Academic Journal of Mathematical Sciences, 2023, 4(5); doi: 10.25236/AJMS.2023.040507.
Wenbing Meng, Pan Zhou, Shi Duan, Zhijie Hao, Xingxing Liang
Hotan Normal College, Hotan, China
Lots of advanced mathematical knowledge has been applied in electromagnetism which is definitely one of the vital basic courses for physics, especially when the abstract calculus relations are used to express incomprehensible theorems and laws, the difficulty of learning is apparently increased. For those non-physics specialties but science-technology students, earning the electromagnetism in college also becomes a great challenge. This paper takes Gauss's theorem of electrostatic fields in electromagnetism as an example to explain the application of calculus in Gaussian theorem of electrostatic fields, which aims to, on the basis of conciseness and acceptability, help learners master the related knowledge and brings inspiration to the future teaching process.
Calculus, Electromagnetism, Electrostatic fields, Gauss's theorem
Wenbing Meng, Pan Zhou, Shi Duan, Zhijie Hao, Xingxing Liang. The Application of Calculus to Gauss's Theorem for Electrostatic Fields. Academic Journal of Mathematical Sciences (2023) Vol. 4, Issue 5: 48-53. https://doi.org/10.25236/AJMS.2023.040507.
[1] Lai Dingguo, Deng Lingna, Liu Yibao, Pan Xiaoqing. (2005) An introduction to the ideas and methods of calculus in university physics. University Physics, 24, 52-54.
[2] Wang Zhiyong, Wang Chunxiu. (2020) A study on constructing students' "mathematical limit thinking" in calculus education and teaching. Journal of Higher Education, 20, 125-129.
[3] Cao Yongbing, Tu Rongbao. (2004) Birth of calculus. Research on Middle School Mathematics, 1, 42-44.
[4] Ou Congjie. (2014) Integrating Calculus Thought into College Physics Teaching. EDUCATION TEACHING FORUM, 6, 178-179.
[5] Yao Chunmei. (1996) Questions about Gauss Theorem. Journal of Wuling, 17, 34-37.