**Translations of Mathematical Monographs**

2002;
286 pp;
Softcover

MSC: Primary 00; 94; 68; 62;
**Print ISBN: 978-0-8218-4256-0
Product Code: MMONO/203.S**

List Price: $104.00

Individual Member Price: $83.20

# Mathematics of Information and Coding

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*Te Sun Han; Kingo Kobayashi*

*Translated by: Joe Suzuki*

This book is intended to provide engineering and/or statistics
students, communications engineers, and mathematicians with the firm theoretic
basis of
*source coding* (or *data compression*) in information theory.
Although information theory consists of two main areas, source coding and
channel coding, the authors choose here to focus only on source coding. The
reason is that, in a sense, it is more basic than channel coding, and also
because of recent achievements in source coding and compression. An important
feature of the book is that whenever possible, the authors describe
*universal* coding methods, i.e., the methods that can be used without
prior knowledge of the statistical properties of the data. The authors approach
the subject of source coding from the very basics to the top frontiers in an
intuitively transparent, but mathematically sound, manner.

The book serves as a theoretical reference for communication professionals and statisticians specializing in information theory. It will also serve as an excellent introductory text for advanced-level and graduate students taking elementary or advanced courses in telecommunications, electrical engineering, statistics, mathematics, and computer science.

#### Table of Contents

# Table of Contents

## Mathematics of Information and Coding

#### Readership

Graduate students and research mathematicians interested in information theory.

#### Reviews

This is a comprehensive, thoroughly written book devoted to one of the most important applied topics in discrete mathematics. … aims to provide engineering, computer science and mathematics students with a firm comprehensive theoretical knowledge of this topic. Thus the book summarizes as compactly as possible a modern typical trend of universal source coding as well as its applications to statistical data analysis in general. This reveals a new intrinsic linkage between information theory and statistics, … This is a really valuable comprehensive book that can be recommended for upper level specialized courses, as a supplementary textbook for advanced students, and as a reference source on the main research results concerning data compression.

-- Mathematical Reviews

This volume is a very nice introduction to information theory and to source coding … There are plenty of exercises … this book can be strongly recommended for teaching and learning information theory.

-- Zentralblatt MATH