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Long recognized as the world's most powerful mathematical software system, Mathematica has steadily grown in breadth and depth to become today an unparalleled platform for all forms of computation.
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With thousands of original algorithms and a tightly unified overall design, Mathematica spans projects of all sizes—from simple calculator operations and educational demonstrations to large-scale systems deployment and maximum-power supercomputing.
For complete features how Mathematica 6 can improve your work, please visit: http://www.wolfram.com/products/mathematica/features/.
Wide Range of Uses
Handling
complex symbolic calculations that often involve hundreds of
thousands or millions of terms
Loading, analyzing, and visualizing data
Solving equations, differential equations, and minimization problems numerically or symbolically
Doing numerical modeling and simulations, ranging from simple control systems to galaxy collisions, financial derivatives, complex biological systems, chemical reactions, environmental impact studies, and magnetic fields in particle accelerators
Facilitating rapid application development (RAD) for engineering companies and financial institutions
Producing professional-quality, interactive technical reports or papers for electronic or print distribution
Illustrating mathematical or scientific concepts for students from K-12 to postgraduate levels
Typesetting technical information--for example, for U.S. patents
Giving technical presentations and seminars
Usually Mathematica is used with its notebook interface directly as it comes out of the box. However, it is increasingly being used through alternative interfaces such as a web browser or by other systems as a back-end computational engine.
Some of these uses require in-depth Mathematica knowledge, while others do not. Mathematica is unusual in being operable for less involved tasks as well as being the tool of choice for leading-edge research, performing many of the world's most complex computations. It is Mathematica's complete consistency in design at every stage that gives it this multilevel capability and helps advanced usage evolve naturally.
At a superficial level,
Mathematica is an amazing, yet easy-to-use calculator. The
world's most comprehensive set of mathematical, scientific,
engineering, and financial functions is ready-to-use--often with
just one mouse click or command. However, Mathematica
functions
work for any size or precision of number, compute with symbols, are
easily represented graphically, automatically switch algorithms to get the best
answer, and even check and adjust the accuracy of their own results.
This sophistication means trustworthy answers every time, even for
those inexperienced with the mechanics of a particular calculation.
While working through calculations, a notebook document keeps a complete report: inputs, outputs, and graphics in an interactive but typeset form. Adding text, headings, formulas from a textbook, or even interface elements is straightforward, making online slide show, web, XML, or printed presentation immediately available from the original material. In fact, with notebook document technology, a fully customized interface can easily be provided so that recipients can interact with the content. The notebook is a fully featured, fully integrated technical document-creation environment.
The move from immediate calculations to programmed computations can occur evolutionarily. Just one line makes a meaningful program in Mathematica--the methodology, syntax, and documents used for input and output remaining as they are for immediate calculations.
Mathematica is also a robust software development environment. Mathematica packages can be debugged, encapsulated, and wrapped in a custom user interface, all from within the Mathematica system. Alternatively, Java, C, or links to a proprietary system can use Mathematica's power behind the scenes.