Introduction to Data Compression, Second Edition (The Morgan Kaufmann Series in Multimedia and Information Systems)

Amazon.com

Khalid Sayood's textbook-style Introduction to Data Compression is the definitive guide to all kinds of compression schemes. Early chapters establish the mathematics involved in basic compression techniques, including lossless and lossy compression as well as the fundamentals of information theory that lay the groundwork for common forms of compression. (The book contains all the relevant formulas, although those who don't need such mathematical detail will still be able to understand the book.)

A good portion of the book examines various compression schemes, their strengths and weaknesses, and what content they work best for. Introduction to Data Compression begins with lossless compression schemes, which lose no information during the compression/decompression process. Huffman Coding, a well-established compression scheme, and arithmetic and dictionary coding also receive excellent treatment. In addition, the author takes on lossless compression for images.

For lossy compression, Sayood discusses schemes that use quantization, where a range of values is compressed in some way. He also describes scalar, vector, and differential encoding and fractal compression. A final chapter looks at video encryption (which often combines techniques from earlier chapters). Many of the compression schemes include examples from image and sound files, but the book considers a wide variety of video schemes too. This rich and confidently written text collates a lot of research and can serve as both textbook and source for designers who need a readable and mathematically solid introduction to data compression.

Book Description

The second edition of Introduction to Data Compression builds on the features that made the first the logical choice-for practitioners who need a comprehensive guide to compression for all types of multimedia and instructors who want to equip their students with solid foundations in these increasingly important and diverse techniques.
This book provides an extensive introduction to the theory underlying today's compression techniques, with detailed, instruction for their application. All of the coverage has been updated to reflect the state of the art in data compression, including both new algorithms and older methods for which new uses are being found. And the downloadable software gives you the opportunity to see firsthand how various algorithms work, to choose and implement appropriate techniques in your own applications, and to build your own algorithms.

* Fully updated to cover the most recent lossy and lossless compression techniques, including wavelets, subband coding, predictive lossless techniques, and Huffman coding variants.
* Explains established and emerging standards in depth: JPEG 2000, JPEG-LS, MPEG 2, Group 3 and 4 Faxes, JBIG 2, ADPCM, LPC, CELP, and MELP.
* Includes an new chapter providing the mathematical background required for understanding wavelets and subband coding.
* Via the companion Web site, provides source code that enables you to experiment with a wide range of compression techniques, along with sample data and updates on the latest developments in the compression field.

Customer Reviews:

Accessible textbook on compression does not sacrifice rigor .......2007-05-19

This is one of those books that only gets a new edition when the author has something genuinely new to say, and this third edition of Sayood's excellent introduction to data compression is no exception. This particular edition is different from the second mainly in that there is a new chapter on audio compression that includes a description of the mp3 algorithm. Also there is additional information on the new video coding standards as well as the new facsimile standards.

As to the target audience for this book, if you are tasked with designing hardware or software implementations of data compression algorithms and you have some background in either electrical engineering or computer science, then this is a good book from which to learn and then to practice what you learn via some very good exercises. Some prior knowledge of information theory and random processes wouldn't hurt either. There is also an abundance of examples that are sprinkled throughout the book to illustrate concepts as they are presented. The author's approach in each chapter is to explain each concept in as an accessible manor as possible, present relevant equations, and then work an example using what has just been presented.

The book presents the mathematical preliminaries in chapter 2, and chapters 3 and 4 are dedicated to coding algorithms which include Huffman coding, arithmetic coding, Golumb-Rice codes, and Tunstall codes. Chapters 5 and 6 describe many of the popular lossless compression methods and their applications. These methods include LZW, BWT, and DMC. Chapter 7 describes various lossless image compression algorithms such as JBIG as well as their applications. Chapter 8 discusses the mathematical background of lossy compression standards. Chapters 9 and 10 concentrate on quantization since it is the basis of most lossy compression schemes. Chapter 11 discusses differential encoding techniques such as DPCM and delta modulation. Included is a discussion of the CCITT G.726 standard.

Chapter 12 is the third and final chapter dedicated to mathematical foundations. It is meant to prepare the reader for the chapters on transform, subband, and wavelet based methods that encompass the following three chapters. The JPEG standard is covered in chapter 13, the CCITT G.722 standard in chapter 14, and the EZW, SPIHT, and JPEG2000 standards are covered in chapter 15. Chapter 16 focuses on audio compression and includes descriptions of the various MPEG audio compression schemes including mp3. Chapter 17 switches gears somewhat and covers techniques in which the data to be compressed is analyzed and a model is produced. This model is then used to synthesize the data and is quite useful in speech compression. Chapter 18 deals with video compression and diverges from the book's central theme of dealing with techniques rather than applications. The chapter discusses the H.261 standard as well as MPEG-1, MPEG-2, and MPEG-4 standards.

