Abstract Algebra Structure and Application /

• Main Authors: Finston, David R. (Author), Morandi, Patrick J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
• Series: Springer Undergraduate Texts in Mathematics and Technology,
• Subjects: Mathematics.; Algebra.; Matrix theory.; Computer science > Mathematics.; Computer mathematics.; Mathematical Applications in Computer Science.; Linear and Multilinear Algebras, Matrix Theory.

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 natur...

Table of Contents:

• 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.