# MTN Issue 8, Fall 1992

## Extended Functionality (Maple V Release 2)

**Extended Capabilities for Computing with Algebraic Functions
and Numbers**

*Marc Rybowicz*
- This article describes Marc's improvements to Maple's
capabilities for computing with algebraic functions and numbers. This
includes upgrading and extensions of functions available in Maple V
and better capabilities for indefinite integration.
**Exact Eigenvalue and Eigenvector Computation in Maple**

*Michael N. Monagan*
- This article showcases Michael's improvements to Maple's
computation of the eigenvalues of a given matrix and the more
difficult task of correctly computing the corresponding eigenvectors.
**On a Bessel Function Integral**

*R.C. McPhedran, D.H. Dawes and Tony Scott*
- This articles shows an extensions of Maple's implementation for
solving definite integrals based on the exploitation of special
functions. New exact solutions were obtained and used to address a
physical problem in electromagnetic scattering.

## Applications

**Maple as a High Precision Calculator**

*Jonathan M. Borwein and Mark A. Limber*
- This is an enjoyable "mathematics of computation" article which
also showcases Maple's capabilities as a convenient and powerful
multiple precision calculator.
**Surfaces and Volumes of Revolution with Maple**

*Thomas Riedel and Prasanna Sahoo*
- As the title implies, this is an educational article showing
Maple's capabilities as a teaching tool.
**Counting Non-Isomorphic Graphs with Maple**

*David R. Guichard*
- This article involves a particular application involving graph
theory and combinatorics may be of useful to those interested in
enumeration problems of the type: "How many distinct colorings are
there in object X?".
**Hypersingular Integral Evaluation using Maple**

*L.J. Gray*
- This articles shows how Maple can be usefully applied to boundary
integral methods which are extensively used in areas of physics and
engineering.

Last modified: 94/04/26
*Read M. Pinchback*