Information Theory

Praise for the Second Edition. Claude Shannon introduced Information Theory, and used it to establish the fundamental limits on communication. However, textbooks on information theory can seem impenetrable to those outside the discipline. Stone's tutorial treatment provides a much needed introduction, which explains relevant details while maintaining the integrity of the topic. This book should be useful to students and researchers in related scientific fields, including machine learning and biological signal analysis. Jerry Gibson, Distinguished Professor, University of California, USA. Praise for the First Edition. Information lies at the heart of biology, societies depend on it, and our ability to process information ever more efficiently is transforming our lives. By introducing the theory that enabled our information revolution, this book describes what information is, how it can be communicated efficiently, and why it underpins our understanding of biology, brains, and physical reality. Its tutorial approach develops a deep intuitive understanding using the minimum number of elementary equations. Thus, this superb introduction not only enables scientists of all persuasions to appreciate the relevance of information theory, it also equips them to start using it. The same goes for students. I have used a handout to teach elementary information theory to biologists and neuroscientists for many years. I will throw away my handout and use this book. Simon Laughlin, Professor of Neurobiology, Fellow of the Royal Society, Department of Zoology, University of Cambridge, UK This is a really great book - it describes a simple and beautiful idea in a way that is accessible for novices and experts alike. This 'simple idea' is that information is a formal quantity that underlies nearly everything we do. In this book, Stone leads us through Shannon's fundamental insights; starting with the basics of probability and ending with a range of applications including thermodynamics, telecommunications, computational neuroscience and evolution. There are some lovely anecdotes: I particularly liked the account of how Samuel Morse (inventor of the Morse code) pre-empted modern notions of efficient coding by counting how many copies of each letter were held in stock in a printer's workshop. The treatment of natural selection as 'a means by which information about the environment is incorporated into DNA' is both compelling and entertaining. The substance of this book is a clear exposition of information theory, written in an intuitive fashion (true to Stone's observation that 'rigour follows insight'). Indeed, I wish that this text had been available when I was learning about information theory. Stone has managed to distil all of the key ideas in information theory into a coherent story. Every idea and equation that underpins recent advances in technology and the life sciences can be found in this informative little book. Professor Karl Friston, Fellow of the Royal Society and Scientific Director of the Wellcome Trust Centre for Neuroimaging, Institute of Neurology, University College London