# 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.

HTML originally written by Reid M. Pinchback

Copyright 1996, Massachusetts Institute of Technology

Last modified: 96/09/25
*(reidmp@mit.edu)*