A Transition to Proof: An Introduction to Advanced Mathematics Contributor(s): Nicholson, Neil R. (Author) |
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ISBN: 0367201577 ISBN-13: 9780367201579 Publisher: CRC Press
Binding Type: Hardcover - See All Available Formats & Editions Published: April 2019 Click for more in this series: Textbooks in Mathematics |
Additional Information |
BISAC Categories: - Mathematics | Set Theory - Mathematics | Functional Analysis - Mathematics | Logic |
Dewey: 511.36 |
LCCN: 2018061558 |
Series: Textbooks in Mathematics |
Physical Information: 1.2" H x 6.5" W x 9.3" L (1.75 lbs) 450 pages |
Features: Bibliography, Illustrated, Index |
Descriptions, Reviews, Etc. |
Publisher Description: A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do's and don'ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof. Features:
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