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Conformal Mapping

In: Complex Analysis with Applications in Science and Engineering

Author

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  • Harold Cohen

    (California State University, Los Angeles, Department of Physics and Astronomy)

Abstract

Let R be a region in the z-plane defined by points x + iy, and let S be a region of the w-plane defined by points u + iv. If (8.1) $$ w = f(z) $$ defines a set of points in S for each point in R, eq. 8.1 is a mapping or a transformation from R to S. This mapping can also be written as two real transformation equations (8.2a) $$ u = u(x,y) $$ and (8.2b) $$ v = v(x,y) $$

Suggested Citation

  • Harold Cohen, 2007. "Conformal Mapping," Springer Books, in: Complex Analysis with Applications in Science and Engineering, edition 0, chapter 0, pages 249-366, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-73058-5_8
    DOI: 10.1007/978-0-387-73058-5_8
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