Mathematica 8 adds major new areas, including probability and statistics, graphs and networks, computational finance, control systems, wavelet analysis, and group theory. ...
MaximalIndependentVertexSet[g] gives a maximal independent vertex set of an undirected graph g.MaximalIndependentVertexSet[g, w] gives a maximal independent vertex set of g ...
EulerianGraphQ[g] yields True if the graph g is Eulerian, and False otherwise.
DateFunction is an option for DateListPlot that specifies how dates given as input should be converted to date lists.
EdgeShapeFunction is an option and property for Graph and related functions that specifies a function to use to generate primitives for rendering each edge.
VertexInComponent[g, {v_1, v_2, ...}] gives the vertices in the graph g that have a directed path to at least one of v_1, v_2, ....VertexInComponent[g, {v_1, v_2, ...}, k] ...
StationaryWaveletTransform[data] gives the stationary wavelet transform (SWT) of an array of data.StationaryWaveletTransform[data, wave] gives the stationary wavelet ...
VertexStyle is an option and property for Graph and related functions that specifies what style to use for vertices.
KirchhoffMatrix[g] gives the Kirchhoff matrix of the graph g.
Automatically selecting between hundreds of powerful and in many cases original algorithms, Mathematica provides both numerical and symbolic solving of differential equations ...