Articoli correlati a Mathematics for Multimedia
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Mathematics for Multimedia explains the mathematics behind multimedia applications such as compression, signal processing, and image/video processing. This timely and thoroughly modern text is a rigorous survey of selected results from algebra and analysis, requiring only undergraduate math skills. More specifically, it focuses on when and why modern robust methods provide more accurate results. The topics are 'gems' chosen for their usefulness in understanding and creating application software for multimedia signal processing and communication.
The course Mathematics for Multimedia has been offered biennially at Washington University since 1997. It has proved popular with students from sophomores to beginning graduate students who seek an innovative course of rigorous contemporary mathematics with practical applications. For the instructor, the material is divided into six chapters that may be presented in six lecture hours each. Thus, the entire text may be covered in one semester, with time left for examinations and student projects. For the student, there are more than 100 exercises with complete solutions, and numerous example programs in Standard C. Each chapter ends with suggestions for further reading. The book also describes and illustrates easy-to-use software for applying cutting-edge techniques.
This book is aimed at a wide audience, including computer science and multimedia students and professors as well as those interested in employing mathematics in multimedia design and implementation.
- Explains when and why modern robust methods provide more accurate results
- Does not assume or require previous training in statistics
- Includes many illustrations using data from actual studies
- Describes and illustrates easy-to-use software for applying cutting-edge techniques
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Review
From the reviews:
“The book under review is aimed at providing a comprehensive understanding to undergraduate students who have got beyond Calculus. ... Students in mathematics, computer science and engineering will benefit from the material and mathematical concepts presented in this book.” (Carnelia Bejan, IASI Polytechnic Magazine, Vol. 22 (1/4), March-December, 2010)
“This concise textbook on applied Fourier analysis presents the mathematics that is fundamental to applications in digital signal processing. The main emphasis of the author is on practical implementation of algorithms in multimedia applications. Key algorithms are presented in pseudocode and Standard C. ... This well-written textbook on applied Fourier analysis is very convenient for students in applied mathematics and computer science. This book can also serve as useful reference for researchers interested in the mathematics underlying multimedia software design and implementation.” (Manfred Tasche, Zentralblatt MATH, Vol. 1183, 2010)
"Aside from introductory material in the first two chapters, chapters are independent, which means that the instructor can tailor the material as needed. The text contains a number of fascinating and beautiful results; having never studied Fourier series or coding theory before, I found myself smiling in admiration at a few of them, and made notes about a couple. The text is clear and develops carefully. Exercises range from easy to challenging, and complete (!) solutions appear in an appendix."
―MAA Reviews
From the Back Cover
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.
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