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How to Study Mathematics (2017)
Lawrence Neff Stout, Department of Mathematics, Illinois Wesleyan University, Bloomington, Il 61702-2900 This essay describes a number of strategies for studying college level mathematics. It has sections entitled Return to L.N.
What should you do with a definition Theorems, Propositions, Lemmas, and Corollaries Fitting the subject together How to make sense of a proof Developing technique A few final suggestions Some proofs use other strategies: contrapositive argument, reductio ad absurdum, mathematical induction, perhaps even Zorn's lemma (a form of the axiom of choice). About a third to a half of any math course deals with technique---the process of making theorems work for you in specific situations rather than in the general setting in which they are usually stated.
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