• Free-form input: enter plain English and get immediate results without the need for syntax

• Wolfram|Alpha integration: access to 10 trillion ready-to-compute datasets

• Statistics: the broadest statistical distributions and data visualization capabilities available today

• Software development: built-in GPU programming support, high-performance C code generation, SymbolicC support, and expanded parallel processing

• Engineering/R&D: integrated control systems and wavelets functions

• Finance: built-in option pricing solvers, financial indicators, and charts

• Image processing: enhanced image analysis capabilities, such as feature detection

Mathematica 6.0 fundamentally redefines Mathematica and introduces a major new paradigm for computation. Building on Mathematica's time-tested core symbolic architecture, Version 6.0 adds nearly a thousand new functions—almost doubling the total number of functions in the system—dramatically increasing both the breadth and depth of Mathematica's capabilities, as well as introducing hundreds of major original algorithms, and perhaps a thousand new ideas, large and small.

(No trial download, linked to Experience Mathematica page)