Format:
1 Online-Ressource (XIII, 177 Seiten)
,
Illustrationen
ISBN:
9783030411534
Series Statement:
Compact textbooks in mathematics
Content:
Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index.
Content:
This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannon’s theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed.
Additional Edition:
ISBN 9783030411527
Additional Edition:
ISBN 9783030411541
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030411527
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030411541
Language:
English
Subjects:
Computer Science
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Mathematics
DOI:
10.1007/978-3-030-41153-4
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