A First Course in Information Theory (Hardcover)

Raymond W. Yeung

  • 出版商: Harcourt
  • 出版日期: 2002-04-30
  • 售價: $1,050
  • 貴賓價: 9.8$1,029
  • 語言: 英文
  • 頁數: 412
  • 裝訂: Hardcover
  • ISBN: 0306467917
  • ISBN-13: 9780306467912
  • 相關分類: 資訊科學
  • 下單後立即進貨 (約5~7天)

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商品描述

Incepted half a century ago, information theory is a classical yet modern field which is more vibrant than ever before. In particular, there have been a number of major research results on the foundation of the theory during the last ten years. These results enable information theory to be understood and explored in a way which has not been possible before, and they open new dimensions in the theory. In short, the depth of information theory is far beyond what we used to know.

This book is an integration of the most fundamental topics in information theory plus a few selected advanced topics. All concepts and technicalities are explained with clarity. Except for a few classical results, all the results included here are not found elsewhere in book form. These include the theory of I-Measure, Shannon-type and non-Shannon-type information inequalities, and network coding theory. Some important implications of information theory in probability theory and group theory are also explained in this book.

ITIP, the software package that comes with the book, is the only software package of its kind which can prove all Shannon-type information inequalities. It is an essential tool for all information theorists.

This book is suitable for use as a textbook, or as a reference book with any other textbook in a course on information theory. It is also an essential reference for researchers working in areas related to this subject matter.

`No one since Shannon has had a better appreciation for the mathematical structure of information quantities than Prof. Yeung. ... Yeung unveils a smørgasbord of topics in modern information theory that heretofore have been available only in research papers.'

Toby Berger, Cornell University

Contents

1. The Science of Information. 2. Information Measures. 3. Zero-Error Data Compression. 4. Weak Typicality. 5. Strong Typicality. 6. The I-Measure. 7. Markov Structures. 8. Channel Capacity. 9. Rate Distortion Theory. 10. The Blahut-Arimoto Algorithms. 11. Single-Source Network Coding. 12. Information Inequalities. 13. Shannon-Type Inequalities. Appendix 13A: The Basic Inequalities and the Polymatroidal Axioms. 14. Beyond Shannon-Type Inequalities. 15. Multi-Source Network Coding. Appendix 15A: Approximation of Random Variables with Infinite Alphabets. 16. Entropy and Groups. Bibliography. Index.

商品描述(中文翻譯)

半個世紀前,資訊理論誕生了,這是一個古典但現代的領域,比以往更加充滿活力。特別是在過去十年間,該理論的基礎研究取得了一些重要的成果。這些成果使得資訊理論能夠以前所未有的方式被理解和探索,並開拓了理論的新維度。簡而言之,資訊理論的深度遠超過我們過去所知。

本書是資訊理論中最基本的主題與一些選擇的高級主題的整合。所有概念和技術都以清晰的方式解釋。除了一些古典結果外,這裡包含的所有結果在其他書籍中都找不到。這些包括I-Measure理論、Shannon型和非Shannon型資訊不等式以及網絡編碼理論。本書還解釋了資訊理論在概率論和群論中的一些重要影響。

本書附帶的ITIP軟體套件是唯一一個能證明所有Shannon型資訊不等式的軟體套件。對於所有資訊理論學者來說,它是一個必不可少的工具。

本書適合作為教科書使用,或者作為信息理論課程中任何其他教科書的參考書。對於從事與這個主題相關的研究的研究人員來說,它也是一本必備的參考書。

「沒有人像Shannon以來,對於信息量的數學結構有比楊教授更好的理解...楊教授揭示了現代資訊理論中一系列以前只在研究論文中才能找到的主題。」
- Toby Berger, 康奈爾大學

目錄:
1. 資訊科學
2. 資訊量度
3. 零錯誤資料壓縮
4. 弱典型性
5. 強典型性
6. I-Measure
7. 馬可夫結構
8. 通道容量
9. 率失真理論
10. Blahut-Arimoto演算法
11. 單源網絡編碼
12. 資訊不等式
13. Shannon型不等式
附錄13A: 基本不等式和多項式擴展公理
14. 超越Shannon型不等式
15. 多源網絡編碼
附錄15A: 用於無窮字母表的隨機變數近似
16. 熵與群
參考文獻
索引