A Transition to Proof: An Introduction to Advanced Mathematics (Textbooks in Mathematics)
A Transition to Proof: An Introduction to Advanced Mathematics (Textbooks in Mathematics) (Hardcover) Book Details:
Book Title: | A Transition to Proof: An Introduction to Advanced Mathematics (Textbooks in Mathematics) |
Author: | Nicholson |
ISBN-13: | 9780367201579 |
Publication: | CRC/CH |
Edition: | 1 |
Reprint Year: | 2019 |
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A Transition to Proof: An Introduction to Advanced Mathematics (Textbooks in Mathematics) Book Information:
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 dos and donts", 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
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Higher Education Textbooks
Hardcover
English
Page count varies on each edition/reprint
2019
Textbooks & Study Guides, Higher Education Textbooks Book is recommended for Students, Teachers, Graduates, Professionals, and all bibliophiles
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