We discuss proof methods and necessary background as the need arises. Instead of spending a lot of time going over background material, we go directly into the primary subject matter. I was ill serverd by this bit of extremporaneous advice, and vowed never to perpetuate the falsehood that mathematics is purelyor primarilya formalism. Also you may have the latex file in case you want to revise it to suit your own taste. This is the mathematics all of us need in order to. From the integers to the insolvability of the quintic, by jeffrey bergen not in a thick published documents. Some familiarity with basic set theory, calculus, and linear algebra, is assumed.
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