Number Theory

A Concrete Approach to Abstract Algebra: From the Integers - download pdf or read online

By Jeffrey Bergen

ISBN-10: 0123749417

ISBN-13: 9780123749413

A Concrete method of summary Algebra begins with a concrete and thorough exam of well-known items like integers, rational numbers, actual numbers, advanced numbers, advanced 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 suggestions in algebra in a fashion that's more uncomplicated to appreciate for many students. The textual content can be of specific curiosity to academics and destiny academics 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 traditional 'rings first' approach to successfully best the coed into the the summary fabric of the path by way of motivating options from prior math classes to lead the dialogue of summary algebra
  • Bridges the distance for college students through displaying how many of the strategies inside an summary algebra path are literally instruments used to unravel tough, yet famous difficulties
  • Builds on rather generic fabric (Integers, polynomials) and strikes onto extra summary issues, whereas offering a old procedure of introducing teams first as automorphisms
  • Exercises offer a balanced mixture of hassle 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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