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Integration using Laurent Series and Residues
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Integration in Complex Analysis
This video demonstrated how to Integrate z^4 exp(-1/z) with respect to z by using Taylor Series , Laurent Series and Cauchy's Residue Theorem .
First we find the Taylor Series of exp z . then find the Laurent series about (1/z) then about (-1/z) .
Then expanding this Laurent Series and multiplying by z^4 to find the residue of the function .
#complexnumbers
#mathstricks
#algebra
#complex
#maths
#cauchy
#calc3
#calculus
#analysis
#calculo
This video demonstrated how to Integrate z^4 exp(-1/z) with respect to z by using Taylor Series , Laurent Series and Cauchy's Residue Theorem .
First we find the Taylor Series of exp z . then find the Laurent series about (1/z) then about (-1/z) .
Then expanding this Laurent Series and multiplying by z^4 to find the residue of the function .
#complexnumbers
#mathstricks
#algebra
#complex
#maths
#cauchy
#calc3
#calculus
#analysis
#calculo