Download e-book for kindle: A Concrete Approach to Abstract Algebra: From the Integers by Jeffrey Bergen

By Jeffrey Bergen

ISBN-10: 0123749417

ISBN-13: 9780123749413

A Concrete method of summary Algebra begins with a concrete and thorough exam of standard items like integers, rational numbers, actual numbers, complicated numbers, advanced conjugation and polynomials, during this special approach, the writer builds upon those familar items after which makes use of them to introduce and inspire complex techniques in algebra in a fashion that's more straightforward to appreciate for many students. The textual content should be of specific curiosity to academics and destiny academics because it hyperlinks summary algebra to many themes wich come up in classes in algebra, geometry, trigonometry, precalculus and calculus.  the ultimate 4 chapters present the extra theoretical fabric wanted for graduate study.

  • Presents a extra average 'rings first' approach to successfully best the coed into the the summary fabric of the path via motivating ideas from earlier math classes to steer the dialogue of summary algebra
  • Bridges the space for college students through displaying how many of the recommendations inside an summary algebra path are literally instruments used to resolve tough, yet recognized difficulties
  • Builds on really customary fabric (Integers, polynomials) and strikes onto extra summary themes, whereas supplying a historic method of introducing teams first as automorphisms
  • Exercises offer a balanced mix of trouble degrees, whereas the volume permits the teacher a range of selections

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A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic by Jeffrey Bergen

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