Theory of Information and Coding - Tapa blanda

Encyclopedia of Mathematics and Its Applications 3 The Theory of Information and Coding

Hard Cover. Condición: Fine. BOOK: Corners Bumped; Light Shelf Rub to Boards; Edges Lightly Soiled. SERIES: 3rd in series; Editor: Gina-Carlo Rota. SUB-TITLE: A Mathematical Framework for Communication. BOOK NUMBER: 13502. FOREWORD BY: Mark Kac, The Rockefeller University. CONTENTS: Editor's Statement; Section Editor's Foreword; Preface; Introduction; PART I. INFORMATION THEORY; Chapter 1. Entropy and Mutual Information; Chapter 2. Discrete Memoryless Channels and Their Capacity-Cost Functions; Chapter 3. Discrete Memoryless Sources and Their Rate-Distortion Functions; Chapter 4. The Gaussian Channel and Source; Chapter 5. The Source-Channel Coding Theorem; Chapter 6. Survey of Advanced Topics for Part I; PART II. CODING THEORY; Chapter 7. Linear Codes; Chapter 8. BCH, Goppa, and Related Codes; Chapter 9. Convolutional Codes; Chapter 10. Variable-Length Source Coding; Chapter 11. Survey of Advanced Topics for Part II; Appendices; References; Index of Theorems; Index. AMERICAN MATHEMATICAL SOCIETY (MOS) SUBJECT CLASSIFICATION SCHEME (1970): 94A05, 94A10, 94A15. SYNOPSIS: The Theory of Information and Coding is the third volume in the Encyclopedia of Mathematics and Its Applications. This volume is a self-contained introduction to all basic results in the branch of mathematics (invented in 1948 by Claude Shannon) called the theory of information and coding. This theory was developed to deal with the fundamental problem of communication, that of reproducing at one point, either exactly or approximately, a message selected at another point. The exposition will be comprehensible to any working scientist with average background in mathematics and easily comprehensible to readers with some prior knowledge of probability and linear algebra. The book is in three parts: Introduction, Part I (Information theory), and Part II (Coding Theory). The introduction is a short and elementary overview which introduces the reader to the concept of coding, the central idea of the subject. Part I is devoted to Shannon's main results, the channel and source coding theorems. Part II is devoted to a study of specific coding schemes which can be used for channel and source coding. This volume can be used either for self-study, or as the basis for a university course at either the graduate or undergraduate level. The text includes dozens of worked examples and several hundred problems for solution. Robert J. McEliece received the B.S. degree in Mathematics from the California Institute of Technology, Pasadena, then spent a year of study at the University of Cambridge, England, before returning to the United States to earn the Ph.D. degree in Mathematics from Caltech. Dr. McEliece has served as Consultant for the Communication Research Division of the Institute for Defense Analyses and as Visiting Lecturer in Electrical Engineering at the California Institute of Technology. He is a member of the American Mathematical Society, the Association for Computing Machinery, and the Institute of Electronic and Electrical Engineers. Dr. McEliece has written numerous technical articles, and has contributed to the design of several NASA communication systems, including those on the Mariner, Viking, and Voyager spacecraft. He is currently employed by Caltech's Jet Propulsion Laboratory, Pasadena, California, where he is Supervisor of the Information Processing Group in the Communications Systems Research Section. Size: 8vo - over 7¾" - 9¾" tall. Nº de ref. del artículo: 003009

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