{algorithms} is about the presentation, numbering, and layout of algorithms or pseudocode in documents. Popular packages are algorithms, {algorithmicx}, {algorithm2e} and {listings}. For questions about the specific package, use the appropriate tag instead.
algorithms is about the presentation, numbering, and layout of algorithms or pseudocode in documents. Typical packages (with links to CTAN copy of package documentation) could include:
algorithms
bundle for thealgorithmic
andalgorithm
environments
There are examples of algorithm representationcin the LaTeX wikibook and in the answer to the question on this site what is a good package for displaying algorithms?.
For TeX's internal algorithms see programming.