TeXnicCenter is a LaTeX editor that requires MiKTeX for compilation. Users need to download MiKTeX separately and configure TeXnicCenter to recognize it. To create a new document, users should click "File" and then "New" to start typing their code. Basic LaTeX structure is necessary, starting with commands like \documentclass and \begin{document}. For mathematical expressions, commands must be enclosed in dollar signs, such as $\frac{324}{\pi}$. Errors often arise from incorrect syntax or missing commands. Resources like the LaTeX project guides and the "(Not So) Short Guide to LaTeX 2E" are recommended for beginners, although WYSIWYG editors like LyX can simplify the process.