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Theoretical Physics, Applied Mathematics and Visualizations

机译：理论物理，应用数学和可视化

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摘要

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.
机译：大多数物理现象的概念方面很容易理解，但是对它们进行的有助于合理输出的分析需要数学上的证明。应用数学是理论物理学的骨干。尤其是物理领域和科学领域都无法幸免。在过去的几十年中，计算机科学的进步引入了一种新的途径，即计算物理，从而扩大了该领域。这些创新的产物是能够执行传统上无法完成的操作的科学软件。这些壮观的创新技术的影响是科学文献中的证据。本文的重点是演示一个这样的科学软件Mathematica分析离散电荷分布的静电特征的图形实用性。这是一个理论物理问题的例子，重点关注物理，图形和数学的重叠。自25年前诞生以来，Mathematica的知名度和实用性一直在稳步增长。本文体现了与该软件的最新版本兼容的代码，包括一维，二维和三维滑块。从业者物理学家，有兴趣的个人和数学家可以调整代码，以满足他们的需求。

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