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Summa: Symbolic Sums Manipulation

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The package Summa.m provides a few basic functions that allow the user to handle sums with symbolic, infinite, and numerical endpoints without having Mathematica evaluate them at every step. Two functions allows the user to enable and disable automatic evaluation of Sums. This is useful to perform basic operation such as simplification, reindexing, and term by term differentiation on sums and series. The package was originally designed as an aid in solving ordinary differential equations via the power method. It can also be used for the mere typesetting of formulae containing sums.

Summa.m is accompanied by five notebooks:
  1. Usage.nb : Illustrates the basic usage of the package.
  2. Examples.nb : Illustrates a few application examples.
  3. Power.nb : Contains a few simple examples of the application of symbolic sum manipulation to the resolution of ODEs with the power series method and the Frobenius method.
  4. Basic_Override.nb : Explains how Summa.m overrides the built-in evaluator.
  5. Summa.nb : Explains the choices made in writing the package.
This package and set of notebooks was updated by the author 31 March 2005.

*Mathematics > Calculus and Analysis > Calculus
*Mathematics > Calculus and Analysis > Differential Equations
*Mathematics > Calculus and Analysis > Series
*Wolfram Technology > Front End > Typesetting

power method, symbolic sums, infinite sums, summa, power series method, frobenius method, series solutions of ODE
Downloads Download Wolfram CDF Player

3336.zip (114.5 KB) - Zip of package and all notebooks
Basic_Overriding.nb (20.9 KB) - Mathematica Notebook
Examples.nb (71.3 KB) - Mathematica Notebook
PowerM.nb (272.2 KB) - Mathematica Notebook
Summa.m (35.4 KB) - Mathematica Package
Summa.nb (139.6 KB) - Mathematica Notebook
Usage.nb (144.5 KB) - Mathematica Notebook