The website for the book, found at the publisher's site, contains a large number of C programs dealing with compression. I haven't tried to use any of these yet, so I can't speak to their validity.

A great textbook.......2006-02-11

This book has all the ingredients for a great textbook. It provides good theoratical background without going into unnecessary details, gives lot of discussion about applications, provides great exercise problems, and above all it has outstanding examples that makes some of the difficult concepts easy to understand.

Data compression needs a lot of background in information theory and other areas specific to speech, image processing etc. It is impossible to give a rigourous theoratical treatment of all of those in one volume. A strong point of this book is that it gives you just enough background on a variety of topics - without making the whole book obscure. In that respect, it is very application and implementation oriented. It is in fact what it says it is: A very good "INTRODUCTION to Data Compression"

Very good coverage.......2004-12-27

The best thing about this book is the coverage and organization of the material. Sayood covers a wide variety of compression topics without getting into the nitty gritty details of them all. Thats why its an "Introductory" book. This book is a valuable resource for those who want to know the basics of various compression techniques and can be used as a starting point for further details. Some topics like arithmetic coding are covered in more detail than others. The book is also organized nicely with mathematical foundations provided as and when necessary.

"The" Definitive Guide.......2004-02-16

Amazon claims that this is "the definitive guide". I have to agree with them because this book is the only broad grey pages introduction to data compression that I have been able to find, and it is very well written.

If you are only casually interested in data compression this book is not for you.

If you are interested in adding compression to your application and your data falls into a common category, sound, video, text ect this book is probably not for you. You should look to the open source community or buy an off the shelf product.

But if your data is odd or unique like say telemtry data (I'm sure there are other examples I just can't think of any) and you need to design a compression scheme for your data this book is "the only" book for you.

If you want to begin research into data compression and you are a newbie this book is a must have.

Very well-written book, software not so good.......2003-04-25

The book is one of the clearest I have read as a text book. Why cant everybody write like this?? There is very good flow throughout the text.

Book Description

From the reviews: "The 2nd (slightly enlarged) edition of the van Lint's book is a short, concise, mathematically rigorous introduction to the subject. Basic notions and ideas are clearly presented from the mathematician's point of view and illustrated on various special classes of codes...This nice book is a must for every mathematician wishing to introduce himself to the algebraic theory of coding." European Mathematical Society Newsletter, 1993 "Despite the existence of so many other books on coding theory, this present volume will continue to hold its place as one of the standard texts...." The Mathematical Gazette, 1993

Customer Reviews:

Excellent book from mathematical standpoint.......2005-02-20

Very good intro textbook. It gives short, detailed preps to various coding areas (linear, cyclic, convolutional). The biggest advantage this book has is that it does not throw at You tonnes of unnecessary info (like many other thick books do). That is, it assumes reader has some basic understanding of algebra and probability theory. Let's say, it gives good theoretical presentation such that the reader gets good theoretical understanding, it is not example-based.

Making, Breaking Codes: Introduction to Cryptology

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Essential book on the mathematics of cryptography
Difficult to understand
Great buy!
Actually 4.6
Excellent book on cryptology

Making, Breaking Codes: Introduction to Cryptology
Paul Garrett
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Paperback

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ASIN: 0130303690

Book Description

This unique book explains the basic issues of classical and modern cryptography, and provides a self contained essential mathematical background in number theory, abstract algebra, and probability—with surveys of relevant parts of complexity theory and other things. A user-friendly, down-to-earth tone presents concretely motivated introductions to these topics. More detailed chapter topics include simple ciphers; applying ideas from probability; substitutions, transpositions, permutations; modern symmetric ciphers; the integers; prime numbers; powers and roots modulo primes; powers and roots for composite moduli; weakly multiplicative functions; quadratic symbols, quadratic reciprocity; pseudoprimes; groups; sketches of protocols; rings, fields, polynomials; cyclotomic polynomials, primitive roots; pseudo-random number generators; proofs concerning pseudoprimality; factorization attacks finite fields; and elliptic curves. For personnel in computer security, system administration, and information systems.

