Mathematical Analysis

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

By Robert J. Bond,William J. Keane

ISBN-10: 0534950507

ISBN-13: 9780534950507

Bond and Keane explicate the weather of logical, mathematical argument to explain the which means and value of mathematical rigor. With definitions of strategies at their disposal, scholars research the principles 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 variety. additionally, they are going to boost an appreciation of the various tools of evidence (contradiction, induction), the worth of an explanation, and the great thing about a chic argument. The authors emphasize that arithmetic is an ongoing, vivid discipline—its lengthy, attention-grabbing historical past consistently intersects with territory nonetheless uncharted and questions nonetheless short of solutions. The authors’ broad heritage in educating arithmetic shines via during this balanced, particular, and interesting textual content, designed as a primer for higher-level arithmetic classes. They elegantly reveal 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 tips and strategies, putting the sooner fabric in a true context. Readers’ curiosity is consistently piqued via transparent factors, useful examples, dialogue and discovery workouts, and ancient comments.

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