Titlebook: Abstract Algebra; Structure and Applic David R. Finston,Patrick J. Morandi Textbook 2014 Springer International Publishing Switzerland 2014

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David R. Finston,Patrick J. MorandiAccessible to students with no prior knowledge of abstract algebra.Focuses on a wide variety of daily applications.Numerous sample problems and exercises.Includes supplementary material:

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Textbook 2014presentation 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, incl

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Women Artisans Facing Obstaclesethods to encoding and transmit information in ways that allow both detection and correction of errors. There are many applications of these so-called error correcting codes, among them transmission of digital images from planetary probes and playing compact discs and DVD movies.

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https://doi.org/10.1007/978-3-030-82303-0ons are performed on matrices, and might have seen vector spaces, with their addition, subtraction, and scalar multiplication. Many of the functions you studied in precalculus and calculus can be combined by addition, subtraction, multiplication, division, and also composition.

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1867-5506 and exercises.Includes supplementary material: .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 le

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https://doi.org/10.1007/978-3-030-82303-0look at other finite fields when we discuss Reed–Solomon codes. One benefit to working with finite dimensional vector spaces over finite fields is that all sets in question are finite, and so computers can be useful in working with them.