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.
Introduction to Coding and Information Theory
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6 of 7 people found the following review helpful:
5.0 out of 5 stars
Concise and well explained,
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This review is from: Introduction to Coding and Information Theory (Undergraduate Texts in Mathematics) (Hardcover)
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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Inside This Book
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First Sentence:
In this book, we discuss two distinct aspects of the problem of transmitting data (called source data) from one location to another or, what amounts to the same thing, storing data and then retrieving the data at a later time. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Definition Let, Noiseless Coding Theorem, Kraft's Theorem, Prove Theorem, Proof Let, Proof Suppose, Selected Odd-Numbered Exercises Section, Compare the Singleton, Marcel Golay, Prove Lemma, Assuming the Reed-Muller, Determine the Gilbert-Varshamov, Principle of Inclusion-Exclusion New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In this book, we discuss two distinct aspects of the problem of transmitting data (called source data) from one location to another or, what amounts to the same thing, storing data and then retrieving the data at a later time. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Definition Let, Noiseless Coding Theorem, Kraft's Theorem, Prove Theorem, Proof Let, Proof Suppose, Selected Odd-Numbered Exercises Section, Compare the Singleton, Marcel Golay, Prove Lemma, Assuming the Reed-Muller, Determine the Gilbert-Varshamov, Principle of Inclusion-Exclusion New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
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97
books
cite this book:
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- Coding and Information Theory (Graduate Texts in Mathematics) by Steven Roman in Front Matter, Back Matter (1), and Back Matter (2)
- Mathematical Reflections by Association of Teachers of Mathematics in Back Matter
- Linear Algebra (Oxford Science Publications) by Richard Kaye in Back Matter
- Topology of Surfaces (Undergraduate Texts in Mathematics) by L.Christine Kinsey in Back Matter
- The Heritage of Thales (Undergraduate Texts in Mathematics / Readings in Mathematics) by W.S. Anglin in Front Matter
See all 100 books this book cites
- Introduction to Cryptography (Undergraduate Texts in Mathematics) by Johannes Buchmann in Back Matter
- Differential Equations: An Introduction with Mathematica® (Undergraduate Texts in Mathematics) by Clay C. Ross in Back Matter
- Introduction to the Mathematics of Finance: From Risk Management to Options Pricing (Undergraduate Texts in Mathematics) by Steven Roman in Back Matter
- The Heritage of Thales (Undergraduate Texts in Mathematics / Readings in Mathematics) by W.S. Anglin in Back Matter
- Topology of Surfaces (Undergraduate Texts in Mathematics) by L.Christine Kinsey in Back Matter
See all 97 books citing this book
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