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Notes on Algebra by Donu Arapura

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Notes on Algebra written by Donu Arapura . This is an other great mathematics book cover the following topics.

  • 1. The idea of a group
  • 2. The group of permutations
  • 3. Rotations and reflections in the plane
  • 4. Cyclic groups and dihedral groups
  • 5. Finite sets, counting and group theory
  • 6. More counting problems with groups
  • 7. Kernels and quotients
  • 8. Rings and modular arithmetic
  • 9. Z∗p is cyclic
  • 10. Matrices over Zp
  • 11. The sign of a permutation
  • 12. Determinants
  • 13. The 3 dimensional rotation group
  • 14. Finite subgroups of the rotation group
  • 15. Quaternions
  • 16. The Spin group
  • Download free pdf Notes on Algebra by Donu Arapura
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