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An Introduction to Information Theory: Symbols, Signals and Noise (Dover Books on Mathematics), by John R. Pierce
Download Ebook An Introduction to Information Theory: Symbols, Signals and Noise (Dover Books on Mathematics), by John R. Pierce
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Product details
Series: Dover Books on Mathematics
Paperback: 336 pages
Publisher: Dover Publications; Subsequent edition (November 1980)
Language: English
ISBN-10: 0486240614
ISBN-13: 978-0486240619
Product Dimensions:
5.5 x 0.8 x 8.5 inches
Shipping Weight: 11.2 ounces (View shipping rates and policies)
Average Customer Review:
4.3 out of 5 stars
112 customer reviews
Amazon Best Sellers Rank:
#26,317 in Books (See Top 100 in Books)
While clicking on Look Inside I saw something interesting. To transmit the results of flipping a fair coin, you need to send one bit (1=heads, 0=tails). But a biased coin that is heads 75% of the time only requires 0.81 bits per flip. Intriguing, so I bought the book, and really liked it. The author explains things well, and uses examples from other areas of physics to explain difficult topics like entropy. I admit I skimmed the later chapters dealing with noise, and skipped the chapters on language and music entirely.PS: to solve the 'biased coin' issue (since the author doesn't) just search for 'coding theory biased coin' and see a concise explanation at stackexchange.
This is the missing manual that neither Claude Shannon wrote nor even Warren Weaver, who wrote the kinder, nicer, gentler introduction/annotations to Infomation Theory. A gift from the late 40's along with hoola-hoops and frisbees. And it is still finding new applications in various ancillary sciences! Much like Darwin's Natural Selection (Evolution), it kind of drips into everything, like an acid. It is a major pillar of science along with Relativity and Quantum Mecchanics coming out of the strife ridden 20th century. This book goes Weaver, in the 1949 book form of Shannon's paper where Weaver was tapped to write a mostly prose explanation. The theory is both simple and complex. A triumph that enabled the information revolution. If you want to understand this critical "theory." Read this book, or mine! Which is titled "Information Theory. Another way of knowing." and will be released on Amazon soon. But this book is a must for any budding communications engineer.
I have been working my way slowly through this book, as it reads like a typical non-fiction STEM text. Therefore, I have not completed it, yet. Even with a physics teaching background and two degrees in physics, I have to go slowly to fully grasp some of the esoterica, although it is enlightening and brings deeper understanding to many ideas in computer and internet communications to say nothing of "old fashioned" telegraphy and telephony. It is geared toward a more popular audience, but if math and physics is not of great interest to you, it may not be your cup of tea.Beyond the core sciences students of languages might be guided toward new perspectives on languages in general whether spoken, written, symbolic, encrypted (codex), DNA, etc.
I got this on a whim (Dover books are cheap) as I was starting an Information Theory Course. This does not provide a substitute on that kind of text, but it does provide more explained approach for the less technically inclined. Whereas most information theory books are so equation heavy they appear to be written in Romulan, this explains what things mean, rather than directly proving how to get there, which helps tie things together. That said, it's like a straight narrative versus an instruction manual, and makes an excellent supplement (or good general purpose reading, if that's your inclination).Decent algebra knowledge is required as background, and that's about it.
I wish every topic had a book like this one to introduce newcomers.Information theory is itself fairly interesting, but I found that the author used intriguing examples from a broad variety of disciplines to capture the reader's attention. He also has something of a self-deprecating writing style that will bring a smile to your face once or twice in each chapter.I loved the discussion of language and letter frequency, and it was even more interesting since now easily accessible tools exist (like Google's ngram) which allow you to explore some of the data and concepts first hand. I've explored various error correction/detection schemes online to gain a cursory understanding - this book did far more for me thanks to the simple and straightforward examples. I feel confident I could write my own (albeit basic) error correction code now, thanks solely to this book. I admit that the n-dimensional hypersphere-based code correction is somewhat beyond an easy implementation for me, but still, the explanation is engaging and I feel confident that I can explain the basics of geometrical error correction codes on a high level, which will be useful to me in my course of work.Anyhow, this kind of book, with enough depth to be challenging for someone with a basic science background yet still casual enough to read a bit here and there without getting lost, is a rare find. Well worth the very reasonable price. I wager that even someone with little interest in science or math could find some very interesting gems here. Have a deamy day.
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