Coding and Information Theory by Steven Roman
This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. After a brief discussion of general families of codes, the author discusses linear codes (including the Hamming, Golary, the Reed-Muller codes), finite fields, and cyclic codes (including the BCH, Reed-Solomon, Justesen, Goppa, and Quadratic Residue codes). An appendix reviews relevant topics from modern algebra.-
Algebraic Geometry
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Introduction to Riemannian Manifolds
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Algebra
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Brownian Motion and Stochastic Calculus
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Applications of Lie Groups to Differential Equations
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The Arithmetic of Elliptic Curves
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Advanced Linear Algebra
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Groups and Representations
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Modular Functions and Dirichlet Series in Number Theory
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Categories for the Working Mathematician
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Quaternion Algebras
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Measure, Integration & Real Analysis
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Differential Forms in Algebraic Topology
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Complex Analysis
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Modern Graph Theory
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Problems in Analytic Number Theory
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Representation Theory
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Fermat's Last Theorem
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Holomorphic Functions and Integral Representations in Several Complex Variables
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Elements of Homotopy Theory
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Graph Theory
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Probability Theory I
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Algebraic Number Theory
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Topology and Geometry
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Foundations of Differentiable Manifolds and Lie Groups
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Abstract Algebra
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Introduction to Topological Manifolds
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Linear Representations of Finite Groups
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A Classical Introduction to Modern Number Theory
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Introduction to Smooth Manifolds
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Brownian Motion, Martingales, and Stochastic Calculus
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Lie Groups, Lie Algebras, and Representations
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Functions of One Complex Variable I
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A First Course in Modular Forms
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Commutative Algebra
Steven Roman is an Emeritus Mathematics Professor at the University of California. Field Theory, Advanced Linear Algebra, Introduction to Coding and Information Theory, and most recently Foundations of Group Theory are among his many Springer publications.
| SKU | Unavailable |
| ISBN 13 | 9780387978123 |
| ISBN 10 | 0387978127 |
| Title | Coding and Information Theory |
| Author | Steven Roman |
| Series | Graduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 1992-06-04 |
| Number of pages | 488 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |