Description
Birkhauser Abstract Algebra Structure and Application by David R. Finston, Patrick J. Morandi
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. _x000D__x000D__x000D__x000D_Applications include:_x000D__x000D__x000D__x000D__x000D__x000D_Identification numbers and modular arithmetic_x000D_(linear) error-correcting codes, including cyclic codes_x000D_ruler and compass constructions_x000D_cryptography_x000D_symmetry of patterns in the real plane _x000D__x000D_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._x000D_ Table of contents :- _x000D_
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._x000D_