Customer Reviews:

Essential book on the mathematics of cryptography.......2006-06-20

This wonderful book lies between the layman's approach of "The Code Book" and "Applied Cryptography: Protocols, Algorithms, and Source Code in C", which takes an algorithmic approach to cryptography but glosses over the mathematical details. It is great for people who already understand the use of various cryptographic algorithms as depicted in "The Code Book", but want to understand the underpinning mathematics before they implement cryptography in code. It is the best of the applied math books on the subject, since it manages to explain the mathematics behind cryptography without getting bogged down in proofs. If cryptographic algorithms and implementations are your business, all three books are essential reading.

This book is a college level mathematics text that does a pretty good job of explaining the mathematics involved without assuming a lot in the way of background, but a preliminary course in abstract algebra would certainly be helpful. If I have any criticism of the book it is that there is a scarcity of actual numerical examples versus the multitude of unsolved exercises left to the student. I would recommend this book to anyone interested in the mathematics of cryptography.

NOTE: A second edition of this book is due in February 2007. Preliminary information shows it to be 100 pages longer than this edition. Thus, if you have to buy the first edition now, you might want to get a used one and demand a lower price due to the limited lifespan this edition has.

Difficult to understand.......2006-05-06

I took this course at the U of Minn (where the author is a professor). He has a reputation of being a good professor and a good guy (and I have no reason to doubt it). Unfortunately, his book is very hard to understand. While packed chock full of information, it is written in a **very, very** dense style. It makes a lot of assumptions about your prior knowledge and there are few examples to illustrate the theory. While this may be OK for a grad student in math (or even a bright senior), it is definitely not sufficient for a non-math major and most undergrads.

Great buy!.......2003-04-27

Other than a few 1st edition errors and too small of an anwer key, the book is definitely worth the money. It has a very down-to-earth style which is great if you're using the book on your own like me. I'm using this book for the Siemman's Westinghouse Scholarship Competition, and I think it is a great book for anyone interested in Cryptology, whether they like math or not.

Actually 4.6.......2003-04-27

I like the book quite a bit because of the actual down-to-earth language Garrett uses. It is very nice since I'm using it on my own time. There some errors in the book, however. He also selects only about 25% of the questions to anwer in the key. He could show about 50% and give an explanation on how to find the answer. Other than that, there is nothing wrong with the book and those problems shouldn't keep you from buying it.

Excellent book on cryptology.......2003-04-16

Very good book. His explanation is very clear.
I recommand to anyone who wants to learn cryptology.
I think computer scientist will get the most benefits from
this book.

Foundations of Coding: Theory and Applications of Error-Correcting Codes with an Introduction to Cryptography and Information Theory

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Foundations of Coding: Theory and Applications of Error-Correcting Codes with an Introduction to Cryptography and Information Theory
Ji&rcaron;í Adámek
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471621870

Book Description

Although devoted to constructions of good codes for error control, secrecy or data compression, the emphasis is on the first direction. Introduces a number of important classes of error-detecting and error-correcting codes as well as their decoding methods. Background material on modern algebra is presented where required. The role of error-correcting codes in modern cryptography is treated as are data compression and other topics related to information theory. The definition-theorem proof style used in mathematics texts is employed through the book but formalism is avoided wherever possible.

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Introduction to Coding Theory
Ron Roth
Manufacturer: Cambridge University Press
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Binding: Hardcover

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ASIN: 0521845041

Book Description

Error-correcting codes constitute one of the key ingredients in achieving the high degree of reliability required in modern data transmission and storage systems. This book introduces the reader to the theoretical foundations of error-correcting codes, with an emphasis on Reed-Solomon codes and their derivative codes. After reviewing linear codes and finite fields, Ron Roth describes Reed-Solomon codes and various decoding algorithms. Cyclic codes are presented, as are MDS codes, graph codes, and codes in the Lee metric. Concatenated, trellis, and convolutional codes are also discussed in detail.

Introduction to Cryptography with Coding Theory

Average customer rating:

Inadequate mathematical explanations
General Book Review
This book needs lots of work!
explains digital cash and quantum cryptography
A superb book

Introduction to Cryptography with Coding Theory
Wade Trappe , and Lawrence C. Washington
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Hardcover

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ASIN: 0130618144

Book Description

This book assumes a minimal background in programming and a level of math sophistication equivalent to a course in linear algebra. It provides a flexible organization, as each chapter is modular and can be covered in any order. Using Mathematica, Maple, and MATLAB, computer examples included in an Appendix explain how to do computation and demonstrate important concepts. A full chapter on error correcting codes introduces the basic elements of coding theory. Other topics covered: Classical cryptosystems, basic number theory, the data encryption standard, AES: Rijndael, the RSA algorithm, discrete logarithms, digital signatures, e-commerce and digital cash, secret sharing schemes, games, zero knowledge techniques, key establishment protocols, information theory, elliptic curves, error correcting codes, quantum cryptography. For professionals in cryptography and network security.

