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Birkhäuser - Birkhäuser Mathematics | Abstract Algebra - Structure and Application

Abstract Algebra

Structure and Application

Finston, David, Morandi, Patrick

2014, IX, 187 p. 45 illus. With online files/update.

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  • Accessible to students with no prior knowledge of abstract algebra
  • Focuses on a wide variety of daily applications
  • Numerous sample problems and exercises

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.

Content Level » Upper undergraduate

Keywords » Cyclic codes - Field extension - Group theory - Modular arithmetic - Rings and fields - Symmetry

Related subjects » Birkhäuser Mathematics

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