A Transformation which preserves Angles is known as conformal. For a transformation to be conformal,
it must be an Analytic Function and have a Nonzero Derivative. Let and be the tangents
to the curves and at and ,

(1) |

(2) |

(3) |

(4) |

**References**

Arfken, G. ``Conformal Mapping.'' §6.7 in *Mathematical Methods for Physicists, 3rd ed.* Orlando, FL:
Academic Press, pp. 392-394, 1985.

Bergman, S. *The Kernel Function and Conformal Mapping.* New York: Amer. Math. Soc., 1950.

Katznelson, Y. *An Introduction to Harmonic Analysis*. New York: Dover, 1976.

Morse, P. M. and Feshbach, H. ``Conformal Mapping.'' §4.7 in
*Methods of Theoretical Physics, Part I.* New York: McGraw-Hill, pp. 358-362 and 443-453, 1953.

Nehari, Z. *Conformal Map*. New York: Dover, 1982.

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1999-05-26