The Mathematical Method: A Transition to Advanced Mathematics

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9780131270022: The Mathematical Method: A Transition to Advanced Mathematics
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This text includes an eclectic blend of math: number theory, analysis, and algebra, with logic as an extra.

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A "gentle" and superbly written introduction to mathematical rigor and proof, this text is designed to prepare students (especially math majors) for subsequent junior/senior-level courses in Abstract Analysis and Algebra by providing extended developments of several basic mathematical topics. It offers a finely-focused, "hands-on" approach to the rigors of mathematical reasoning -- "the mathematical method" -- i.e., developing carefully formulated definitions, clearly stated assumptions, and logically rigorous proofs.

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