AoPSWiki
Want to learn how to tackle those tough AMC/AIME/Olympiad algebra problems? Check out Art of Problem Solving's Intermediate Algebra by Richard Rusczyk and Mathew Crawford. Over 1600 problems!

Mathematical convention

From AoPSWiki

Revision as of 00:40, 30 December 2008 by Complex Ninja (Talk | contribs)
(diff) ← Older revision | Current revision (diff) | Newer revision → (diff)

A mathematical convention is a fact, name, notation, or usage which is generally agreed upon by mathematicians. For instance, the fact that one evaluates multiplication before addition in the expression 2 + 3\times4 is merely conventional: there is nothing inherently significant about the order of operations. Mathematicians abide by conventions in order to allow other mathematicians to understand what they write without constantly having to redefine basic terms. (Imagine if every mathematical paper began with an explanation of BEMDAS!)

Nearly all mathematical names and symbols are conventional. The longer a name or notation has been in use, the more likely it is to become a mathematical convention. Unfortunately, some notational questions stubbornly refuse to develop conventional solutions, usually because two or more competing conventions achieve wide-spread usage. See, for example, the article on the Natural numbers.


Alternate meaning

In English, a convention is also "a place where people convene, or come together." Thus, the phrase "mathematical convention" is also used to denote a convention whose purpose is mathematical. For instance, Mu Alpha Theta describes its yearly gatherings as conventions.

Want to learn how to tackle those tough AMC/AIME/Olympiad algebra problems? Check out Art of Problem Solving's Intermediate Algebra by Richard Rusczyk and Mathew Crawford. Over 1600 problems!
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us