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Abstract algebra /

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Bibliographic Details
Main Author: Garrett, Paul B. (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : Chapman and Hall/CRC, [2008]
Subjects:
Algebra, Abstract > Textbooks.
Algebra, Abstract
Electronic books.
Textbooks
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. The integers
  • 2. Groups I
  • 3. The players : rings, fields, et cetera
  • 4. Commutative rings I
  • 5. Linear algebra I : dimension
  • 6. Fields I
  • 7. Some irreducible polynomials
  • 8. Cyclotomic polynomials
  • 9. Finite fields
  • 10. Modules over PIDs
  • 11. Finitely-generated modules
  • 12. Polynomials over UFDs
  • 13. Symmetric groups
  • 14. Naive set theory
  • 15. Symmetric polynomials
  • 16. Eisenstein's criterion
  • 17. Vandermonde determinants
  • 18. Cyclotomic polynomials II
  • 19. Roots of unity
  • 20. Cyclotomic III
  • 21. Primes in arithmetic progressions
  • 22. Galois theory
  • 23. Solving equations by radicals
  • 24. Eigenvectors, spectral theorems
  • 25. Duals, naturality, bilinear forms
  • 26. Determinants I
  • 27. Tensor products
  • 28. Exterior powers.