Overview

Complex variables is a precise, elegant, and captivating subject. Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research, with an understanding and explanation of their interrelations with other important parts of mathematics. This methodically designed book contains a rich collection of exercises, examples, and illustrations within each individual chapter, concluding with an extensive bibliography of monographs, research papers, and a thorough index. Seeking to capture the imagination of advanced undergraduate and graduate students with a basic background in complex analysis--and also to spark the interest of seasoned workers in the field--the book imparts a solid education both in complex analysis and in how modern mathematics works.