Inequalities (Mathematica Guide)

Mathematica uses a large number of original algorithms to provide automatic systemwide support for inequalities and inequality constraints. Whereas equations can often be ...

New in 6.0: Mathematical Functions (Mathematica Guide)

Representation of Numbers (Mathematica Guide)

Mathematica handles both integers and real numbers with any number of digits, automatically tagging numerical precision when appropriate. Mathematica internally uses several ...

Trigonometric Expressions (Mathematica Tutorial)

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

Plot Functions of One Variable (Mathematica How To)

Mathematica offers multiple ways of plotting functions of one variable. These include ordinary plots, log plots, parametric plots, and polar plots.

Functions Used in Quantum Mechanics (Mathematica Guide)

Function Approximations Package ... (Function Approximations Package Tutorial)

[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 ...

Working with Special Functions (Mathematica Tutorial)

Some common operations on special functions. Most special functions have simpler forms when given certain specific arguments. Mathematica will automatically simplify special ...

Approximate Functions and Interpolation (Mathematica Tutorial)

In many kinds of numerical computations, it is convenient to introduce approximate functions. Approximate functions can be thought of as generalizations of ordinary ...

Mathieu and Related Functions (Mathematica Tutorial)

Mathieu and related functions. The Mathieu functions MathieuC[a,q,z] and MathieuS[a,q,z] are solutions to the equation y^′′+[a-2qcos(2z)]y0. This equation appears in many ...