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

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 options at their disposal, scholars research the foundations of logical inference, learn and comprehend proofs of theorems, and write their very own proofs—all whereas turning into acquainted with the grammar of arithmetic and its type. furthermore, they'll advance an appreciation of the several equipment of evidence (contradiction, induction), the price of an explanation, and the wonderful thing about a sublime argument. The authors emphasize that arithmetic is an ongoing, shiny discipline—its lengthy, attention-grabbing background always intersects with territory nonetheless uncharted and questions nonetheless wanting solutions. The authors’ wide historical past in educating arithmetic shines via during this balanced, particular, and fascinating textual content, designed as a primer for higher-level arithmetic classes. They elegantly show approach and alertness and realize the byproducts of either the achievements and the missteps of prior thinkers. Chapters 1–5 introduce the basics of summary arithmetic and chapters 6–8 observe the information and methods, putting the sooner fabric in a true context. Readers’ curiosity is consistently piqued by way of transparent causes, sensible examples, dialogue and discovery routines, and ancient comments.

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

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