Read e-book online An Introduction to Abstract Mathematics PDF

By Robert J. Bond,William J. Keane

Bond and Keane explicate the weather of logical, mathematical argument to explain the that means and significance of mathematical rigor. With definitions of innovations at their disposal, scholars examine the foundations of logical inference, learn and comprehend proofs of theorems, and write their very own proofs—all whereas changing into conversant in the grammar of arithmetic and its variety. moreover, they are going to boost an appreciation of different tools of evidence (contradiction, induction), the price of an evidence, and the great thing about a sublime argument. The authors emphasize that arithmetic is an ongoing, vivid discipline—its lengthy, attention-grabbing heritage consistently intersects with territory nonetheless uncharted and questions nonetheless wanting solutions. The authors’ vast historical past in instructing arithmetic shines via during this balanced, particular, and interesting textual content, designed as a primer for higher-level arithmetic classes. They elegantly show procedure and alertness and realize the byproducts of either the achievements and the missteps of previous thinkers. Chapters 1–5 introduce the basics of summary arithmetic and chapters 6–8 follow the information and strategies, putting the sooner fabric in a true context. Readers’ curiosity is constantly piqued via transparent reasons, functional examples, dialogue and discovery routines, and historic comments.

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An Introduction to Abstract Mathematics by Robert J. Bond,William J. Keane

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