Intended for advanced undergraduates and graduate students in mathematics, this book represented a new approach to the teaching of complex analysis with emphasis on the argument principle in analysis and topology. The treatment provides geometrical insights by covering angles, basic complex analysis, and interactions with plane topology while focusing on the concepts of angle and winding numbers.

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Alan F. Beardon received his PhD from the University of London in 1964 and was Professor of Mathematics at the University of Cambridge from 1970 until he became Emeritus in 2007. His many books include A Primer on Riemann Surfaces, The Geometry of Discrete Groups, and Limits: A New Approach to Real Analysis.

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