Complex Analyses in Engineering, Science and Technology

Transformation and Conformal Mapping

Author(s): S. G. Ahmed

Pp: 149-193 (45)

Doi: 10.2174/9781681080420115010007

* (Excluding Mailing and Handling)

Abstract

In complex analysis, a function preserves angles if and only if it is analytic or anti-analytic the conjugate of an analytic function. In the present chapter, we will deal with the transformation and conformal mapping, let us start this chapter, by introducing the meaning of the word "Conformal", then introducing some basic definitions for both mapping and transformation. Question: what does it mean by the word conformal? The answer is quite simple, the word conformal means preserving angle of the shape after transformation at a certain point.


Keywords: Bilinear transformation, inverse transformation, linear transformation, power transformation, transformations.

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