These notes are from the 2018 version of the course. A significantly expanded new version will be made available once the 2019 course starts. 🤓

Language in general is rich and versatile—think of novels and poetry and jargon. Mathematical English is anything but.

The task of written mathematics is to be clear and precise in conveying the underlying ideas. To achieve this, mathematical English has developed a range of conventional “phrase-patterns” used when speaking and writing.

In this lecture, we discuss the common phrase-patterns used in mathematical exposition.