How to incorporate TeX mathematics into a website?

To display mathematics on the web, you have a number of options. There is the MathML standard which has the advantage of being endorsed by the same body that maintains the HTML and CSS standards. This isn't however, LaTeX based. There are tools to translate LaTeX code into MathML.

texmath
LaTeXMathML

There is the "heavy duty" MathJax option. You can either install this on your server or use their CDN.

The simplest approach might be to use something like codecogs to produce images that you just include with html img tags...

here you find an example for MathJaX:

http://latex.userpage.fu-berlin.de/math.html

the source code:

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<html>
<head>
<title>Mathedemo</title>
<script type="text/x-mathjax-config">
  MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
</script>
<script type="text/javascript"
  src="http://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML">
</script>
</head>

<body>
<h2>Math in TeX notation</h2>

When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are
$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$
$$ \begin{array}{rcll}
y & = & x^{2}+bx+c\\
  & = & x^{2}+2\times\dfrac{b}{2}x+c\\
  & = & \underbrace{x^{2}+2\times\dfrac{b}{2}x+\left(\frac{b}{2}\right)^{2}}-
      {\left(\dfrac{b}{2}\right)^{2}+c}\\
  &  & \qquad\left(x+{\dfrac{b}{2}}\right)^{2}\\
  & = & \left(x+\dfrac{b}{2}\right)^{2}-\left(\dfrac{b}{2}\right)^{2}+c 
  & \left|+\left({\dfrac{b}{2}}\right)^{2}-c\right.\\
    y+\left(\dfrac{b}{2}\right)^{2}-c & = & \left(x+
    \dfrac{b}{2}\right)^{2} & \left|\strut(\textrm{vertex form})\right.\\
y-y_{S} & = & (x-x_{S})^{2}\\
S(x_{S};y_{S}) & \,\textrm{or}\, 
    & S\left(-\dfrac{b}{2};\,\left(\dfrac{b}{2}\right)^{2}-c\right)
\end{array} $$

<h2>Math in MathML notation</h2>

When <math><mi>a</mi><mo>&#x2260;</mo><mn>0</mn></math>,
there are two solutions to <math>
  <mi>a</mi><msup><mi>x</mi><mn>2</mn></msup>
  <mo>+</mo> <mi>b</mi><mi>x</mi>
  <mo>+</mo> <mi>c</mi> <mo>=</mo> <mn>0</mn>
</math> and they are
<math mode="display">
  <mi>x</mi> <mo>=</mo>
  <mrow>
    <mfrac>
      <mrow>
        <mo>&#x2212;</mo>
        <mi>b</mi>
        <mo>&#x00B1;</mo>
        <msqrt>
          <msup><mi>b</mi><mn>2</mn></msup>
          <mo>&#x2212;</mo>
          <mn>4</mn><mi>a</mi><mi>c</mi>
        </msqrt>
      </mrow>
      <mrow> <mn>2</mn><mi>a</mi> </mrow>
    </mfrac>
  </mrow>
  <mtext>.</mtext>
</math>
</body>
</html>

I'll add two math rendering alternatives only for reference purposes. Personally, I prefer to stick with either MathML or MathJaX.

Both MimeTeX and MathTeX are cgi programs written in C.

MimeTeX

MimeTeX, licensed under the gpl, lets you easily embed LaTeX math in your html pages. It parses a LaTeX math expression and immediately emits the corresponding gif image, rather than the usual TeX dvi. And mimeTeX is an entirely separate little program that doesn't use TeX or its fonts in any way. It's just one cgi that you put in your site's cgi-bin/ directory, with no other dependencies. So mimeTeX is very easy to install. And it's equally easy to use. Just place an html <img> tag in your document wherever you want to see the corresponding LaTeX expression. For example,

<img src="../cgi-bin/mimetex.cgi?f(x)=\int_{-\infty}^xe^{-t^2}dt"
 alt="" border=0 align=middle>

immediately generates the corresponding gif image on-the-fly, displaying wherever you put that <img> tag. MimeTeX doesn't need intermediate dvi-to-gif conversion, and doesn't create separate gif files for each converted expression. (But you can cache images with mimeTeX's -DCACHEPATH=\"path/\" compile option.)

MathTeX

MathTeX, licensed under the gpl, is a cgi program that lets you easily embed LaTeX math in your own html pages, blogs, wikis, etc. It parses a LaTeX math expression and immediately emits the corresponding gif (or png) image, rather than the usual TeX dvi. So just place an html <img> tag in your document wherever you want to see the corresponding LaTeX expression. For example,

<img src="/cgi-bin/mathtex.cgi?f(x)=\int_{-\infty}^xe^{-t^2}dt"
 alt="" border=0 align="middle">

immediately generates the corresponding gif, displaying wherever you put that <img> tag.

mathTeX dependencies

MathTeX's uses the latex and dvipng programs, along with all necessary fonts, etc, from your TeX distribution. Occasionally, you may need to download dvipng separately. If you can't, or don't want to, install dvipng, then you may optionally specify the –DDVIPS and –DCONVERT switches when compiling mathTeX. Then mathTeX uses dvips from your TeX distribution, and convert from the ImageMagick package, instead of dvipng.

[...]

These dependencies - always latex and either dvipng or dvips/convert - must all be installed on your server before you can run mathTeX. Ask your ISP or sysadmin if you have any questions or problems installing them. Or see mimeTeX if you can't install them.

How to incorporate TeX mathematics into a website?

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