Produced by Charles Wells Revised 20150211 Introduction to this website website TOC website index blog
In science one tries to tell people, in such a way as to be understood by everyone, something that no one ever knew before. But in poetry, it's the exact opposite. Paul Dirac 
Mathematics in the Englishspeaking world is communicated using two languages:
Math in writing and in lectures involve both mathematical English and the symbolic language embedded in each other and referring back and forth to each other.

The languages of math are covered in three chapters, each with several parts. Some things are not covered; see Notes.
Math communication also uses pictures, graphs and diagrams, which abstractmath.org doesn’t discuss.
Also not covered is the history and etymology of mathematical notation.
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