A01=Bernard L. Johnston
Algebraic Integer
Author_Bernard L. Johnston
BCH Code
Category=PBF
concrete number systems
Cyclic Code
Division Algorithm
Elementary Row Operations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclidean Algorithm
Finite Field
Frieze Pattern
Gaussian Integers
Gaussian Prime
Gaussian primes
Greatest Common Divisor
isomorphism
Isomorphism Invariant
Linearly Independent
modern algebra
Monic Polynomial
Nonzero Element
Odd Prime
Ordinary Integer
Parity Check Matrix
Prime Integer
Rational Numbers
Reduced Row Echelon Form
Reed Solomon Code
Row Echelon Form
Symmetry Group
symmetry groups
Vice Versa
Product details
- ISBN 9781138402096
- Weight: 660g
- Dimensions: 156 x 232mm
- Publication Date: 21 Aug 2017
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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This textbook presents modern algebra from the ground up using numbers and symmetry. The idea of a ring and of a field are introduced in the context of concrete number systems. Groups arise from considering transformations of simple geometric objects. The analysis of symmetry provides the student with a visual introduction to the central algebraic notion of isomorphism.
Designed for a typical one-semester undergraduate course in modern algebra, it provides a gentle introduction to the subject by allowing students to see the ideas at work in accessible examples, rather than plunging them immediately into a sea of formalism. The student is involved at once with interesting algebraic structures, such as the Gaussian integers and the various rings of integers modulo n, and is encouraged to take the time to explore and become familiar with those structures.
In terms of classical algebraic structures, the text divides roughly into three parts:
Department of Mathematical Sciences Florida Atlantic University Boca Raton, Florida. Department of Mathematical Sciences Florida Atlantic University Boca Raton, Florida.
