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A Transition to Proof: An Introduction to Advanced Mathematics
Contributor(s): Nicholson, Neil R. (Author)
ISBN: 0367201577     ISBN-13: 9780367201579
Publisher: CRC Press
OUR PRICE:   $109.25  
Product Type: Hardcover - Other Formats
Published: April 2019
Qty:
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" (1.75 lbs) 450 pages
 
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:

  • The text is aimed at transition courses preparing students to take analysis

  • Promotes creativity, intuition, and accuracy in exposition

  • The language of proof is established in the first two chapters, which cover logic and set theory

  • Includes chapters on cardinality and introductory topology