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http://www.polymath-software.com/

     
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POLYMATH is a proven computational system, which has been specifically created for educational or professional use. The various POLYMATH programs allow the user to apply effective numerical analysis techniques during interactive problem solving on personal computers. Results are presented graphically for easy understanding and for incorporation into papers and reports. Students, engineers, mathematicians, scientists, or anyone with a need to solve problems will appreciate the efficiency and speed of problem solution.

Complete information on the software is always available under the Contents option on the HELP menu.

Here is an overview of what Polymath can do:
http://www.polymath-software.com/overview/

Problem solving capabilities include:

  • Linear Equations - up to 200 simultaneous equations (to 64 with very convenient input).

  • Nonlinear Equations - up to 200 simultaneous nonlinear and explicit algebraic equations.

  • Differential Equations - up to 200 simultaneous ordinary differential and explicit algebraic equations.

  • Data analysis and Regression - up to 600 data points with capabilities for linear, multiple linear, and nonlinear regressions with extensive statistics plus polynomial and spline fitting with interpolation and graphing capabilities.