DocumentationMathematicaThe Mathematica BookAdvanced Mathematics in Mathematica
Part 1 described how to do basic mathematics with Mathematica. For many kinds of calculations, you will need to know nothing more. But if you do want to use more advanced mathematics, this Part discusses how to do it in Mathematica.
This Part goes through the various mathematical functions and methods that are built into Mathematica. Some calculations can be done just by using these built-in mathematical capabilities. For many specific calculations, however, you will need to use application packages that have been written in Mathematica. These packages build on the mathematical capabilities discussed in this Part, but add new functions for doing special kinds of calculations.
Much of what is said in this Part assumes a knowledge of mathematics at an advanced undergraduate level. If you do not understand a particular section, then you can probably assume that you will not need to use that section.