Bilinear Transformation-Cross Ratio & Fixed Points: Conformal Mapping lecture-9

In this video we will discuss a theorem related to BILINEAR Transformation:
1. Why ad-bc not = 0 in conformal mapping
Logic 1 @ 00:22 min.
Logic 2 @ 03:30 min.
2. Cross Ratio (with proof) @ 05:32 min.
3. Fixed Points/Invariant Points (with 2 examples) @ 17:22 min.

watch also:
Conformal Mapping (complex analysis): lecture 1
   • Conformal Mapping (complex analysis)  
Elementary Transformations in Conformal Mapping: lecture-2
   • Elementary Transformations in Conform...  
Elementary Transformations examples(Translation & Magnification) in Conformal Mapping: lecture-3
   • Elementary Transformations examples(T...  
Elementary Transformation(Rotation) examples in Conformal Mapping: lecture-4
   • Elementary Transformation(Rotation) e...  
Elementary Transformation(Inversion) examples in Conformal Mapping: lecture-5
   • Elementary Transformation(Inversion) ...  
Two theorems of Inversion(w=1/z) in Conformal Mapping: lecture-6
   • Two theorems of Inversion(w=1/z) in C...  
Linear Transformation with 2 examples in Conformal Mapping : Lecture 7
   • Linear Transformation with 2 examples...  
Bilinear(Mobius) Transformation related theorem : Conformal Mapping lecture-8
   • Bilinear(Mobius) Transformation relat...  

PLAYLISTS LINK :
1. Cauchy integral formula and proof
   • Cauchy Integral Theorem and Formula  
2. Maxima & Minima (Extreme Values)
   • Maxima & Minima (Extreme Values)  
3. ε-δ Definition of Limit
   • ε-δ Definition of Limit  
4. BSc Mathematics
   • BSc Mathematics  
5. Conformal Mapping
   • Conformal Mapping  

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63766-37094

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#fixedpoints
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#conformalmapping