Abstract Algebra: Structure and Application (Springer Undergraduate Texts in Mathematics and Technology)

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9783319044972: Abstract Algebra: Structure and Application (Springer Undergraduate Texts in Mathematics and Technology)
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“This book can be used in various situations: for an applied algebra course, for courses designed for secondary mathematics teachers, for programs of Master’ degree in middle school mathematics education or a Master of Arts in Teaching Mathematics. … The book is structured in ten chapters.” (Florentina Chirte?, zbMATH, Vol. 1304, 2015)

Vom Verlag:

An Invitation to Abstract Algebra via Applications seeks to generate an interest in abstract algebra while requiring minimal prerequisites via the use of motivating applications examples, rather than, developing a complete theory of algebraic structures. The thorough and logical presentation starts with concrete topics and applications based on everyday experiences that naturally lead students to algebraic questions and concepts. The consistent, down-to-earth presentation is accessible to an audience with no previous knowledge of abstract algebra, paving the way towards more advanced algebra courses. The chosen applications include: * Error-correcting codes * Linear algebra and linear codes * Ruler and compass constructions * Cyclic codes* Cryptography and group theory* Symmetry An Invitation to Abstract Algebra via Applications provides motivation, introductory material, exercises and examples suitable for a first course on abstract algebra whose main purpose is to generate interest in the subject and to prepare students for subsequent algebra courses. It will also appeal to math majors looking for applications of the concepts discussed as well as engineering and computer science undergraduates with a strong mathematics background.

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David Finston
Verlag: Springer-Verlag Gmbh Okt 2014 (2014)
ISBN 10: 3319044974 ISBN 13: 9783319044972
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Buchbeschreibung Springer-Verlag Gmbh Okt 2014, 2014. Buch. Buchzustand: Neu. 261x155x17 mm. Neuware - 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. 187 pp. Englisch. Artikel-Nr. 9783319044972

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