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Introduction To Complex Analysis | Complex Mapping | W=f(Z)
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Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.
It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics.
By extension, use of complex analysis also has applications in engineering fields such as nuclear, aerospace, mechanical and electrical engineering.
A complex function is a function from complex numbers to complex numbers. In other words, it is a function that has a subset of the complex numbers as a domain and the complex numbers as a codomain.
In this video, we are going to introduce complex analysis and how to graph or map functions in the Z plane onto the W plane.
#complexanalysis
#complexnumbers
#complexfunctions
#engineeeringmathematics
#advancedmathematics
#complex
#z-plane
#w-plane
#avitechmaths
#complexmapping
It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics.
By extension, use of complex analysis also has applications in engineering fields such as nuclear, aerospace, mechanical and electrical engineering.
A complex function is a function from complex numbers to complex numbers. In other words, it is a function that has a subset of the complex numbers as a domain and the complex numbers as a codomain.
In this video, we are going to introduce complex analysis and how to graph or map functions in the Z plane onto the W plane.
#complexanalysis
#complexnumbers
#complexfunctions
#engineeeringmathematics
#advancedmathematics
#complex
#z-plane
#w-plane
#avitechmaths
#complexmapping
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