Writing Mathematics
Using the Equation Editor
To access the equation editor in Microsoft Word, go to the Insert menu and choose Object... You should see a list that includes some version of Microsoft Equation. Note: If you see it at any point, turn off “float over text” before clicking OK.
An empty window and a palette of mathematical symbol menus will appear.
Most of these are selfexplanatory. Mouse over an area, and a description of each will appear:
relational symbols 
spaces, ellipses 
primes, dots, hats 
operators 
arrows 
logical symbols 
set symbols 
miscellaneous symbols 
lower case Greek 
upper case Greek 
parentheses 
fractions, roots 
sub / super scripts 
sums 
integrals 
over / under bars 
labeled arrows 
product, union, intersect 
matrices 

Each is actually a menu with many choices.
Example: To build the inequality
If you forget something, just use the mouse to click where you want to put it and then get it out of the appropriate menu. When finished, click the close box in the upper left corner of the window and the equation will appear in the document wherever you had your cursor.
If your equation is “floating” around (i.e., float over text is enabled), you can disable it for your equation by clicking once on the equation to select it and the choosing Object... from the Format menu. Page through the choices in this window to find and disable “float over text.” This way you control exactly where your equation appears.
Customizing the Editor – Sometimes the font styles or sizes are not set to match your preferences. To change the styles, go to the style menu in the equation editor and choose define... To change the sizes, go to the size menu and choose define... A word of caution here. The defaults are actually pretty good. If you are going to change style, fine, but mathematical constants and variables should always be in italics. Also, sizes for subscripts should be smaller than standard text and subsubscripts smaller still.
Pointers on Writing Style
First and foremost: Always know your audience. Write in enough detail to convince that person you have addressed the topic at hand.
Here are some tips from the American Mathematical Society’s Manual for Authors of Mathematical Papers:
Journal (including volume number and year):
3. J. Doe, D. Reck and R. Buell, Summability of Fourier Series, Pacific J. Math. 12 (1960), 232257.
Book:
3. J. Doe, Introduction to Fourier Series, 2^{nd} ed., Wiley and Sons, Inc., 1965.
Book that is part of a series (including the number in the series if there is one):
3. J. Doe, Introduction to Fourier Series, 2^{nd} ed., Classical Texts in Mathematics 10, Wiley and Sons, Inc., 1965.
If not numbered, reference in the text as [Doe, pp 231240], and put the first author in the bibliographic entry last name first and then first initial. If preferred, you can spell out first names, but be consistent.