TY - BOOK AU - Chui,Charles K. AU - Jiang,Qingtang ED - SpringerLink (Online service) TI - Applied Mathematics: Data Compression, Spectral Methods, Fourier Analysis, Wavelets, and Applications T2 - Mathematics Textbooks for Science and Engineering SN - 9789462390096 AV - T57-57.97 U1 - 519 23 PY - 2013/// CY - Paris PB - Atlantis Press, Imprint: Atlantis Press KW - Mathematics KW - Computer graphics KW - Applied mathematics KW - Engineering mathematics KW - Information theory KW - Statistics KW - Engineering design KW - Applications of Mathematics KW - Information and Communication, Circuits KW - Statistics, general KW - Computer Imaging, Vision, Pattern Recognition and Graphics KW - Engineering Design KW - Electronic books KW - local N1 - Linear Spaces -- Linerar Analysis -- Spectral Methods and Applications -- Frequency-Domain Methods -- Data Compression -- Fourier Series -- Fourier Time-Frequency Methods -- Wavelet Transform and Filter Banks -- Compactly Supported Wavelets -- Wavelet Analysis N2 - 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 UR - http://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.2991/978-94-6239-009-6 ER -