Transformations in the Complex Plane

Parry Moon and Domina Eberle Spencer
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Parry Moon: Massachusetts Institute of Technology
Domina Eberle Spencer: University of Connecticut

Chapter Section II in Field Theory Handbook, 1961, pp 49-76 from Springer

Abstract: Abstract The most promising way of extending the engineering applications of field theory is to develop new coordinate systems. Section I listed the eleven systems whose coordinate surfaces are of the first or second degree. Klein [12] and Bôcher [4] extended this list to include a class of fourth-degree surfaces known as cyclides [13]. All possible systems of this class are treated by Bôcher. They include the eleven coordinates of Section I, as well as more complicated coordinates; but all are either simply separable or R-separable (Section IV).

Date: 1961
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DOI: 10.1007/978-3-642-53060-9_2

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