A Transition to Proof: An Introduction to Advanced Mathematics

1st Edition

Neil R. Nicholson

Chapman and Hall/CRC
May 7, 2019 Forthcoming
Textbook - 384 Pages - 39 B/W Illustrations
ISBN 9780367201579 - CAT# K418481
Series: Textbooks in Mathematics

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Summary

Mathematics is and can be creative. The author describes writing proofs as a creative process. He writes at length about the “intuitive” level of knowing a definition. The importance of definitions is reiterated multiple times in the book. The author’s urges students to work to define their mathematical voice. Proofs can be personalized. Both style tips and strict “mathematical do’s and don’ts” are pulled out and presented in “text-boxes” throughout the text. Common mistakes are discussed and reasoned throughout. The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence.

 

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