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Transformations in the Complex Plane

In: Field Theory Handbook

Author

Listed:
  • Parry Moon

    (Massachusetts Institute of Technology)

  • Domina Eberle Spencer

    (University of Connecticut)

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).

Suggested Citation

  • Parry Moon & Domina Eberle Spencer, 1961. "Transformations in the Complex Plane," Springer Books, in: Field Theory Handbook, chapter 0, pages 49-76, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-53060-9_2
    DOI: 10.1007/978-3-642-53060-9_2
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