Customer Reviews:

Inadequate mathematical explanations.......2007-10-05

The authors of the book are obviously very knowledgeable about the subject matter. This book would have worked well as a reference to lectures delivered by the authors. But for self-study, this book provides INADEQUATE mathematical explanations.

My bachelor's degree is in Physics, and my commercial computer experience totals 11 years. And yet I found it hard to follow many of the mathematical assertions of the authors. If you are willing to accept the mathematical assertions on FAITH, then you will likely feel satisfied with this book. But if you want to UNDERSTAND the mathematics, and you want to be able to PROVE to yourself that the assertions and theorems are true, then you may find the explanations inadequate, as I did.

This book really REQUIRES a very strong foundation in Number Theory. My Physics course was not concerned with Number Theory. If you are like me, who has not finished a college-level course in Number Theory, then you might have the same difficulty in understanding this book.

The writing style of the authors does not help, either. They seldom give solved examples of the mathematical concepts they are presupposing. The end-of-chapter Exercises and Computer Problems are supplied with no feedback answers. The authors do not define two mathematical objects, that they use, and which I do not recognize.

In the first several chapters, the authors make about 10 mathematical assertions that they do not prove or demonstrate. These are embedded in "explanations" seeking to explain something else. But since the "explanations" make use of undemonstrated mathematical assertions, they fail to elicit understanding in the mind of the reader.

To summarize, this book is more like a textbook in support of classroom lectures, NOT for self-study seeking UNDERSTANDING of the subject matter.

General Book Review.......2007-03-10

I am using this book in a senior eletrical engineering course. This is an excellentally written text, though very mathematically. Even though it recommmends a calculus based course in Probability I would recommend a you also have a good grasp on working with modulus or mod (n). A course in number theory would help too. If you don't have hat then extra time should be dedicated to a course using this text.

This book needs lots of work!.......2006-11-01

The problems with this book are:
(1) The authors failed to explain the math involved in neither rigor nor
intuitive way. The authors frequently try to introduce algorithms before
explaining the concepts or definition.

(2) The book is a mixture of number theory, linear algebra, cryptography, mixed
almost randomly, without proper dependency logic. Neither cryptography algorithm,
no number theory or linear algebra concepts involved are explained clearly.

(3) It is more like a notebook taken by a student. It appears that the authors
simply submit the lecture notes for publication, none efforts were made to
turn a lecture notes to a published book.

Readers are not their students, they do not have access to the authors.
It appears to me that this is the only explaination, since I hate to doubt the
authors capability in writing a textbook in this field. I simply can not imagine
a competent professor in his field writing such a confusing textbook.

I hate to spend my time in writing this note, but this book wasted too much my time,
I just hope others will be lucky that I am. My knowledge in both math and CS are above
Master degree level.

explains digital cash and quantum cryptography.......2006-06-23

Trappe and Washington give us a very up to date education in cryptography, circa 2005. The discourse is for a sophisticated maths student who, however, need never have encountered cryptography before. The level of mathematical treatment is good and rigourous. With theorems stated and proved at a level that should satisfy even a picky mathematician.

The recent nature of the book is reflected in several places. Notably where it explains the Advanced Encryption Standard, or Rijndael. This is significant because it is endorsed by the US National Institute of Standards and Technology as the replacement for DES, in such contexts as electronic commerce. (DES is also covered by the book.)

Interestingly, the authors offer a short chapter on digital cash. A fascinating look at a possible future direction of a (physically) cashless society. Other texts on cryptography rarely cover the topic, so it's good to see it here. Yes, the first implementations of digital cash largely died in the dot com crash. But the idea lives on, and may yet take fruit. It has solid intellectual foundations, as shown by the book.

Then there is an even more speculative chapter on quantum cryptography. Radically different from the symmetric and public key cryptosystems described in the rest of the book. Who knows how quantum cryptography will turn out? Some very hard physical problems need to be solved.

