Like real analysis‎,‎ complex analysis has generated methods indispensable to mathematics and its applications‎.‎ Exploring the interactions between these two branches‎,‎ this book uses the results of real analysis to lay the foundations of complex analysis and presents a unified structure of mathematical analysis as a whole‎.‎ To set the groundwork and mitigate the difficulties newcomers often experience‎,‎ An Introduction to Complex Analysis begins with a complete review of concepts and methods from real analysis‎,‎ such as metric spaces and the Green‎-Gauss Integral Formula‎.‎ The approach leads to brief‎,‎ clear proofs of basic statements ‎- a distinct advantage for those mainly interested in applications‎.‎ Alternate approaches‎,‎ such as Fichera‎'‎s proof of the Goursat Theorem and Estermann‎'‎s proof of the Cauchy‎'‎s Integral Theorem‎,‎ are also presented for comparison‎.‎ Discussions include holomorphic functions‎,‎ the Weierstrass Convergence Theorem‎,‎ analytic continuation‎,‎ isolated singularities‎,‎ homotopy‎,‎ Residue theory‎,‎ conformal mappings‎,‎ special‎.‎‎.‎‎.‎