Möbiusmuunnos
Möbiusmuunnos, also known as a bilinear transformation or linear fractional transformation, is a type of function encountered in complex analysis. It is a function of a complex variable $z$ that can be expressed in the form $f(z) = \frac{az+b}{cz+d}$, where $a, b, c, d$ are complex numbers and $ad-bc \neq 0$. The condition $ad-bc \neq 0$ ensures that the transformation is not degenerate.
These transformations are fundamental in the study of conformal mappings because they preserve angles and map
Möbius transformations have applications in various fields, including geometry, complex analysis, and even theoretical physics. They
The geometric interpretation of Möbius transformations is that they are compositions of simpler transformations: translations ($z