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Mar 30 '14 at 21:52 comment added Ittay Weiss yes, these applications are certainly accessible.
Mar 30 '14 at 21:47 comment added paul garrett While this is a reasonable viewpoint, in fact I find the traditional "algebra" curriculum in middle school and high school quite impoverished of any genuine algebra, and Eisenstein's criterion is wonderfully easy, yet moves in the direction of real things. A few cyclotomic polynomials? Kummer polynomials $x^n-a$? Those things appealed to me at the time... and are defensible by their applicability to signal processing coding, and to crypto, not to mention "higher algebra", etc.
Mar 30 '14 at 21:38 history answered Ittay Weiss CC BY-SA 3.0