Overview
- 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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Table of contents (11 chapters)
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Front Matter
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Mathematical Foundation
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Front Matter
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Introduction to Wavelets
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Front Matter
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Wavelets Based Numerical Methods for Differential Equations
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Front Matter
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Applications of Wavelets in Other Fields
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Front Matter
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Keywords
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.
Authors and Affiliations
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.
Bibliographic Information
Book Title: Wavelets Theory and Its Applications
Book Subtitle: A First Course
Authors: Mani Mehra
Series Title: Forum for Interdisciplinary Mathematics
DOI: https://doi.org/10.1007/978-981-13-2595-3
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2018
Hardcover ISBN: 978-981-13-2594-6Published: 13 November 2018
eBook ISBN: 978-981-13-2595-3Published: 03 November 2018
Series ISSN: 2364-6748
Series E-ISSN: 2364-6756
Edition Number: 1
Number of Pages: XVII, 182
Number of Illustrations: 60 b/w illustrations, 18 illustrations in colour
Topics: Numerical Analysis, Abstract Harmonic Analysis, Applications of Mathematics