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

By Jeffrey Bergen

A Concrete method of summary Algebra begins with a concrete and thorough exam of wide-spread items like integers, rational numbers, genuine numbers, complicated numbers, complicated conjugation and polynomials, during this special approach, the writer builds upon those familar items after which makes use of them to introduce and encourage complex thoughts in algebra in a way that's more straightforward to appreciate for many students. The textual content might be of specific curiosity to academics and destiny lecturers because it hyperlinks summary algebra to many issues 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 common 'rings first' approach to successfully best the coed into the the summary fabric of the direction by means of motivating ideas from prior math classes to steer the dialogue of summary algebra
  • Bridges the distance for college students by means of exhibiting how many of the strategies inside of an summary algebra path are literally instruments used to resolve tricky, yet recognized difficulties
  • Builds on rather ordinary fabric (Integers, polynomials) and strikes onto extra summary themes, whereas supplying a historic technique of introducing teams first as automorphisms
  • Exercises offer a balanced mixture of trouble degrees, whereas the amount permits the trainer a range of selections

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