Theoretical physics, applied mathematics and visualizations

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The conceptual aspects of the majority of physical phenomena readily are comprehensible, yet their analysis conducive to justifiable output require mathematical justifications. Applied mathematics is the backbone of theoretical physics. No field in physics in particular and science in general is immune. Within the last couple of decades advances in computer science introduced a fresh pathway, computational physics, augmenting the field. The offspring of these innovations is the scientific software capable of performing operations that could not be accomplished traditionally. The impact of these spectacular innovative technologies is evidence in scientific literature. The focus of this article is to demonstrate the graphical usefulness of one such scientific software, Mathematica analyzing the electrostatic features of discrete charge distributions. This is an example of a theoretical physics problem focusing on the overlap of physics, graphics and math. Ever since its birth a quarter century ago, Mathematica steadily has been growing in popularity and practicality. This article embodies the codes compatible with the latest version of the software including one, two and three dimensional sliders. Practitioner physicists, interested individuals and mathematicians may adjust the code to meet their needs.

Original languageEnglish (US)
Title of host publicationMathematical Software - 5th International Conference, ICMS 2016, Proceedings
EditorsGert-Martin Greuel, Andrew Sommese, Thorsten Koch, Peter Paule
PublisherSpringer Verlag
Pages366-370
Number of pages5
ISBN (Print)9783319424316
DOIs
Publication statusPublished - Jan 1 2016
Event5th International Conference on Mathematical Software, ICMS 2016 - Berlin, Germany
Duration: Jul 11 2016Jul 14 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9725
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other5th International Conference on Mathematical Software, ICMS 2016
CountryGermany
CityBerlin
Period7/11/167/14/16

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All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Sarafian, H. (2016). Theoretical physics, applied mathematics and visualizations. In G-M. Greuel, A. Sommese, T. Koch, & P. Paule (Eds.), Mathematical Software - 5th International Conference, ICMS 2016, Proceedings (pp. 366-370). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9725). Springer Verlag. https://doi.org/10.1007/978-3-319-42432-3_45