Mathematics motivated by physics: the electrostatic potential is the Coulomb integral transform of the electric charge density

Article English OPEN
Medina, L; Ley Koo, E;
(2008)
  • Publisher: Sociedad Mexicana de Física
  • Subject: Electrostatics | ecuaciones diferenciales de Laplace y de Poisson | spherical and circular cylindrical Harmonic functions | funciones armónicas esféricas y cilindricas circulares | Electroestática | Laplace and Poisson equations

This article illustrates a practical way to connect and coordinate the teaching and learning of physics and mathematics. The starting point is the electrostatic potential, which is obtained in any introductory course of electromagnetism from the Coulomb potential and th... View more
  • References (16)
    16 references, page 1 of 2

    1. I. Newton, Philosophiae Naturalis Principia Matematica (Pepys, Reg Sc. Praeses, 1686).

    2. I. Newton, Method of Fluxions and Infinte Series (Buddenbrooks, Inc., Boston, USA, 1779).

    3. A. Einstein, Relativity: The Special and General Theory (New York: Crown, 1961).

    4. M. Born, W. Heisenberg, and P. Jordan, Z. Phys. 35 (1926) 557.

    5. E. Ley Koo, Rev. Mex. F´ıs. 27 (1981) 449.

    6. Ciclo de Dia´logos: Matema´ticas motivadas por F´ısica, Facultad de Ciencias UNAM, 2006: Meca´nica. Espacios y vectores de posicio´n, velocidad, aceleracio´n... Dar´ıo Moreno y Jose´ Luis del R´ıo. Electromagnetismo y O´ ptica: El potencial electrosta´tico es la transformada integral de Coulomb de la densidad de carga. Luc´ıa Medina y Eugenio Ley Koo. Termodina´mica y Meca´nica Estad´ıstica. Distribuciones de probabilidad, promedios y fluctuaciones. Marcos Ley Koo e Iva´n Santamar´ıa. Meca´nica Cua´ntica. Espacios de operadores y de funciones de onda. Mar´ıa de los A´ngeles Ort´ız y Roc´ıo Ja´uregui.

    7. E. Purcell, Electricity and Magnetism: Berkeley Physics Course Vol II (McGraw-Hill, 1965).

    8. P. Lorrain and D.R. Corson, Electromagnetism Principle and Applications (W.H. Freeman and Company, 1990).

    9. R.P. Feynman, R.B. Leighton, and M. Sands, The Feynman Lectures on Physics Electromagnetism and Matter, Vol II (Addison-Wesley, California 1964).

    10. J.R.Reitz and F.J. Mildford, Foundations of Electromagnetic Theory (Addison-Wesley, Mass, 1967).

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