I've always been interested how to write maths properly. Depending of the knowledge of the reader, you can't solve every detail of a proof of a theorem. You have to show the most important facts, unless your proof turns out tedious and languish. I'm writing a little paper about this to my students and I would like to know some authors who discuss about this, I need some references.
Books or authors who write about how to write mathematics properly
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1I only know this by reference and haven't looked at it, but maybe take a look at: Nicholas J. Higham, *Handbook of Writing for the Mathematical Sciences*, SIAM 1998. – 2017-01-04
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1I've seen this Halmos piece referenced before: http://www.math.washington.edu/~lind/Resources/Halmos.pdf – 2017-01-04
2 Answers
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Jean Pierre Serre is in some sense a reference on good article writing. I would watch the awesome lecture of him "How to write mathematics badly". Gives very good insights that you could pass to your students.
I would also suggest Mathematical Writing, of Donald Knuth
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See these books:
A Primer of Mathematical Writing by Steven G. Kranz.
Handbook of Writing for the Mathematical Sciences by Nicholas J. Hingham.