From real to complex analysis is aimed at senior undergraduates and beginning graduate students in mathematics it offers a sound grounding in analysis in particular it gives a solid base in complex analysis from which progress to more advanced topics may be made. Analysis real and complex analysis and functional analysis whose widespread use is illustrated by the fact that they have been translated into a total of 13 languages he wrote the first of these while he was a cle moore instructor at. 3 prove that if f is a real function on a measurable space x such that fx fx rgis a measurable for every rational r then fis measurable solution let m denotes the algebra of measurable sets in x let. Thus the basic complex analysis course is comoarable to the first course in calculus where you are studying really well behaved functions but functions with complex values instead of real hence from this point of view complex analysis is more elementary tham real analysis after learning basic complex analkysis one can proceed further and
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