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portada Numbers and Symmetry: An Introduction to Algebra
Type
Physical Book
Publisher
Language
English
Pages
270
Format
Hardcover
Weight
0.45 kg.
ISBN13
9781138402096
Edition No.
1

Numbers and Symmetry: An Introduction to Algebra

Bernard L. Johnston (Author) · CRC Press · Hardcover

Numbers and Symmetry: An Introduction to Algebra - Johnston, Bernard L.

Physical Book

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Synopsis "Numbers and Symmetry: An Introduction to Algebra"

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:

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