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Graduate Texts in Mathematics

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Graduate Texts in Mathematics

最 低 价:¥37.20

定 价:¥76.00

作 者:S.Roman/作者 ( ) S. Roman/StevenRoman

出 版 社:世界图书出版公司

出版时间:1998-03

I S B N:750623392

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37.20元
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44.10元
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60.80元

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内容简介

This book is an introduction to the subjects of information and coding theory at the graduate or advanced undergraduate level. Prerequisites include a basic knowledge of elementary probability, as well as a foundation in modern and linear algebra, both at the undergraduate level. A glance at the first section of the appendix will show the reader what is expected in the way of modern algebra. All material on finite fields is developed from scratch in the text.

作者简介

目录

Preface
Introduction
Part 1  Information Theory
Chapter 1
Entropy
1.1  Entropy of a Source
The Entropy Function H p1, ... , pn
The Units of Entropy
The Entropy of a Random Variable; Joint Entropy
1.2  Properties of Entropy
Tile Range of the Entropy Function
A Grouping Axiom for Entropy
Properties of Joint Entropy
The Convexity of the Entropy Function
Entropy as an Expected Value
1.3  Additional Propcrtles of Entropy
The Entropy of Countably Infinite Distributions
Typical Sequences
Chapter 2
Noiseless Coding
2.1  Variable Length Encoding
Strings and Codes
Average Codeword Length
Fixed and Variable Length Codes
Unique Decipherability
Instantaneous Codes; The Prefix Property
Kraft''s Theorem
McMillan''s Theorem
2.2  Huffman Encoding
An Example of Huffman Encoding
Motivation for the General Case
The General Case
Huffman''s Algorithm
2.3  The Noiseless Coding Theorem
Extensions of a Source
Chapter 3
Noisy Coding
3.1  The Discrete Memoryless Channel and C

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