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Complex Analysis: The Argument Principle in Analysis and Topology

Complex Analysis: The Argument Principle in Analysis and Topology

By: Alan F. Beardon

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With its emphasis on the argument principle in analysis and topology, this book represents a different approach to the teaching of complex analysis. The three-part 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.
Part I takes a critical look at the concept of an angle, illustrating that because a nonzero complex number varies continuously, one may select a continuously changing value of its argument. Part II builds upon this material, using the argument and its continuous variation as a tool in further studies and clarifying the complementary aspects of complex analysis and plane topology. Part III explores the link between the two subjects to their mutual benefit. The first two sections are intended for advanced undergraduates and graduate students in mathematics and contain sufficient material for a single course. The final section is geared toward the complex analyst and is intended to provide a foundation for further study.

Corrected reprint of the John Wiley, New York, 1979 edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486837181
ISBN 139780486837185
Author/EditorAlan F. Beardon
Page Count256
Dimensions6 x 9

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