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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Literature
Erdélyi, A.: [1] Higher transcendental functions, Vol. 2. New York: McGraw-Hill 1953.
— Vol. 3 (1955).
McLachlan, N. W.: Theory and application of Mathieu functions. Oxford: Oxford Univ. Press. 1947.
Morse, P. M., and H. Feshbach: Methods of theoretical physics, part I. New York: Mc-Graw-Hill 1953.
Strutt, M. J. O.: Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 1, no. 3. Berlin: Springer 1932.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1966 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Magnus, W., Oberhettinger, F., Soni, R.P. (1966). Transformation of systems of coordinates. In: Formulas and Theorems for the Special Functions of Mathematical Physics. Die Grundlehren der mathematischen Wissenschaften, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11761-3_12
Download citation
DOI: https://doi.org/10.1007/978-3-662-11761-3_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-11763-7
Online ISBN: 978-3-662-11761-3
eBook Packages: Springer Book Archive