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The Full MacTeX

The full MacTeX-2015 install package contains three pieces
TeX Live 2015: the full distribution with over 2 gigabytes of material.
GUI Applications: front ends, utilities, and a small amount of startup documentation.
Ghostscript 9.16

A Smaller Distribution, Basic TeX

BasicTeX is a much smaller alternate TeX Distribution for users who do not want to download the full TeX Live. BasicTeX is a subset of TeX Live of size 100 megabytes instead of 2 gigabytes. BasicTeX does not overwrite the full distribution; it is installed in /usr/local/texlive/2015basic.

To use TeX on the Mac, it suffices to install BasicTeX and a front end. To make life easier for users who want to use BasicTeX instead of the full TeX Live, we include links below to various pieces of MacTeX that can be added as needed.

BasicTeX was designed for easy download by users with limited download speed. The package is remarkably capable. It contains all of the standard tools needed to write TeX documents, including TeX, LaTeX, pdfTeX, MetaFont, dvips, MetaPost, and XeTeX. It contains AMSTeX, the Latin Modern Fonts, the TeX Live Manager to add and update packages from TeX Live, and the new SyncTeX.

BasicTeX.pdf (about the BasicTeX distribution)
BasicTeX is also available via the torrent network.

GUI Programs and Documentation from MacTeX

The GUI section of MacTeX contains five front ends and utilities. These programs are often updated, so it is best to get them directly from their respective web pages. Here are links:
TeXShop, a front end: TeXShop
LaTeXiT, a package which typesets equations to be pasted into Keynote, etc.: LaTeXiT
TeX Live Utility, a program to update and maintain TeX Live: TeX Live Utility
BibDesk, a program to handle bibliographies: BibDesk
Excalibur Spell Checker, a spell checker which understands LaTeX: Excalibur
In addition, this package installs a very small amount of documentation, mainly to explain recent changes or help new users get started. This documentation is available separately as a zipped folder: MacTeX Documents 2015

Ghostscript 9.16 from MacTeX

Ghostscript is not required for pdfLaTeX or XeTeX, but is often useful for converting eps illustrations to other formats, or processing dvi files. This link gives the full install package: Ghostscript-9.16.pkg