Adding definitions and concepts of Mobius Transformations

README.md

@@ -1,4 +1,16 @@
 # MobiusTransformsVisualizer
 A Javascript visualizer for Mobius Transforms.
 
-Mobius transforms are transformations of the function f(z) = (az + b)/(cz + d), where a,b,c,d,z are complex variables. 
+Mobius transforms are transformations of the function f(z) = (az + b)/(cz + d), where a,b,c,d,z are complex variables. 
+
+Mobius transformations are defined on the extended complex plane that is augmented by infinity. 
+
+Stereographic Projection - Mappying that projects a sphere onto a plane, where the projection is defined at every point but the projection point (Used to picture the sphere as a plane)
+
+-Stereographic Projections will preserve angles at which curves cross each other, but not area
+
+Mobius transformations can be obtained by obtaining a stereographic projection, then rotating/moving to a different orientation in space, and project the sphere back to a plane (drawing a line from the pole of infinity to the plane)
+
+Riemann Sphere - Model of an extended complex plane in the form of a sphere, consisting of complex numbers and infinity
+
+Goal : https://www.youtube.com/watch?v=JX3VmDgiFnY