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Numbers and Symmetry an Introduction to Algebra

by Fred Richman

  • ISBN: 9780849303012
  • ISBN10: 084930301X

Numbers and Symmetry an Introduction to Algebra

by Fred Richman

  • Binding: Paperback
  • Publisher: CRC Pr I Llc
  • Publish date: 01/01/1997
  • ISBN: 9780849303012
  • ISBN10: 084930301X
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Description: This straightforward textbook teaches modern algebra from the ground up using numbers and symmetry as the basis of its approach. It explains the basics of numeric groups, rings and fields. It then examines the structures these groups form. Symmetry, the study of structure preserving transformations, provides the student with a visual introduction to the central algebraic notion of isomorphisms (similarities in form shown by different structures).
-- Explains basic concepts of modern algebra in a way that students can easily understand
-- Each chapter includes a section of notes devoted to explanatory, speculative, and historical asides
-- A full explanation of mathematical induction is included in an appendix
-- Allows students to become familiar with mathematical structures in concrete settings before facing abstract definitions
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