Numbers and Symmetry: An Introduction to Algebra - Hardcover

Johnston, Bernard L.

Hardcover

ISBN 10: 1138402095 ISBN 13: 9781138402096

Verlag: CRC Press, 2017

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Department of Mathematical Sciences Florida Atlantic University Boca Raton, Florida. Department of Mathematical Sciences Florida Atlantic University Boca Raton, Florida.

Details zur Ausgabe

• Verlag: CRC Press
• Erscheinungsdatum: 2017
• Sprache: Englisch
• ISBN 10: 1138402095
• ISBN 13: 9781138402096
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 270
• Kontakt zum Hersteller: CRC Press; https://www.routledge-ny.com; ; 6000 BROKEN SOUND PARKWAY, NW SUITE 300; BOCA RATON; FL; 33487; USA
• Verantwortliche Person: Taylor & Francis Verlag GmbH; GPSR@taylorandfrancis.com; ; Kaufingerstraße 24, 80331 München, Germany; München; Deutschland