[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.

$FrontEndInitializationFunction is a function that you can assign to execute when the front end link is first established by ConnectToFrontEnd[].

 

Important for elliptical shapes and periodic potentials, Mathematica achieves a new level of implementation for Mathieu-related functions, supporting arbitrary-precision ...

Some integer functions. The remainder on dividing 17 by 3. The integer part of 17/3.

Using original algorithms developed at Wolfram Research, Mathematica evaluates error and exponential integral functions anywhere in the complex plane, to arbitrary ...

The built-in Mathematica iteration functions such as Table and Sum evaluate their arguments in a slightly special way. When evaluating an expression like Table[f,{i,i_max}], ...

Mathematica transparently works with complex variables throughout, not only numerically, but also symbolically—often relying on original results to handle intricate branch ...