Report : A Use For Computing in an Abstract Algebra Cours e A USE FOR COMPUTING IN AN ABSTRACT ALGEBRA COURS E by John Beidle r Gary Eichelsdorfe r Department of Mathematic s University of Scranto n Scranton, PA 1851 0 Introduction In many ways the only distinction between a course in Abstract Algebr a and a course in Discrete Structures is in the point of view . In algebra on e studies mathematical structures, for example, semigroups, groups, rings, an d fields with the point of view that these structures are of interest in themselves . In Discrete Structures we study some of these same structures, but in this cours e the emphasis is on their applications . An Abstract Algebra course presents some unique problems . First an d foremost, it is generally taught by a mathematician using the theorem-proo f approach . The material itself is supposed to motivate the students . Th e volume of material covered almost precludes the introduction of any applications . Besides, most of us would agree that a formal rather than an intuitive approac h is essential if a reasonably high level of mathematical sophistication is to b e
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