Bilinear Transformation examples: Conformal Mapping lecture-10
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- Опубликовано: 19 сен 2024
- In this video we will discuss 3 questions related to BILINEAR transformation :
1. Find the bilinear transformation which maps the points 2, i & -2 of z-plane to the the points 1, i & -1 respectively of w-plane.
Method 1 (using cross ratio) @ 00:32 min.
Method 2 (without using cross ratio) @ 13:15 min.
2. Find the bilinear transformation which maps the points 1, 0 & -1 of z-plane to the the points i, ∞ & 1 respectively of w-plane.
Method 1 (using cross ratio) @ 19:29 min.
Method 2 (without using cross ratio) @ 25:00 min.
3. Find the bilinear transformation which maps the points ∞, i & 0 of z-plane to the the points 0, i & ∞ respectively of w-plane. @ 28:06 min.
watch also:
Conformal Mapping (complex analysis): lecture 1
• Conformal Mapping (com...
Elementary Transformations in Conformal Mapping: lecture-2
• Elementary Transformat...
Elementary Transformations examples(Translation & Magnification) in Conformal Mapping: lecture-3
• Elementary Transformat...
Elementary Transformation(Rotation) examples in Conformal Mapping: lecture-4
• Elementary Transformat...
Elementary Transformation(Inversion) examples in Conformal Mapping: lecture-5
• Elementary Transformat...
Two theorems of Inversion(w=1/z) in Conformal Mapping: lecture-6
• Two theorems of Invers...
Linear Transformation with 2 examples in Conformal Mapping : Lecture 7
• Linear Transformation ...
Bilinear(Mobius) Transformation related theorem : Conformal Mapping lecture-8
• Bilinear(Mobius) Trans...
Bilinear Transformation-Cross Ratio & Fixed Points: Conformal Mapping lecture-9
• Bilinear Transformatio...
PLAYLISTS LINK :
1. Cauchy integral formula and proof
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2. Maxima & Minima (Extreme Values)
• Maxima & Minima (Extre...
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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#bilineartransformation
#mobiustransformation
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if w= f(z) represents a conformal transformation of a domain D from a z plane into a w plane ,then f(z) is analytic function of z in D pls share a video on this topic too.......and critical and ordinary points......inverese point wrt a circle ....pls share with us
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is it compulsory that w gives the value in terms of z, or it can only be in i ??
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second example me aapne jo w2 aur w2 cancel kiya cross ratio method me wo infinity upon infinity hi aapne cancelled ki ....kya aisa kar sakte hai ?
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Sir w2 aur w2 ko cancel out kaise kar sakte hai jabki dono hi infinity hai aise main infinity/infinity form aa jayega.
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I wast learn good from all videos but in this video cross ratio formula is wrong.... Right is (w − w1)(w2 − w3)/
(w − w3)(w2 − w1) = (z − z1)(z2 − z3)/
(z − z3)(z2 − z1)
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Sir i have a doubt
For eg w=2,0,2 to z=o,i,-i
By solving we get w=i
There is no z term in this
Is that correct sol???
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Isnt this infinity destroying the equation
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Agar z1, z2, z3 ki values na di ho aur sirf w1, w2, w3, ki values di ho tab kis Tara karay ga
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(w-w1)(w2-w3)/(w-w3)(w2-w1)=(z-z1)(z2-z3)/(z-z3)(z2-z1)
Sir ye formula se answer to same aata but sirif + and - ka difference aara kya isse exam me kuch problem hoge
- ka difference nh aaega
apne kuch calculation mistake ki hogi
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