Simplifying Algebraic Expressions (Mathematica Tutorial)

There are many situations where you want to write a particular algebraic expression in the simplest possible form. Although it is difficult to know exactly what one means in ...

Entering Formulas (Mathematica Tutorial)

Special forms for some common symbols. This is equivalent to Sin[60Degree]. Here is the long form of the input.

GenerateConditions (Built-in Mathematica Symbol)

GenerateConditions is an option for Integrate, Sum, and similar functions that specifies whether explicit conditions on parameters should be generated in the result.

Functions of Complex Variables (Mathematica Guide)

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

FourierTransform (Built-in Mathematica Symbol)

FourierTransform[expr, t, \[Omega]] gives the symbolic Fourier transform of expr. FourierTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...

Computational Geometry (Mathematica Guide)

Mathematica's strengths in algebraic computation and graphics as well as numerics combine to bring unprecedented flexibility and power to geometric computation. Making ...

EllipticE (Built-in Mathematica Symbol)

EllipticE[m] gives the complete elliptic integral E(m). EllipticE[\[Phi], m] gives the elliptic integral of the second kind E(\[Phi] \[VerticalSeparator] m).

FresnelS (Built-in Mathematica Symbol)

FresnelS[z] gives the Fresnel integral S(z).

EllipticPi (Built-in Mathematica Symbol)

EllipticPi[n, m] gives the complete elliptic integral of the third kind \[CapitalPi] (n \[VerticalSeparator] m). EllipticPi[n, \[Phi], m] gives the incomplete elliptic ...

FresnelC (Built-in Mathematica Symbol)

FresnelC[z] gives the Fresnel integral C(z).