Writing mathematical proofs
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Authors
Wright, Justin
Date
2020
Type
Book
textbook
text
textbook
text
Language
en_US
Keywords
proofs , IBL , direct proof , proof by contrapositive , proof by contradiction , induction , injection , surjection , bijection , infinite cardinality , Mathematics and sciences
Alternative Title
Abstract
Description
This text is intended to serve as an IBL style workbook to be used in an undergraduate introductory proof writing course. It covers direct, contrapositive, contradiction, biconditional, existence, uniqueness, induction, and set equality proofs while also covering fundamental topics from number theory, elementary real analysis, functions, and sets with infinite cardinality. It is assumed that the audience has attained a degree of mathematical maturity and has had some exposure to sets and logic, but knowledge of calculus or linear algebra is not required.
Citation
Publisher
Plymouth State University