Choosing appropriate notation is an important aspect of mathematical communication.

Notation should

- be simple
- be memorable
- conform to conventions

Information about using notation in mathematics is presented in the following resources:

- Leonard Gillman’s “The Use of Symbols: A Case Study,”
*Writing Mathematics Well: A Manual for Authors*, The MAA, 1987, pp 37-44.

A case study of how to simplify the notation in a symbol-laden article. - Atish Bagchi and Charles Wells’ “On the Communication of Mathematical Reasoning,”
*PRIMUS*vol. 8, pages 15-27 (1998).

This article addresses conventions and pitfalls related to various aspects of notation and wording. - Eric Schechter’s “Common Errors in College Math”

This online compendium of common student errors includes many examples relating to notation and to expressing mathematics symbolically. - Stephen Maurer’s
*Undergraduate Guide to Writing Mathematics*discusses notation in many places, including the sections “Expressions and Statements” (9.7), “Symbols and Fonts” (9.17), “Words or Symbols?” (9.21), and in the appendix of Symbol Tables. - Undergraduates often have difficulty translating between notation and “natural language.” To help students with this difficulty, see this lesson plan about translating between notation and words from M.I.T.’s communication-intensive offering of
*Real Analysis*. - Michael Downes’ Short Math Guide for LaTeX explains how to use LaTeX to set notation, and includes occasional commentary about when certain notation should be used.
- “Mathematics as a Language” from the website
*Cut the Knot*

This blog points out the power of mathematical notation by comparing the original statements of some theorems to their statements using modern notation. - “Mathematical Notation: Past and Future” by Stephen Wolfram, 2000. Transcript of a keynote address presented at
*MathML and Math on the Web: MathML International Conference 2000*

Please feel free to contribute additional resources for this page (e.g., a glossary of symbols providing common meanings of various symbols in different areas of mathematics).