Modern Algebra Philip J. Erdelsky June 14, 2012

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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

• A German translation by Daniel Gruber