Download e-book for iPad: 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 popular items like integers, rational numbers, genuine numbers, advanced numbers, complicated conjugation and polynomials, during this new angle, the writer builds upon those familar items after which makes use of them to introduce and inspire complicated thoughts in algebra in a way that's more straightforward to appreciate for many students. The textual content can be of specific curiosity to lecturers and destiny lecturers because it hyperlinks summary algebra to many subject matters 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 recommendations from prior math classes to steer the dialogue of summary algebra
  • Bridges the space for college students through displaying how many of the techniques inside of an summary algebra direction are literally instruments used to unravel tricky, yet recognized difficulties
  • Builds on fairly wide-spread fabric (Integers, polynomials) and strikes onto extra summary subject matters, whereas delivering a ancient procedure of introducing teams first as automorphisms
  • Exercises supply a balanced mixture of trouble degrees, whereas the volume permits the teacher a range of decisions

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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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