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Chapter 1 The Basics 1.1 The Field of Complex Numbers The two dimensional R-vector space R2 of ordered pairs z =(x,y) of real numbers with multiplication (x1,y1)(x2,y2):=(x1x2−y1y2,x1y2+x2y1) isacommutativefield denotedbyC.Weidentify arealnumber x with the complex number (x,0).Via this identification C becomes a field extension of R with the unit Solutions Functions of One Complex Variable I, Second Edition by John B. Conway. Access A First Course in Complex Analysis with Applications 1st Edition solutions now. I made the effort to introduce an easier-to-read for- Download Fundamentals And Applications Of Complex Analysis Book For Free in PDF, EPUB. 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