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024 7 $a10.1007/978-3-319-04498-9
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100   $a20140829d2014      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aAbstract Algebra $eStructure and Application /$fby David R. Finston, Patrick J. Morandi
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2014.
215   $a1 online resource (IX, 187 p. 45 illus.)
225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-04497-4 
327   $aIdentification 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.
330   $aThis text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences. Applications include: Identification numbers and modular arithmetic (linear) error-correcting codes, including cyclic codes ruler and compass constructions cryptography symmetry of patterns in the real plane Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject, or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.
410  0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506
606   $aAlgebra
606   $aComputer science?Mathematics
606   $aComputer mathematics
606   $aMatrix theory
606   $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000
606   $aMathematical Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M13110
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
615  0$aAlgebra.
615  0$aComputer science?Mathematics.
615  0$aComputer mathematics.
615  0$aMatrix theory.
615 14$aAlgebra.
615 24$aMathematical Applications in Computer Science.
615 24$aLinear and Multilinear Algebras, Matrix Theory.
676   $a512.02
700   $aFinston$b David R$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721634
702   $aMorandi$b Patrick J$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299965903321
996   $aAbstract Algebra$92543295
997   $aUNINA