A superb book.......2006-03-19

If more mathematics textbooks were written like this one, the number of mathematicians/scientists in the world would be much greater.
The book is an absolute pleasure to read. The discoursive style makes what surely can be considered as a hard subject smooth and easily flowing.
The subject is very well covered and the structure of the book is just fine, even for self-study.
Algorithms, encryption methods, mathematical theorems are nicely and elegantly explained and no previous knowledge is necessary in any of the fields.
At the end of many explanations or proofs I found myself stunned by the brevity and beauty of the argument.
I enjoyed also the nice software support and exercise coming with the books.

An Introduction to Cryptography, Second Edition (Discrete Mathematics and Its Applications)

Average customer rating:

daunting
This is very excellent book!!! I love this book.
love the book
enjoy and learn
Very confusing book

An Introduction to Cryptography, Second Edition (Discrete Mathematics and Its Applications)
Richard A. Mollin
Manufacturer: Chapman & Hall/CRC
ProductGroup: Book
Binding: Hardcover

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ASIN: 1584886188

Book Description

Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field. With numerous additions and restructured material, this edition presents the ideas behind cryptography and the applications of the subject. The first chapter provides a thorough treatment of the mathematics necessary to understand cryptography, including number theory and complexity, while the second chapter discusses cryptographic fundamentals, such as ciphers, linear feedback shift registers, modes of operation, and attacks. The next several chapters discuss DES, AES, public-key cryptography, primality testing, and various factoring methods, from classical to elliptical curves. The final chapters are comprised of issues pertaining to the Internet, such as pretty good privacy (PGP), protocol layers, firewalls, and cookies, as well as applications, including login and network security, viruses, smart cards, and biometrics. The book concludes with appendices on mathematical data, computer arithmetic, the Rijndael S-Box, knapsack ciphers, the Silver-Pohlig-Hellman algorithm, the SHA-1 algorithm, radix-64 encoding, and quantum cryptography. New to the Second Edition: · An introductory chapter that provides more information on mathematical facts and complexity theory · Expanded and updated exercises sets, including some routine exercises · More information on primality testing and cryptanalysis Accessible and logically organized, An Introduction to Cryptography, Second Edition is the essential book on the fundamentals of cryptography.

Customer Reviews:

daunting.......2003-04-24

This is a textbook designed for a one semester undergraduate course in cryptography. This makes it seem a little tamer than what it is. Crypto buffs will enjoy it, and there is little here than is not in some other advanced texts. What is of value is a section on RIJNDAEL, the new advanced encryption standard.
Useful as a starting point but not as easy to follow as some other texts. You better like this stuff already or you shouldn't dive into this book.

This is very excellent book!!! I love this book........2003-04-16

If you really want to learn cryptology, this is the book.
If you just want to know the superficial concept of it, then,
this is not the book for you.
Mathematics used in this book is very concise and clear.
This book also has the complete answers for many exercise
problems (not just short answer). The answers for exercise
problems are well written with the full explanations. Well done!! I really enjoy reading this book.

love the book.......2003-03-12

Only those who fear learning even some moderate math in order to learn
the crypto data will not like this book. The payoff is big time with
historical bios of people to fill in the background, symmetric-key and
public-key cryptosystems covered in full, and the facts on primality
testing and factoring to gear up for the advanced topics which are
superb. We even get to learn about quantum crypto. This book just makes me
want to learn more about the subject. I'd recommend it to all but those
who think you can learn crypto without math and who are only interested
in learning how to cryptanalyze algorithms. For them there are many
otherwise useless books out there. This is for those who really want to
learn about crypto and enjoy it in the process!

enjoy and learn.......2003-03-08

Readers should not be turned away from this book due to the rigorous mathematical content. If one learns the mathematical background (well developed in the text), then understanding of the cryptographic material becomes easier. Readers who only want "plain English' instead of mathematics betray their aversion to mathematics and point to the problem today with trying to teach cryptography. It cannot be effectively done without a rigorous mathematical background. This book does that and much more. Check out the biographical data in the text as well numerous other features.

Very confusing book.......2003-03-04

I had to use this book for cryptography class, and would not recommend it to anyone. The book was very math intensive, which I wouldn't mind if it weren't for the fact that there are no explanations in plain english to follow the math. This book is basically just a bunch of theorems and proofs. Also, there is no cryptanalysis of any of the algorithms included. There are much better books out there, I don't know why anyone would want to get this one.

