Mathematics Textbooks for Science and Engineering

Applied Mathematics

Data Compression, Spectral Methods, Fourier Analysis, Wavelets, and Applications

Authors: Chui, Charles K., Jiang, Qingtang

  • A comprehensive Applied Mathematics Textbook on the theory and methods with the central theme of information data processing, manipulation, and compression
  • Self-contained with minimum prerequisites from elementary linear algebra and calculus
  • A Text book for teaching at both undergraduate and beginning graduate levels 
  • Self-study for researchers in all disciplines of science and engineering
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eBook $69.99
price for USA (gross)
  • ISBN 978-94-6239-009-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-94-6239-008-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

This textbook, apart from introducing the basic aspects of applied mathematics, focuses on recent topics such as information data manipulation, information coding, data approximation, data dimensionality reduction, data compression, time-frequency and time scale bases, image manipulation, and image noise removal. The methods treated in more detail include spectral representation and “frequency” of the data, providing valuable information for, e.g. data compression and noise removal. Furthermore, a special emphasis is also put on the concept of “wavelets” in connection with the “multi-scale” structure of data-sets. The presentation of the book is elementary and easily accessible, requiring only some knowledge of elementary linear algebra and calculus. All important concepts are illustrated with examples, and each section contains between 10 an 25 exercises. A teaching guide, depending on the level and discipline of instructions is included for classroom teaching and self-study.

Reviews

From the book reviews:

“The work under review is an elementary textbook on several contemporary topics in applied mathematics that should appeal to mathematics, science, and engineering students. It is written in a modular form that makes it suitable for a variety of courses or seminars in applied mathematics.” (Marcin M. Bownik, Mathematical Reviews, December, 2014)


Video

Table of contents (10 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-94-6239-009-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-94-6239-008-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Applied Mathematics
Book Subtitle
Data Compression, Spectral Methods, Fourier Analysis, Wavelets, and Applications
Authors
Series Title
Mathematics Textbooks for Science and Engineering
Series Volume
2
Copyright
2013
Publisher
Atlantis Press
Copyright Holder
Atlantis Press and the authors
eBook ISBN
978-94-6239-009-6
DOI
10.2991/978-94-6239-009-6
Hardcover ISBN
978-94-6239-008-9
Series ISSN
2213-0853
Edition Number
1
Number of Pages
XXII, 551
Number of Illustrations and Tables
27 b/w illustrations, 36 illustrations in colour
Topics