From simple calculator operations to large-scale
programming and interactive-document preparation,
Mathematica is the tool of choice at the frontiers
scientific research, in engineering analysis and
modeling, in technical education from high school to
graduate school, and wherever quantitative methods are
used.

You probably know Mathematica by name. Or you may be
one of nearly two million users. But do you really
know the breadth of capabilities Mathematica can o
you? Whatever you're working on--calculating,
programming, learning, documenting or
developing--Mathematica is equipped to help.

Mathematica seamlessly integrates a numeric and
symbolic computational engine, graphics system,
programming language, documentation system, and
advanced connectivity to other applications. It is
this range of capabilities--many world-leading in
their own right--that makes Mathematica uniquely
capable as a "one-stop shop" for you or your
organization's technical work.

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
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

Works at All Levels

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.

Fully Featured, Fully Integrated

At a superficial level, Mathematica is an amazing, yet
easy-to-use calculator. The world's most comprehen
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.

Easy Programming, Powerful Results

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.

One Unifying Idea

Symbolic programming is the underlying technology that
provides Mathematica this unmatched range of
abilities. It enables every type of object and every
operation--be they data, functions, graphics,
programs, or even complete documents--to be
represented in a single, uniform way as a symbolic
expression. This unification has many practical
benefits from ease of learning to broadening the scope
of applicability of each function. The raw algorithmic
power of Mathematica is magnified and its utility
extended.

http://www.wolfram.com/products/mathematica/newin5

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