Digital Video: An introduction to MPEG-2 (Digital Multimedia Standards Series)

Average customer rating:

I prefer rate it 0 star.
Confused and over-detailed
wasting time book
wasting time books
Don't Expect a Detailed Explanation of MPEG2 Video

Digital Video: An introduction to MPEG-2 (Digital Multimedia Standards Series)
Barry G. Haskell , Atul Puri , and Arun N. Netravali
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

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Accessories:

ASIN: 0412084112

Book Description

Digital Video offers comprehensive coverage of the MPEG-2 audio/visual digital compression standard. The treatment includes the specifics needed to implement an MPEG-2 Decoder, including the syntax and semantics of the coded bitstreams. Since the MPEG-2 Encoders are not specified by the standard, and are actually closely held secrets of many vendors, the book only outlines the fundamentals of encoder design and algorithm optimization.

Customer Reviews:

I prefer rate it 0 star........2002-07-10

This book won't make you understand anything about MPEG if you don't know anything about MPEG.

If you already know something about MPEG, definatelly you don't have to read it.

All graphs in this book are not related with context, and same to the math equations.

Confused and over-detailed.......2002-04-24

Unfortunately I bought this book after reading the first three reviews. I think the later reviews are closer to the mark.

The book is confusing and overly detailed with no unifying thread. I bought the standard, and reading it after this book was like a breath of fresh air.

wasting time book.......2000-07-12

If you really want to learn MPEG2 or MPEG4, go directly to the standards. The authors try their best to confuse the reader. Even simple concepts cannot be explained clearly.

wasting time books.......2000-07-12

With many years of MPEG experience, I still found the book boring. Simple concepts become chaos from author's poor sentences. Almost all graphs are used for confusing the reader. I could hardly finish reading. Frankly, all video gurus in our company dislike the book. If you really want to learn MPEG-2 or MPEG-4, go directly to the standards. They are more clearly written.

Don't Expect a Detailed Explanation of MPEG2 Video.......1999-07-15

This book didn't live up to previous reviews. It's quite expensive at $95. The chapters compartmentalize subjects such as motion compensation modes and video coding which are not independent subjects, and they never tie these subjects together. I haven't found a block diagram of a video encoder anywhere in the book. The entire subject of MPEG2 video encoding is covered in one 25-page chapter (although there is a chapter on motion compensation as I mentioned, and there's a chapter on Video Stream Syntax and Semantics which is little more than a re-hash of the MPEG2 part 2 spec.). I've gotta believe there's something better out there. The "Techniques and Standards for Image Video and Audio Coding" by Rao/Hwang is a bit better.

Introduction to the Theory of Error-Correcting Codes, 3rd Edition

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Introduction to the Theory of Error-Correcting Codes, 3rd Edition
Vera Pless
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471190470

Book Description

A complete introduction to the many mathematical tools used to solve practical problems in coding.

Mathematicians have been fascinated with the theory of error-correcting codes since the publication of Shannon's classic papers fifty years ago. With the proliferation of communications systems, computers, and digital audio devices that employ error-correcting codes, the theory has taken on practical importance in the solution of coding problems. This solution process requires the use of a wide variety of mathematical tools and an understanding of how to find mathematical techniques to solve applied problems.

Introduction to the Theory of Error-Correcting Codes, Third Edition demonstrates this process and prepares students to cope with coding problems. Like its predecessor, which was awarded a three-star rating by the Mathematical Association of America, this updated and expanded edition gives readers a firm grasp of the timeless fundamentals of coding as well as the latest theoretical advances. This new edition features:
* A greater emphasis on nonlinear binary codes
* An exciting new discussion on the relationship between codes and combinatorial games
* Updated and expanded sections on the Vashamov-Gilbert bound, van Lint-Wilson bound, BCH codes, and Reed-Muller codes
* Expanded and updated problem sets.

Introduction to the Theory of Error-Correcting Codes, Third Edition is the ideal textbook for senior-undergraduate and first-year graduate courses on error-correcting codes in mathematics, computer science, and electrical engineering.

Introduction to Coding and Information Theory (Undergraduate Texts in Mathematics)

Average customer rating:

Concise and well explained

Introduction to Coding and Information Theory (Undergraduate Texts in Mathematics)
Steven Roman
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387947043

Book Description

This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.

Customer Reviews:

Concise and well explained.......2001-06-19

I have used this book in my course of coding theory. In my experience it is enough clear for the students and cover the fundamental material with enough deep from introductory point of view. From this book the reader can continue the study of subject in a more theoretical fashion or in the more applied one. It is a good text book for a introductory course, and I have seen several other books. However I think the author spend so much time in chapter four. The book is well strutured for a one semester course.

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