𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Uses Made of Computer Algebra in Physics

✍ Scribed by H.I. Cohen; J.P. Fitch


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
972 KB
Volume
11
Category
Article
ISSN
0747-7171

No coin nor oath required. For personal study only.

✦ Synopsis


Computer algebra is a tool building activity. This paper is a review of acceptance of this tool by physicists and theoretical chemists during the period from the EUROSAM-79 survey to the Spring of 1988, as reflected by the literature which quotes computer algebra.

After considering the traditional areas of application; celestial mechanics, relativity and quantum mechanics, we extend our examination to other areas of physics which would appear, from the literature, to he using computer algebra efficiently: fluid mechanics, plasma physics, optics, perturbation technology, continuum mechanics, numerical analysis for physics, mechanics, non-linear evolution equations, theoretical chemistry and other applications.


πŸ“œ SIMILAR VOLUMES


Some applications of computer algebra to
✍ J.C. Eilbeck; V.Z. Enol'skii πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 440 KB

We consider some examples of the use of computer algebra packages, specifically Maple and Mathematica, applied to some problems in integrable and nonintegrable systems in nonlinear continuous and lattice wave models.

Computing in algebraic geometry and comm
✍ Michael Stillman πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 167 KB

We present recent research of Eisenbud, FlΓΈystad, Schreyer, and others, which was discovered with the help of experimentation with Macaulay 2. In this invited, expository paper, we start by considering the exterior algebra, and the computation of GrΓΆbner bases. We then present, in an elementary mann

Constructions in Finite Geometry Using C
✍ G.L. Ebert πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 271 KB

One way of using a computer algebra system to do research in finite geometry is to use the system to construct "small" order examples of various constructions, and then hope to recognize a pattern that can be generalized and eventually proven. Of course, initially one does not know if the "small" or