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About The Book
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An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus treating them more rigorously and it covers various proof techniques; the second part covers induction sets functions cardinality complex numbers permutations and matrices; the third part introduces basic number theory including