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Modern Algebra

Philip J. Erdelsky

June 14, 2012

Please e-mail comments, corrections and additions to the webmaster at pje@efgh.com.

This treatment of modern algebra is a work in progress. New sections are being added from time to time, and existing parts are being polished.

Mathematics uses some symbols not in standard typefaces. Small graphics were formerly used for most of them. Modern browsers have extended character sets, which have been used to display mathematical symbols in the latest versions of this work.

  1. Elementary Set Theory
  2. Integers
  3. Permutations
  4. Groups
  5. Rings, Integral Domains and Fields
  6. Vector Spaces
  7. Polynomials
  8. Matrices
  9. Determinants
  10. Finite Fields
  11. Eigenvalues and Eigenvectors