Notes on the Relationship Between Mathematics and
Programming

Larry A Lambe

Multidisciplinary Software Systems Research Corporation

Larry A Lambe

Multidisciplinary Software Systems Research Corporation

Here you will find a collection of notes, lectures, and papers on the topic of the relationships between mathematics, algorithms, and programming

more coming soon ...

Notice: Copyrights to some of the following papers are held by the

The first entry is a paper which uses symbolic computation to study an alteration of the usual finite difference method for the Helmholtz equation. The basic idea is from John Nehrbass' PhD work at Ohio State.

The second entry is a paper based on a talk in the 21st Congress of Nordic Mathematicians in Luleå in 1994. It assumes a knowledge of algebra at the graduate level. Slightly less technical expositions can be found at the two links following it below.

- A New Finite Difference Method For The
HeLmholtz Equation Using Symbolic Computation International Journal of Computational Engineering Science,
Mar 2003, Vol. 4 Issue 1, 121-144. World Scientific
download article
- Next Generation Computer Algebra Systems
AXIOM and the Scratchpad Concept: Applications to Research in
Algebra Gyllenberg, Mats (ed.) et al.,
Analysis, algebra and computers in mathematical research, Lect.
Notes Pure Appl. Math. 156 (1994), 201-222. click here
- Scratchpad II as a tool for mathematical
research, Notices of the Amer.
Mathematics Soc. 36 No. 2, February 1989, 141-148.

Note: The system described in this article was still a research project and not commercially available. See the article "The AXIOM system" below for more information. download article - The AXIOM system, Notices of the Amer. Mathematics Soc. 41 No. 1, January
1994, 14-18.

Note: The AXIOM system became an open source project in the early 2000s. download article. Several branches of open source AXIOM have evolved, click here for info and download for FriCAS (an open source system).

More to come. Come back from time to time. The order in which things are listed here is apt to change.

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