Solution to Stokes-Maxwell-Euler Differential Equation

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DOI: 10.4236/am.2017.83033    509 Downloads   660 Views  

ABSTRACT

Solutions to the differential equation in Smith’s Prize Examination taken by Maxwell are discussed. It was a competitive examination using which skill full students were identified and James Clerk Maxwell was one of them. He later formulated the theory of Electromagnetism and predicted the light speed & its value was subsequently confirmed by experiments. Light travel in a direction perpendicular to oscillating electric and magnetic field through a vacuum from sun. In the same exam paper, Maxwell answered the question related to Stokes Theorem of vector calculus which was used in the formalism of Electromagnetic theory.

Cite this paper

De Alwis, A. (2017) Solution to Stokes-Maxwell-Euler Differential Equation. Applied Mathematics, 8, 410-416. doi: 10.4236/am.2017.83033.

References

[1] Stokes, G.G. and Maxwell, J.C. (1854) Smith’s Prize Exam.
http://www.clerkmaxwellfoundation.org/SmithsPrizeExam_Stokes.pdf
[2] Capobianco, G., Enea, M.R. and Ferro, G. (2017) Geometry and Analysis in Euler’s Integral Calculus. Archive for History of Exact Sciences, 71, 1-38.
http://www.clerkmaxwellfoundation.org/SmithsPrizeExam_Stokes.pdf
[3] Euler, L. (1758) Explanation of Certain Paradoxes in Integral Calculus.
[4] Fabian, A. and Nguyen, H.D. (2013) Paradoxical Euler: Integrating by Differentiating. The Mathematical Gazette, 97, 61-74.
http://dx.doi.org/10.1017/S002555720000543X
[5] Maxwell, J.C. (1873) A Dynamical Theory of the Electromagnetic Field.
http://archive.org/stream/philtrans00041514/00041514#page/n11/mode/2up

  
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