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Abstract Algebra [[electronic resource] ] : Structure and Application / / by David R. Finston, Patrick J. Morandi



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Autore: Finston David R Visualizza persona
Titolo: Abstract Algebra [[electronic resource] ] : Structure and Application / / by David R. Finston, Patrick J. Morandi Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2014
Edizione: 1st ed. 2014.
Descrizione fisica: 1 online resource (IX, 187 p. 45 illus.)
Disciplina: 512.02
Soggetto topico: Algebra
Computer science—Mathematics
Computer mathematics
Matrix theory
Mathematical Applications in Computer Science
Linear and Multilinear Algebras, Matrix Theory
Persona (resp. second.): MorandiPatrick J
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: Identification Numbers and Modular Arithmetic -- Error Correcting Codes -- Rings and Fields -- Linear Algebra and Linear Codes -- Quotient Rings and Field Extensions -- Ruler and Compass Constructions -- Cyclic Codes -- Groups and Cryptography -- The Structure of Groups -- Symmetry.
Sommario/riassunto: This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences. Applications include: Identification numbers and modular arithmetic (linear) error-correcting codes, including cyclic codes ruler and compass constructions cryptography symmetry of patterns in the real plane Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject, or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.
Titolo autorizzato: Abstract Algebra  Visualizza cluster
ISBN: 3-319-04498-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910299965903321
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Serie: Springer Undergraduate Texts in Mathematics and Technology, . 1867-5506