Numerical Evaluation & Precision
In two decades of intense algorithmic development, the Wolfram Language has established a new level of numerical computation. Particularly notable are its many original highly efficient algorithms, its methodology for automatic algorithm selection, and its systemwide support for automatic error tracking and arbitrary-precision arithmetic.
N — numerical evaluation to any precision
Major Numerics Functions
NSolve ▪ NDSolve ▪ NIntegrate ▪ NMinimize ▪ NSum
Complex Numbers »
I() ▪ Abs ▪ Re ▪ Im ▪ Conjugate ▪ ...
Representation of Numbers »
IntegerDigits ▪ RealDigits ▪ FromDigits ▪ IntegerQ ▪ ...
Display of Numbers »
NumberForm ▪ NumberMarks ▪ InputForm ▪ CForm ▪ ...
Precision & Accuracy Control »
Precision ▪ Accuracy ▪ PrecisionGoal ▪ AccuracyGoal ▪ ...
Algorithm Control & Analysis
Method ▪ StepMonitor ▪ EvaluationMonitor ▪ Norm
Compiled — control machine-precision compilation optimization