Functions relating real numbers and integers. Extracting integer and fractional parts. IntegerPart[x] and FractionalPart[x] can be thought of as extracting digits to the left ...

Built into Mathematica are state-of-the-art constrained nonlinear fitting capabilities, conveniently accessed with models given directly in symbolic form. Mathematica also ...

 

The Experimental Functions Package contains functions that are being considered for official inclusion in future versions of Mathematica.

Matrices are represented in Mathematica with lists. They can be entered directly with the { } notation, constructed from a formula, or imported from a data file. Mathematica ...

Functions for manipulating trigonometric expressions. This expands out a trigonometric expression. This factors the expression.

Unless f is a flat function, a pattern like f[x_,y_] stands only for instances of the function with exactly two arguments. Sometimes you need to set up patterns that can ...

[1] Hairer, E. and G. Wanner. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer, 1991. [2] Iserles, A. and S. P. Nørsett. Order ...

"Values for Symbols" discussed how you can use transformation rules of the form x->value to replace symbols by values. The notion of transformation rules in Mathematica is, ...

InverseFunctions is an option for Solve and related functions that specifies whether inverse functions should be used.