A Mathematical Theory of Communication
by Claude Shannon
Number of pages: 79
The person who wrote this paper is the father of modern communication theory, Claude Shannon. In this seminal work Shannon presents results that were previously found nowhere else, and today many professors refer to it as the best exposition still on the subject of the mathematical limits on communication (such as bandwidth). Further, it laid the modern foundations for what is now coined Information Theory. Classic work.
Download or read it online for free here:
by Matt Mahoney - mattmahoney.net
This book is for the reader who wants to understand how data compression works, or who wants to write data compression software. Prior programming ability and some math skills will be needed. This book is intended to be self contained.
by Inder Jeet Taneja - Universidade Federal de Santa Catarina
Contents: Shannon's Entropy; Information and Divergence Measures; Entropy-Type Measures; Generalized Information and Divergence Measures; M-Dimensional Divergence Measures and Their Generalizations; Unified (r,s)-Multivariate Entropies; etc.
by Gregory J. Chaitin - Springer
The final version of a course on algorithmic information theory and the epistemology of mathematics. The book discusses the nature of mathematics in the light of information theory, and sustains the thesis that mathematics is quasi-empirical.
by Gregory J. Chaitin - World Scientific
In this mathematical autobiography, Gregory Chaitin presents a technical survey of his work and a non-technical discussion of its significance. The technical survey contains many new results, including a detailed discussion of LISP program size.