Mathematica 8 adds major new areas, including probability and statistics, graphs and networks, computational finance, control systems, wavelet analysis, and group theory. ...
ComplexInfinity represents a quantity with infinite magnitude, but undetermined complex phase.
LaplaceTransform[expr, t, s] gives the Laplace transform of expr. LaplaceTransform[expr, {t_1, t_2, ...}, {s_1, s_2, ...}] gives the multidimensional Laplace transform of ...
WeierstrassSigma[u, {g_2, g_3}] gives the Weierstrass sigma function \[Sigma](u; g_2, g_3).
Function[body] or body & is a pure function. The formal parameters are # (or #1), #2, etc. Function[x, body] is a pure function with a single formal parameter x. ...
ArcCsc
(Built-in Mathematica Symbol) ArcCsc[z] gives the arc cosecant csc -1 (z) of the complex number z.
ArcSec
(Built-in Mathematica Symbol) ArcSec[z] gives the arc secant sec -1 (z) of the complex number z.
Assuming[assum, expr] evaluates expr with assum appended to $Assumptions, so that assum is included in the default assumptions used by functions such as Refine, Simplify, and ...
Boole
(Built-in Mathematica Symbol) Boole[expr] yields 1 if expr is True and 0 if it is False.
ClickPane[image, func] represents a clickable pane that displays as image and applies func to the x, y coordinates of each click within the pane.ClickPane[image, {{x_min, ...