Bilinear Transformations, Mobius Transformation, Inverse Points and Fixed Points of Bilinear Transformation, Mappings
What you'll learn
Students will learn that under bilinear transformations, Circles or Straight Lines are mapped into Circles and Straight Lines and inverse points into inverse pt
To find the Bilinear Transformation that maps the region in z plane onto the region in w plane.
To find Most General Bilinear Transformation and its Mapping under given Conditions.
To Determine the Mobius Transformation and its Forms in accordance with the given Conditions.
How to Find the Images , Radius and Center of the Transformed Circle.
Requirements
Basic Knowledge of Complex numbers
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~Get Your Files Here !/1. Determine the General Bilinear Transformation/1. Introduction of mapping of Bilinear Transformation and the Inverse Points.mp4
20.9 MB
~Get Your Files Here !/1. Determine the General Bilinear Transformation/2. To Find all Bilinear Transformations which maps half plane I(z)=0 onto w =1.mp4
54.5 MB
~Get Your Files Here !/1. Determine the General Bilinear Transformation/3. Find the General Bilinear Transf. that maps R(z)=0 onto Unit Circular Disc ..mp4
49.3 MB
~Get Your Files Here !/1. Determine the General Bilinear Transformation/4. Find the General Bilinear Transf. that maps z=1 onto w= 1.mp4
62.8 MB
~Get Your Files Here !/1. Determine the General Bilinear Transformation/5. Find the General bilinear Transf. that maps z-z0= R onto w= 1.mp4
64.1 MB
~Get Your Files Here !/2. To Determine MOBIUS TRANSFORMATION with Given Conditions/1. To find the Mobius Transformation that maps z=1 onto w=1 with conditions.mp4
50.8 MB
~Get Your Files Here !/2. To Determine MOBIUS TRANSFORMATION with Given Conditions/2. To find the most General Transformation that maps z=1 conformally onto w=1..mp4
25.8 MB
~Get Your Files Here !/2. To Determine MOBIUS TRANSFORMATION with Given Conditions/3. Find the Radius and the Center of the transf. Circle and the Corresponding Point.mp4
32.2 MB
~Get Your Files Here !/2. To Determine MOBIUS TRANSFORMATION with Given Conditions/4. Show that the Given Transformation maps the Circle onto the Straight Line..mp4
22.5 MB
~Get Your Files Here !/3. Expected Important Solved Assignment on Mobius Transformations/1. Show that the Given Transf. transforms the Circle onto the Real axis of w-Plane.mp4
29.2 MB
~Get Your Files Here !/3. Expected Important Solved Assignment on Mobius Transformations/2. Discuss the application of given Transf. to Unit Circle centered at Origin.mp4
27.7 MB
~Get Your Files Here !/3. Expected Important Solved Assignment on Mobius Transformations/3. Find the Images of z=1 & z=r,r1 for the Bilinear Transformation.mp4
65.7 MB
~Get Your Files Here !/3. Expected Important Solved Assignment on Mobius Transformations/4. Another Form of Bilinear Transformation which maps z=1 into w= 1.mp4
90.8 MB
~Get Your Files Here !/3. Expected Important Solved Assignment on Mobius Transformations/5. Show that awz - bw -bz + a = 0 maps z=1 onto w=0 if b not equal to a.mp4
56.5 MB
~Get Your Files Here !/3. Expected Important Solved Assignment on Mobius Transformations/6. Show that integral of dsy is Invariant under the Given Transformation..mp4
32.9 MB
~Get Your Files Here !/3. Expected Important Solved Assignment on Mobius Transformations/7. Express w = 13iz + 753z-5i in the Given Format and also find the Image of z=5.mp4
49.7 MB
~Get Your Files Here !/3. Expected Important Solved Assignment on Mobius Transformations/8. Find the Mobius Transformation of the Upper half Plane I(z)0 onto w1..mp4
33 MB
~Get Your Files Here !/Bonus Resources.txt
386 B
Alternative Torrents for 'CONFORMAL MAPPING Some Special Bilinear Transformations'.
