Numbers and Symmetry: An Introduction to Algebra

This textbook presents modern algebra from the ground up using numbers and symmetry. 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 modulon, and is encouraged to take the time to explore and become familiar with those structures.

Science & Math

Johnston, Bernard L.

Richman, Fred

Mathematics

CRC-Press

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:

See the best price to sell, buy, or rent books by Johnston, Bernard L.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Johnston, Bernard L.

See the best price to sell, buy, or rent books by Johnston, Bernard L.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Numbers and Symmetry: An Introduction to Algebra

Numbers and Symmetry: An Introduction to Algebra