Includes bibliographical references.

Analytic functions -- The maximum principle -- Integration and approximation -- Cauchy's theorem -- Elementary maps -- Harmonic functions -- Conformal maps and harmonic functions -- Calculus of residues -- Normal families -- Series and products -- Conformal maps to Jordan regions -- The Dirichlet problem -- Riemann surfaces -- The uniformization theorem -- Meromorphic functions on a Riemann surface.

"Complex Analysis The cover of this book shows two conformal maps that reveal the beautiful potential of complex analysis. Illustrated in full color and written for students of a breadth of disciplines, the clear and thorough writing style in this book explores and demystifies one of the most elegant branches of mathematical analysis. Based on a popular course and covering up-to-date theory, this book covers a one-year graduate level introduction to complex analysis, as well as touching upon topics not seen in competing titles"-- Provided by publisher.