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Writing Proofs

Everyone learning to write proofs needs help. I provide some in class. I
have two selected documents covering two different aspects.
- J.M. Lee's guide for students writing
proofs.

- S. Maurer's most common word
errors in student writing. Contrary to what he says,
*f(x) *is **NOT** acceptable as an alternative **name** of
the function *f * in modern mathematical writing. It is
incorrectly used as such only by those who pretend that the 20th Century did
not occur.

I know of only two books that provide solid and practical advice in a useful
form. Both are 415-type textbooks, but neither is used by our department.

*Mathematical Reasoning: Writing and Proof * by Ted Sundstrom. New
York: Pearson, 2006. ISBN 978-0131877184. If you can find it, the first
edition is better.

*Reading, Writing, and Proving: A Closer Look at Mathematics* by
Ulrich Daepp and Pamela Gorkin. New York: Springer, 2011. ISBN
9781441994783. There is a copy in Ablah
Library. Here is a sample tips
section.

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