Based on a freshman mathematics course taught at the University of Illinois, this textbook explains the basic properties of complex numbers, analyzes the zero-sets of quadratic equations from the point of view of complex rather than real variables, and introduces convergent power series in one complex variable. The Cauchy integral formula is applied to ordinary integrals, the Fourier transform, and the Gamma function. Annotation �2011 Book News, Inc., Portland, OR (booknews.com)

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