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Title: Information Theory by Robert Ash ISBN: 0-486-66521-6 Publisher: Dover Pubns Pub. Date: 01 November, 1990 Format: Paperback Volumes: 1 List Price(USD): $15.95 |
Average Customer Rating: 4.67 (6 reviews)
Rating: 5
Summary: I( X | Y ) = H( X ) - H( X | Y )
Comment: This 1990 Dover publication of the original 1965 edition serves as a great introduction to "the statistical communication theory", otherwise known as Information Theory, a subject which concerns the theoretical underpinnings of a broad class of communication devices. The exposition here is based on the Shannon's (not Wiener's) formulation or model of the theory, having been initiated in his breakthrough 1948 paper. I purchased this book more than a couple of years ago as a beginning math grad student mainly interested to (quickly and affordably) learn some basics about the subject, without necessarily intending to specialize in it. The text in my opinion should also be accessible to any engineering student with a one or two semester background in real analysis, and a working knowledge of the theory of probability (also summarized at the beginning of the book). Topics discussed include: noiseless coding, discrete memoryless channels, error correcting codes, information sources, channels with memory, and continuous channels. There are some very illuminating historical notes + remarks, and also problem sets at the end of each chapter, with solutions included at the back of the book, making an ideal setting for self-study. Aside from being a great resource for learning the basics however, one sole setback of the book is that all the results and theorems presented therein date from the 50's and early 60's, so one will have to look elsewhere to find out about some of the more recent developments in the field.
Rating: 5
Summary: A classic.
Comment: The book by Shannon and Weaver (1949) is the classic; Shannon almost *is* information theory. There is more to it: The present lovely little book appeared first in 1965, but is still very relevant. I think it is a good next book to read. At least the mathematical part of the subject stays more constant over the years, as do the fundamental principles;-- that is what Ash's book is about. I especially liked ch 4 on error correcting codes, and the mathematical appendix which is centered around the Karhunen-Loeve theorem;-- the latter having found recent exciting applications in wavelet theory.
Rating: 3
Summary: Rigourous. Not for Beginners.
Comment: This book is highly similar to the Reza book, also published by Dover publications. The Ash book kind of continues where the Reza book leaves off. In truth, this book is very, very rigorous... not so much in terms of proofs (see the small Khinchin book for great proofs), but in terms of it involves mathematics and concepts which require a higher level of knowledge. Undergraduate students would have alot of trouble trying to understand both math and general concepts.
Even graduate students would find this book daunting, because after all, it probably is one of the best books written on information theory.
If your a beginner seeking a good book, this is not it at all.
Aside from being too rigorous, it covers many topics which are of completely no use to a beginner or even somebody with a fair amount of information theory knowledge. Also, the book is not very motivating from a practical aspect. That is, much like the Reza and Kitchkin book, it's written more from a dry mathematical perspective and not an "engineers" perspective.
It doesn't examine information theory from the perspective of electrical engineering and communications theory... which might make it hard for some people to relate to if they can't be told what the practical applications are (see Pierce's books and Cover and Thomas for very good "practical" books).
For beginners, I recommend the Pierce book, subtitled "Symbols, Signals and Noise" which is bar-none the best beginners book ever written (or some of Pierce's other books). Pierce is one of the finest authors of his era and he published several books on information theory; most of which are more "engineer friendly" and are more relavent to the study of electronic communications.
Summary, this book is NOT for beginners. It will be almost completely useless unless you have a decent degree of information theory knowledge to begin with. Sadly, this was the first book I ever purchased on that topic.. and boy was that a mistake!! I spent 2 years trying to figure heads or tails of half the chapters.. Then I went ahead and got some more appropriate books (Pierce, Reza, Cover and Thomas) and when I had sufficient knowledge... only then did this book make any sense.
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Title: An Introduction to Information Theory by J. R. Pierce ISBN: 0486240614 Publisher: Dover Pubns Pub. Date: 01 November, 1980 List Price(USD): $12.95 |
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Title: Mathematical Theory of Communication by Claude E. Shannon, Warren Weaver ISBN: 0252725484 Publisher: Univ of Illinois Pr (Pro Ref) Pub. Date: December, 1963 List Price(USD): $15.95 |
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Title: Mathematical Foundations of Information Theory by A. Ya. Khinchin ISBN: 0486604349 Publisher: Dover Pubns Pub. Date: 01 June, 1957 List Price(USD): $8.95 |
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Title: An Introduction to Information Theory by Fazlollah M. Reza ISBN: 0486682102 Publisher: Dover Pubns Pub. Date: 16 September, 1994 List Price(USD): $18.95 |
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Title: Information Theory and Statistics by Solomon Kullback ISBN: 0486696847 Publisher: Dover Pubns Pub. Date: 07 July, 1997 List Price(USD): $16.95 |
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