Package edu.jas.integrate

package edu.jas.integrate

Elementary Integration package.

This package contains classes for elementary integration of (univariate) polynomials and rational functions.

The implementation follows Bronstein Symbolic Integration I - Transcendental Functions.

Heinz Kredel

Last modified: Fri Nov 27 22:23:52 CET 2009

$Id$

Classes

Class	Description
ElementaryIntegration<C extends GcdRingElem<C>>	Methods related to elementary integration.
ElementaryIntegrationBernoulli<C extends GcdRingElem<C>>	Methods related to the Bernoulli algorithm for elementary integration.
ElementaryIntegrationCzichowski<C extends GcdRingElem<C>>	Method related to elementary integration.
ElementaryIntegrationLazard<C extends GcdRingElem<C>>	Method related to elementary integration.
Examples	Examples related to elementary integration.
ExamplesMore	More examples for integrating rational functions.
Integral<C extends GcdRingElem<C>>	Container for a rational function integral, polynomial version. integral(num/den) = pol + sum_rat( rat_i/rat_{i+1} ) + sum_log( a_i log ( d_i ) )
LogIntegral<C extends GcdRingElem<C>>	Container for the logarithmic part of a rational function integral. num/den = sum( a_i ( der(d_i) / d_i ) ) integrate(num/den) = sum( a_i log ( d_i ) )
QuotIntegral<C extends GcdRingElem<C>>	Container for a rational function integral, quotient version . integral(num/den) = pol + sum_rat( rat_i/rat_{i+1} ) + sum_log( a_i log ( d_i ) )