A few Wikipedians have gotten together to make some suggestions about how we might organize data in articles about mathematics. These are only suggestions, things to give you focus and to get you going, and you shouldn't feel obligated in the least to follow them. But if you don't know what to write or where to begin, following the below guidelines may be helpful. Mainly, we just want you to write articles!

Title WikiProject Mathematics
Scope This WikiProject aims primarily to organize articles in the area of mathematics; in its broadest terms, this may include overlap into the areas of physics, computer science, operations research, and other areas.
The goals of this WikiProject are:
Probably the hardest part of writing a mathematical article (actually, any article) is the difficulty of addressing the level of mathematical knowledge on the part of the reader. For example, when writing about a field, do we assume that the reader already knows group theory? A general approach is to start simple, then move toward more abstract and general statements as the article proceeds. The structure described below is one way of achieving this.
When you need to describe a concept in terms of some other concept (for example, explaining rational numbers in terms of integers), be sure to:
If the relevant article has not been written yet, then create a good stub, and list it on the list of mathematical topics (see below)  the odds are good that someone will expand on it.
Since some terminology varies from author to author in the literature, you can check the Wikipedia article on an ambiguous term (if one exists) to see what usage is established here (or to see if you want to try to change that).
It's worth a bit of time to just peruse what's already in the 'pedia; this will give you a feel for what type of information is already available, and how much detail you need to provide.
Proofs This is an encyclopedia, not a collection of math texts; but we often want to include proofs, as a way of really exposing the meaning of some theorem, definition, etc. A downside of including proofs is that they may interrupt the flow of the article, whose goal is usually expository. Use your judgement; as a rule of thumb, include proofs when they are part of an explanation; don't include them when they are a justification whose conclusion is merely "... therefore, P is true".
Since many readers will want to skip proofs, it is a good idea to set them apart in some way, for instance by giving them a separate section.
As with proofs, examples should be included where appropriate. Most of the time, they should be put on a separate section or separate page.
Suggested structure of a mathematics article Mathematical articles typically rely highly on an exact definition of the article title; but in general a definition only begins the process of explaining the idea under consideration.
A general format that seems to be working well is as follows:
If you are having difficulty understanding this article, you might want to learn more about functions and naive set theory firstfollowed by a horizontal rule to separate it from the rest of the article.
In topology and related branches of mathematics, a continuous function is, loosely speaking, a function from one topological space to another which preserves open sets. Originally, the idea of continuity was a generalization of the informal idea of smoothness[?], or lack of discontinuity[?]. The first statement of the idea of continuity was by Euler in 1784, relating to plane curves. Other mathematicians, including Bolzano and Cauchy, then refined and extended the idea of continuity. Continuous functions are the raison d'être of topology itself.
Let S and T be topological spaces, and let f be a function from S to T. Then f is called continuous if, for every open set O in T, the preimage f ^{1}(O) is an open set in S.
Typesetting of mathematical formulas Wikipedia allows to typeset mathematical formulas in (a subset of) LaTeX markup; the formula is normally translated into a PNG image which is included into the text. For the mechanics of this, see Wikipedia:TeX markup.
The LaTex formulas work inline (like this: <math>\mathbf{x}\in\mathbb{R}^2</math>) as well as displayed on their own line:
The former inline method is generally discouraged, for several reasons:
When displaying formulas on their own line, we indent the line with one or more colons (:); the above was typeset as
:<math>\int_0^\infty e^{x^2}\,dx</math>
If you find an article which indents lines with spaces in order to achieve some formula layout effect, you should convert the formula to LaTeX markup.
If you plan on editing LaTeX formulas, it is helpful if you leave your preference settings (link in the upper right corner of this page, underneath your user name) in the "rendering math" section at the default "HTML if very simple or else PNG"; that way, you'll see the page like most users will see it.
The following sections cover the way of presenting simple inline formulas in HTML:
''
, i.e., apostropheapostrophe) rather than italic text (with the <i>
tag, resembling HTML), since the former is easier to type and read in the edit box. Some prefer using the HTML "variable" tag, <var>
, since it provides semantic meaning to the text contained within. Which method you choose is entirely up to you, but in order to keep with convention, we recommend the doubleapostrophe emphasis method. Thus we write:
''x'' = (''y''<sup>2</sup> + 2)
which results in:
Note that the parentheses, equals and plus signs are not emphasized; try to keep them outside of the doublequoted sections.
Fixed names for functions, such as sin and cos, are not emphasized, but we emphasize f when we define the function by f(x) = sin(x) cos(x).
Sets are usually written in upper case, and emphasized; for example:
would be written:
''A'' = {''x'' : ''x'' > 0}
Greek letters should not be emphasized; for example, as in λ + ''y'' = π''r''<sup>2</sup>
, for the expression "λ + y = πr^{2}".
Commonly used sets of numbers are typeset in boldface, as in the set of real numbers R; see Blackboard bold for the types in use. Again, typically we use three apostrophes ('''
) rather than the <b>
tag for bolding.
Other special formatting In many math textbooks, formalized statements, axioms, or theorems are often set apart in a box, perhaps with a colored background. Some Wikipedia editors have experimented with similar formatting in mathematical articles. For example, the Continuum hypothesis, when stated formally, could be formatted using the following Wikipedia code:
<blockquote style="padding: 1em; border: 2px dotted purple;"> There is no set whose size is strictly between that of the integers and that of the real numbers. </blockquote>
The above is rendered like this in your browser:
There is no set whose size is strictly between that of the integers and that of the real numbers.
Graphical browsers which support Cascading style sheets should render the above in an indented box, surrounded by a purple dotted line. This formatting technique helps set apart the most important statements in mathematical articles. Again, whether you do this is entirely up to you; it's just something a few of Wikipedia's editors have found to be helpful in making math articles clearer.
Some useful links and resources Diagrams are often a great help in explaining mathematical concepts; User:Chas_zzz_brown (amongst others) would be happy to create them (given time, ability, etc.).
The article List of mathematical topics is used by contributors to keep track of changes to the entire content of mathematics in Wikipedia, in a fashion similar to the more general "Recent Changes" link. If you add new articles which are remotely related to mathematics (including biographies of mathematicians, and so on), please add them to that list, so that everyone can review / add to / mercilessly savage your contributions.
The list of topics is also a useful place to check to see what other material on Wikipedia already exists that you can use to link with your material. This helps reduce the effort of defining terms and proving statements; and can help reduce the duplication of definitions and proofs.
Other lists of topics for subdisciplines:
See also Wikipedia talk:Naming conventions (theorems)
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