1. Front Matter
      Pages 107-107
    2. Mani Mehra
      Pages 109-119
    3. Mani Mehra
      Pages 121-133
    4. Mani Mehra
      Pages 135-141
    5. Mani Mehra
      Pages 143-153
  5. Applications of Wavelets in Other Fields

    1. Front Matter
      Pages 155-155
    2. Mani Mehra
      Pages 173-182

About this book

Introduction

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.   

Keywords

Fourier analysis Multiresolution analysis arbitrary manifolds Wavelet transform Finite difference methods Finite elements methods Finite volume methods Wavelet Galerkin methods Wavelet Collocation methods

Authors and affiliations

  • Mani┬áMehra
    • 1
  1. 1.Department of MathematicsIndian Institute of Technology DelhiNew DelhiIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-2595-3
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-13-2594-6
  • Online ISBN 978-981-13-2595-3
  • Series Print ISSN 2364-6748
  • Series Online ISSN 2364-6756
  • Buy this book on publisher's site
Industry Sectors
Aerospace
Oil, Gas & Geosciences
Engineering