
Advanced Math




Maple 18 includes numerous cuttingedge updates in a variety of branches of mathematics:

Graph Theory


Several improvements and enhancements have been made to the GraphTheory package including the new Latex command for generating code for displaying a graph using the LaTeX picture environment.
For more, see Updates to Graph Theory.






Group Theory


There are numerous improvements for Group Theory, including a new library of Perfect Groups. Other new commands include:
•

Simplify: Simplify the presentation for a group.

>


 (3.1) 
>


 (3.2) 
For more details, see Updates to Group Theory.


Numerical Integration with Cuba Library


Maple 18 provides more methods for numerical integration, adding four routines for highdimensional numerical integration that rely on the Cuba library for mutlidimensional numerical integration. For more details, see the help page for the Cuba library.
Example

>


 (4.1) 
>


 (4.2) 
>


 (4.3) 
>


 (4.4) 





QDifferenceEquations


The QDifferenceEquations package includes two new commands for working with qdifference operators.
>


•

Closure computes the closure in the ring of linear qdifference operators with polynomial coefficients.

>


 (5.1) 
•

Desingularize computes a multiple of a given qdifference operator with fewer singularities.

>


 (5.2) 
For details, see QDifference Equation in Maple 18.


RootOf


There have been several ease of use enhancements made to the function RootOf, including with numeric, interval, and index selectors.
>


 (6.1) 
>


 (6.2) 
>


 (6.3) 
For more on improvements to RootOf in Maple 18, see the RootOf updates page.


Download Help Document
Was this information helpful?