Free Ebook Error Correcting Codes: A Mathematical Introduction (Chapman Hall/CRC Mathematics Series)
Free Ebook Error Correcting Codes: A Mathematical Introduction (Chapman Hall/CRC Mathematics Series)
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Error Correcting Codes: A Mathematical Introduction (Chapman Hall/CRC Mathematics Series)
Free Ebook Error Correcting Codes: A Mathematical Introduction (Chapman Hall/CRC Mathematics Series)
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Review
Â…clearly presented and logically constructedÂ…provides lucid coverage Â…-Mathematical Reviews, Issue 99h
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Product details
Series: Chapman Hall/CRC Mathematics Series (Book 15)
Paperback: 236 pages
Publisher: Chapman and Hall/Crc; 1 edition (December 6, 1997)
Language: English
ISBN-10: 0412786907
ISBN-13: 978-0412786907
Product Dimensions:
6.1 x 0.5 x 9.2 inches
Shipping Weight: 11.2 ounces (View shipping rates and policies)
Average Customer Review:
3.3 out of 5 stars
5 customer reviews
Amazon Best Sellers Rank:
#3,456,196 in Books (See Top 100 in Books)
Before borrowing this book from the school library, I was completely lost in the coding class. I can understand the equations in some other book but I can't understand why they are so. I lacked the physical meaning behind these equations and I lacked the bigger picture as well. I borrowed this book from the library hoping to fix my problems before the upcoming the mid-term, and indeed the book proved the most helpful. Don't be fooled by the small size of the book or the "a mathematical introduction" in the title. This books addresses intuition before delving into the math. The solutions of the exercises are also available in the book making this book a great tool for self-learning. Anyhow, I returned the book to the library and ordered it from Amazon. To make a long story short, HAVE THIS BOOK in your personal library.
This is a good, well-structured book for a first course in error-correcting codes, for an undergraduate who has had linear algebra and either has had a little bit of number theory / basic discrete math, or is comfortable picking the basics up on the fly. The book does include chapters to brush up on those preliminary topics. The most substantial chapters are the three chapters that finish the book, on Hamming codes, Cyclic Codes, and Reed-Muller codes. This is a small book, and only scratches the surface, but it makes a good starting point. If you want to go deeper, turn to a more substantial reference like MacWilliams/Sloane. There are a lot of exercises for every chapter and relevant exercises are noted at the appropriate points in the body of the text. There are solutions for almost every exercise in the back (which is nice for anyone who is studying it independently, but is something to keep in mind if you're an instructor considering adopting it as a textbook).Watch out for errors, though. There are typos in formulas, oversights in some of the proofs (including solutions given in the back), and other little surprises to keep you on your toes. Instructors as well as self-guided students should be alert for places where something doesn't seem quite right.
Baylis has scored big with this book. His forward states that he wanted to produce a book for non-mathematicians, and he succeeded in every respect. I was interested principally in forward error correction - block coding - and the topic is very well presented. (There is more material, of course, but I focused only on the area I needed to understand.) In addition to examples, there are exercises at the end of every chapter, with answers listed in the back.I don't read math books unless there is no other way - I usually turn to a PhD friend who whips through this stuff like it was comic books, and is REALLY good at explaining things. I had a couple questions because I was lazy (or dense) but there were very few places where I didn't understand Baylis. I recommend this for anyone getting involved in wireless commmunications or wired high-speed data transport.
I was looking for a good mathematical support for coding theory. But this book, as an introduction doesn't apply to codes big results from algebra. I understand that this book was write for people that did not have the background on math. If you are looking for an introduction and you don't have math background, you will love it!
I've only read the first few chapters, but enjoy the approach: it is a readable (but mathematical) introduction to error-correcting codes.I think it is bridge between formal, theoretical mathematics and a how-to, computer book. (This is not a computer book.)The author used the book as an undergraduate textbook.From the Preface: "For students who have been trained in traditional pure mathematics...This book is not for them. It is more for that much larger population of students who find themselves in an educational system driven by an 'application' philosophy....which regards pure mathematics foundations as an expensive luxery, in spite of all accumulated experience that such a system is short-sighted and self-defeating."The author motivates the subject well. If you send a computer message, how do you know the bits received at the other end are what you sent? How does the receipent know he/she rec'd the correct message? He works through simple ideas and possible ways to improve accuracy.This is an introduction to some of the mathematics behind this. It includes an introductin to basic number theory, linear algebra. It is readable, but importatn results are stated as Theorems and proven. He assumes little formal mathematics preparation, but some college math will probably help.If you want a practical, computer guide to error correcting codes, this is probably not the right book for you.But if you want to go a little deeper and see the mathematics and mathematical ideas at work, this could be a thoroughly enjoyable book for you.
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