Complex Analysis Beardon Alan
With its emphasis on the argument principle in analysis and topology, this book represents a different approach to the teaching of complex analysis. Part II builds upon this material, using the argument and its continuous variation as a tool in further studies and clarifying the… Celý popis ↓
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Complex Analysis Beardon Alan
With its emphasis on the argument principle in analysis and topology, this book represents a different approach to the teaching of complex analysis. 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. 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.
The first two sections are intended for advanced undergraduates and graduate students Part III explores the link between the two subjects to their mutual benefit.
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