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Description
Information TheoryDeveloped by Claude Shannon and Norbert Wiener in the late 1940s, information theory, or statistical communication theory, deals with the theoretical underpinnings of a wide range of communication devices: radio, television, radar, computers, telegraphy, and more. This book is an excellent introduction to the mathematics underlying the theory. Designed for upper level undergraduates and first year graduate students, the book treats three major areas:
Developed by Claude Shannon and Norbert Wiener in the late 1940s, information theory, or statistical communication theory, deals with the theoretical underpinnings of a wide range of communication devices: radio, television, radar, computers, telegraphy, and more. This book is an excellent introduction to the mathematics underlying the theory.Designed for upper-level undergraduates and first-year graduate students, the book treats three major areas: analysis of channel models and proof of coding theorems (chapters 3, 7, and 8); study of specific coding systems (chapters 2, 4, and 5); and study of statistical properties of information sources (chapter 6). Among the topics covered are noiseless coding, the discrete memoryless channel, effort correcting codes, information sources, channels with memory, and continuous channels.
The author has tried to keep the prerequisites to a minimum. However, students should have a knowledge of basic probability theory. Some measure and Hilbert space theory is helpful as well for the last two sections of chapter 8, which treat time-continuous channels. An appendix summarizes the Hilbert space background and the results from the theory of stochastic processes necessary for these sections. The appendix is not self-contained but will serve to pinpoint some of the specific equipment needed for the analysis of time-continuous channels.
In addition to historic notes at the end of each chapter indicating the origin of some of the results, the author has also included 60 problems with detailed solutions, making the book especially valuable for independent study.
Binding Type: Paperback
Publisher: Dover Publications
Published: 11/01/1990
ISBN: 9780486665214
Pages: 368
Weight: 0.81lbs
Size: 8.42h x 5.35w x 0.66d
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4.5 ★★★★★
Based on 1839 reviews
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Product Reviews
★★★★★ 5
Durable and fun
Size: Medium, Style: Ultra Tug, Size: Medium, Style: Ultra Tug
This is a cool toy. My dog took to it right away. It tosses great. I like that you can play a little tugging along with fetch. We mainly use it outdoors. It feels very strong and durable. For size reference my dog is a mini golden doodle and weighs about 30lbs.
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Reviewed in the United States on February 22, 2026
★★★★★ 5
Durable
Size: Small, Style: Ultra Duo Tug
Well, our dogs didn't end up playing tug with each other, but they love the toy anyway and it still looks pretty good after a month. That doesn't sound like much, but they both love to chew and destroy rubber and they're ridiculously good at it. They also really like chewing the strap between the two balls, which is still in surprisingly good condition. Most "indestructible" toys are toast within the hour. Well worth the money. Plus, the unpredictable bounce when thrown keeps the dogs busy.
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Reviewed in the United States on May 23, 2026
★★★★★ 4
Good quality ball for large dog, easy to clean
Size: Large, Style: Ultra Tug
It’s challenging to review this because I bought it for my son’s dog, and it doesn’t interest him at all, even though he likes and plays with regular balls. The ball appears to be good quality, which is typical for this brand. He likes to play tug of war, so I thought the combination with a ball would be a hit. The strap looks durable, so time will tell if he develops an interest in playing with this at some point. The ball is hard rubber and fairly heavy, so it should hold up to an aggressive chewer. It doesn’t squeak or make any other noise. It bounces unpredictably and erratically because of the attached strap. Both the strap and ball are easy to clean with soap and water.
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Reviewed in the United States on December 30, 2025
★★★★★ 5
A must have if "ball is life"
Size: Large, Style: Ultra Tug, Size: Large, Style: Ultra Tug
If ball is life for your pup this is a great option! Our 70lb mutt is obsessed. We got her the large size for reference. She is not a chewer so we have zero issues with the attached leash/rope part. The ball is the same hard rubber of a typical Chuck-it ball. The rope makes tossing and grabbing the ball from your dog so much easier and cleaner. I also love this helps avoid any choking hazard with typical balls having the rope.
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Reviewed in the United States on April 21, 2026
★★★★★ 5
Best and most durable toy for our German shepherd
Size: Medium, Style: Ultra Tug, Size: Medium, Style: Ultra Tug
We have a German shepherd. This is our 2nd purchase. The first one was her first and favorite toy.
We still have the first one. But the strap broke (after a year) bc we didn't realize she hid it under blanket, and she chewed it in half. But after a year of hard play, the strap was worn out. She still plays with her ball, and often carries it with her on her walks.
It throws well and I love not having to pick up a slobbery ball. The ball is soft, durable, safe, and easy to play with.
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Reviewed in the United States on August 22, 2025
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