Elementary number theory and group theory as the basis for a first course in formal mathematics. Begins with the rudiments of logic. Group theory to the Sylow existence theorem. Beginning theory of domains, ideals, and homomorphisms. Formal constructions of the integers and rational numbers.
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Professor Parks of Lawrence University has been teaching undergraduates at all levels of mathematics for over thirty years. His wrote his PhD thesis on group theory. For the last twenty years, we has worked on numerical algorithms for optimization problems.
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