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Information Theory: A Tutorial Introduction, by James V Stone
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Originally developed by Claude Shannon in the 1940s, information theory laid the foundations for the digital revolution, and is now an essential tool in telecommunications, genetics, linguistics, brain sciences, and deep space communication. In this richly illustrated book, accessible examples are used to introduce information theory in terms of everyday games like ‘20 questions’ before more advanced topics are explored. Online MatLab and Python computer programs provide hands-on experience of information theory in action, and PowerPoint slides give support for teaching. Written in an informal style, with a comprehensive glossary and tutorial appendices, this text is an ideal primer for novices who wish to learn the essential principles and applications of information theory.
- Sales Rank: #48472 in Books
- Published on: 2015-02-01
- Original language: English
- Number of items: 1
- Dimensions: 9.00" h x .59" w x 6.00" l, .78 pounds
- Binding: Paperback
- 260 pages
Review
"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.
Scientific Director of the Wellcome Trust Centre for Neuroimaging, Institute of Neurology, University College London.
"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, England.
About the Author
James V. Stone is a Reader in the Psychology Department of the University of Sheffield. He is coauthor (with John P. Frisby) of the widely used text "Seeing: The Computational Approach to Biological Vision" (second edition, MIT Press, 2010), and author of "Independent Component Analysis: A Tutorial Introduction "(MIT Press, 2004).
Most helpful customer reviews
21 of 22 people found the following review helpful.
The most clear explanation - applicable to all - of any mathematical topic to date
By Daniel
Whether you are just beginning your relationship with mathematics or you are a theoretical mathematician working on the applications of knot theory to 4D topology, you have something to gain from this book.
Mathematics is hard. The language in which mathematicians describe their work only compounds the difficulty of learning math for few are fluent in this succinct language. Unfortunately, it is this language almost all introductory mathematical textbooks inevitably conform to, at the cost of the reader's comprehension. Dr. Stone, overcomes this language rift by explaining the math in a friendly, familiar way. He further takes the care to ensure appropriate time is spent clarifying each topic in a variety of ways (in case one does not make much sense). Stone also provides appendices as reference for the reader who may need more explanation or refreshers. This kind of guidance through mathematical theory is inherently absent in the mathematical language as its core is precision, brevity, and removal of all redundancy.
It is his very thoughtful explanation and walkthrough which makes me confidence to say that Dr. James V Stone's introduction to information theory is conceivably the best book I have read; not just in regards to information theory but in regards to mathematics (applied or otherwise) as a whole.
The reader is guided through Shannon's seminal work in a way that is applicable regardless of the reader's background (mathematics, art, biology, journalism, etc). Dr. Stone helps the reader develop an intuition for information theory.
The feeling of such a clear and expounded grasp on a mathematical field is so rare currently that this feeling is most difficult to describe other than you'll "just get it." If you have had minimal exposure to math, are helplessly confused by proofs, feel like you just never understand, this book is for you. This book is equally applicable to those versed in mathematics, as it provides an understanding that is often disjoint from a theoretical approach.
Consider how many people utilize "basic" mathematics to help them approach and solve questions in their daily life intuitive like e.g. if I make $x per month, how much do I earn per week? Of my weekly earnings, if I set aside y for groceries and z for savings, how much do I have left to spend?
The commonplaceness of applying math in this way, by understanding the concepts behind the math, rather than just plugging into a formula is exactly what you can expect to gain from reading Dr. Stone's book. By the end of even the first section of the first chapter, the reader may find that they are already grasping this intuitive understanding, and applying it to the world around them. Dr. Stone helps the reader integrate the core concepts of information theory so that the math behind it becomes a tool for the reader to use, rather than to be perplexed by.
The book is a joy to read, and a privilege to learn from.
For those who have read the review this far, I study mathematics and neuroscience. As such, I have read my fair share of mathematical textbooks, mathematical introductions, and mathematical books for "dummies" (as I often feel myself). In my experience math never stops being complex, and try as many might to simply it, none have succeeded as well as Dr. Stone. I was versed in information theory before reading this book. The intuition and deep understanding / appreciation for this field that I have gained from the book is unheard-of. It is intuition that makes a great mathematician, and this book will teach you to think intuitively. The clarity of Dr. Stone's work is so profound I have little other way to describe how accessible it is to all walks of life.
While many may not consider this a "mathematical textbook," let Dr. Stone's style be an example for how math should initially be taught. This book works well as a standalone text, and as a supplement to more intricate texts in regard to information theory. Do not let the title introduction fool you, Dr. Stone manages to maintain the intricacies of the field in a way often overlooked.
9 of 9 people found the following review helpful.
Very good first book to read on information theory.
By Julio Cesar Campos Neto
Since ive read James Stones Bayes's Rule: A tutorial introduction Ive been waiting this book with great expectation and the author didn't let me down.
Its a natural step after reading Pierce's Book on information theory or as a Information theory first book before digging deep on other books as Cover etc. The first 4 chapters deal with the discrete version of information theory and its main concept, entropy. It gives several examples and clear explanations without avoiding the math/formulas. After that it goes on the continuous case and does a good job too.
Even tough the author does offer a good revision material on probability(CDF, PDF, etc) as appendix, if you have never seen these terms before, I would advise to take a probability class to take full advantage of the book.
2 of 2 people found the following review helpful.
This is one of the best books on information theory that I've ever seen
By Jyothi Iyer
This is one of the best books on information theory that I've ever seen. Being an amateur researcher in quantum information theory, I feel that this book will certainly help any student embarking on this area to have a solid understanding on the basics of information theory. It was a real pleasure in working through the book from one end to the other.
I hope the author adds a detailed chapter on Fisher information in the next edition of the book.
Congratulations and many thanks to Prof. Stone for writing such a wonderful book on information theory.
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