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 Karl Petersen - AMS
The aim is to review the many facets of information, coding, and cryptography, including their uses throughout history and their mathematical underpinnings. Prerequisites included high-school mathematics and willingness to deal with unfamiliar ideas.
by Martin Tomlinson, et al. - Springer
This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies.
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 Alexander Shen - arXiv.org
Algorithmic information theory studies description complexity and randomness. This text covers the basic notions of algorithmic information theory: Kolmogorov complexity, Solomonoff universal a priori probability, effective Hausdorff dimension, etc.