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Wavelets Theory and Its Applications: A First Course

✍ Scribed by Mehra, Mani


Year
2018
Tongue
English
Leaves
185
Series
Forum for Interdisciplinary Mathematics
Category
Library

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No coin nor oath required. For personal study only.

✦ Synopsis


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.

✦ Table of Contents


Front Matter ....Pages i-xvii
Front Matter ....Pages 1-1
Preliminaries (Mani Mehra)....Pages 3-8
Fourier Analysis (Mani Mehra)....Pages 9-23
Front Matter ....Pages 25-25
Wavelets on Flat Geometries (Mani Mehra)....Pages 27-76
Wavelets on Arbitrary Manifolds (Mani Mehra)....Pages 77-93
Wavelet Transform (Mani Mehra)....Pages 95-105
Front Matter ....Pages 107-107
Introduction to Numerical Methods (Mani Mehra)....Pages 109-119
Wavelet-Galerkin Methods (Mani Mehra)....Pages 121-133
Wavelet Collocation Methods (Mani Mehra)....Pages 135-141
Other Wavelet-Based Numerical Methods (Mani Mehra)....Pages 143-153
Front Matter ....Pages 155-155
Applications of Wavelet in Inverse Problems (Mani Mehra)....Pages 157-171
Other Useful Applications of Wavelet (Mani Mehra)....Pages 173-182

✦ Subjects


Numerical Analysis;Abstract Harmonic Analysis;Applications of Mathematics


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