eBook - ePub

A Transition to Proof

Name: A Transition to Proof
ISBN: 9780429535475

An Introduction to Advanced Mathematics

Neil R. Nicholson,

450 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

A Transition to Proof

An Introduction to Advanced Mathematics

Neil R. Nicholson,

About this book

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

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Yes, you can access A Transition to Proof by Neil R. Nicholson in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.