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 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.
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 David J. C. MacKay - Cambridge University Press
A textbook on information theory, Bayesian inference and learning algorithms, useful for undergraduates and postgraduates students, and as a reference for researchers. Essential reading for students of electrical engineering and computer science.
by Mark M. Wilde - arXiv
The aim of this book is to develop 'from the ground up' many of the major developments in quantum Shannon theory. We study quantum mechanics for quantum information theory, we give important unit protocols of teleportation, super-dense coding, etc.