Introduction to Coding and Information Theory

“Introduction to Coding and Information Theory” by Steven Roman, published by Springer Science & Business Media in November 1996, is a comprehensive resource designed for undergraduate students in mathematics and computer science. This edition spans 326 pages and is presented in English. The book provides an introduction to coding theory and information theory, starting with a review of probability theory as it applies to finite sample spaces and offering a general overview of various types of codes.
Readers will find a structured exploration of key concepts in information theory, including the efficiency of codes, the entropy of information sources, and Shannon’s Noiseless Coding Theorem. The text further delves into coding theory, addressing communication channels, error decoding, and the general theory of linear codes, alongside specific examples such as Hamming codes and simplex codes. This educational resource serves as a foundational guide for those interested in the intersection of computers and information technology.
Official synopsis Publisher
This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon’s Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.
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