Mathematics for Multimedia

  • Mladen Victor Wickerhauser

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Mladen Victor Wickerhauser
    Pages 1-22
  3. Mladen Victor Wickerhauser
    Pages 23-68
  4. Mladen Victor Wickerhauser
    Pages 69-106
  5. Mladen Victor Wickerhauser
    Pages 107-132
  6. Mladen Victor Wickerhauser
    Pages 133-178
  7. Mladen Victor Wickerhauser
    Pages 179-221
  8. Mladen Victor Wickerhauser
    Pages 223-272
  9. Mladen Victor Wickerhauser
    Pages 273-295
  10. Back Matter
    Pages 297-305

About this book

Introduction

This concise textbook presents the mathematics that is foundational to multimedia applications. Featuring a rigorous survey of selected results from algebra and analysis, the work examines tools used to create application software for multimedia signal processing and communication.

Key features include:

* Over 100 exercises with complete solutions;

* Useful algorithms presented in pseudocode and Standard C to help readers with programming, experimentation, and the solution of exercises;

* Numerous illustrations based on data from real studies;

* Suggestions for further reading at the end of each chapter;

* A companion website—maintained by the author—providing computer programs described in the book as well as additional references and data files, such as images and sounds, to enhance the reader’s understanding of key topics;

* A supplementary manual—containing several hundred exercises, solutions, and sample programs not included in the book—available to instructors upon request;

* Minimal prerequisites—only an undergraduate-level knowledge of mathematics, not including statistics, is required.

Mathematics for Multimedia is an ideal textbook for upper undergraduate and beginning graduate students in pure and applied mathematics, engineering, and computer science seeking an innovative approach to contemporary mathematics with practical applications. The work may also serve as a useful reference for multimedia applications developers and other researchers and practitioners interested in the mathematics underlying multimedia software design and implementation.

Keywords

Fourier analysis algorithms error correction and detection information source coding linear optimization linear transformations multimedia sampling signal processing statistics vector spaces wavelet analysis

Authors and affiliations

  • Mladen Victor Wickerhauser
    • 1
  1. 1.Dept. MathematicsWashington University in St. LouisSt. LouisU.S.A.

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-4880-0
  • Copyright Information Birkhäuser Boston 2010
  • Publisher Name Birkhäuser Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-4879-4
  • Online ISBN 978-0-8176-4880-0
  • About this book