Transformation of systems of coordinates

  • Wilhelm Magnus
  • Fritz Oberhettinger
  • Raj Pal Soni
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 52)

Abstract

In many problems of mathematical physics it is better to use an orthogonal coordinate system u, v, winstead of the cartesian coordinates x, y, z. The choice of a particular coordinate system may be motivated by physical reason and can result in a considerably simplified analysis of the problem.

Keywords

Dinates Prolate 

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Literature

  1. Erdélyi, A.: [1] Higher transcendental functions, Vol. 2. New York: McGraw-Hill 1953.Google Scholar
  2. — Vol. 3 (1955).Google Scholar
  3. McLachlan, N. W.: Theory and application of Mathieu functions. Oxford: Oxford Univ. Press. 1947.MATHGoogle Scholar
  4. Morse, P. M., and H. Feshbach: Methods of theoretical physics, part I. New York: Mc-Graw-Hill 1953.Google Scholar
  5. Strutt, M. J. O.: Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 1, no. 3. Berlin: Springer 1932.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1966

Authors and Affiliations

  • Wilhelm Magnus
    • 1
  • Fritz Oberhettinger
    • 2
  • Raj Pal Soni
    • 3
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityUSA
  2. 2.Oregon State UniversityUSA
  3. 3.International Business Machines CorporationUSA

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