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Remarks on Expository Writing in Mathematics (2004) [pdf]

math.uiuc.edu

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Re: Remarks on Expository Writing in Mathematics (2004) [pdf]

#5
> many advanced areas of mathematics are inaccessible to most students because no satisfactory exposition exists

What is considered a satisfactory exposition also depends highly on the maturity of the reader. Not in the technical content of a specific area, but in the maturity of their mathematical reading skills needed for that area. This comes up a lot in algebraic geometry, where every student hits a wall when reading the central textbooks. The books are not necessarily hard because the author doesn't have a specialty in teaching and expository writing. Rather, the author is trying to induct the reader into a way of thinking specific to that field and the communication tools they use.

Re: Remarks on Expository Writing in Mathematics (2004) [pdf]

#6
post #4
post #3

Earlier quoted context omitted.

The metadata in the file says 2004: CreationDate (D:20041122195023)

I believe it is cited in earlier sources, though.

First time it appears in the author's page is November 25, 2004: https://web.archive.org/web/20041125085351/http://www.math.u...

Re: Remarks on Expository Writing in Mathematics (2004) [pdf]

#7
> I hope to see a change in the reward structure and system of values at research-oriented universities so that teaching and expository writing become legitimate as a specialty.

This is a problem in many fields. Teaching and exposition are often seen as low-value distractions from research, the type of work better left to "lesser" scholars (graduate students, non-tenure track faculty). Many mediocre researchers would be stellar teachers but you are more respected (and better paid) for research.

Re: Remarks on Expository Writing in Mathematics (2004) [pdf]

#8
post #6
post #4

Earlier quoted context omitted.

I believe it is cited in earlier sources, though.

First time it appears in the author's page is November 25, 2004: https://web.archive.org/web/20041125085351/http://www.math.u...

Ok, 2004 wins.