Overview

Mathematicians do not know in advance if their assertions are true, so they need to verify assertions with rigorous proofs or produce counterexamples, then attempt to salvage the assertions by transforming them into theorems. Extending the Frontiers of Mathematics: Inquiries into Proof and Argumentation invites readers to experience this progression of mathematical discovery. Burger's informal, humorous writing style and intriguing puzzles engage readers throughout the learning process. The innovative text offers a discovery-based approach that is ideal.

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9780470458396

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From the reviews: Extending the Frontiers of Mathematics: Inquiries into Proof and Argumentation a ] offers an attractive and very plausible approach. The level of sophistication seems just about right for first or second-year college students. a ] Although most students who might use this book would have studied calculus, the text is useful for a broader group because only one or two modules require any knowledge of calculus. This is a carefully conceived and well-thought-out approach to the a ~introduction to proofa (TM) course, and ita (TM)s worth a careful look. (William J. Satzer, MathDL, July, 2007)

From the reviews: <p> Extending the Frontiers of Mathematics: Inquiries into Proof and Argumentation a ] offers an attractive and very plausible approach. The level of sophistication seems just about right for first or second-year college students. a ] Although most students who might use this book would have studied calculus, the text is useful for a broader group because only one or two modules require any knowledge of calculus. This is a carefully conceived and well-thought-out approach to the a ~introduction to proofa (TM) course, and ita (TM)s worth a careful look. (William J. Satzer, MathDL, July, 2007)

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