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Complex Analysis: The Argument Principle in Analysis and Topology (Dover Books on Mathematics) - Softcover
Synopsis
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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About the Author
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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- PublisherDover Publications Inc
- Publication date2020
- ISBN 10 0486837181
- ISBN 13 9780486837185
- BindingPaperback
- LanguageEnglish
- Number of pages256
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Complex Analysis : The Argument Principle in Analysis and Topology
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Complex Analysis: The Argument Principle in Analysis and Topology
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ISBN 13: 9780486837185
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COMPLEX ANALYSIS THE ARGUMENT PRINCIPLE
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Complex Analysis: the Argument Principle in Analysis and Topology
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Complex Analysis: the Argument Principle in Analysis and Topology (Paperback)
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ISBN 10: 0486837181
ISBN 13: 9780486837185
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Paperback. Condition: new. Paperback. 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. AUTHOR: 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. Text for advanced undergraduates and graduate students provides geometrical insights by covering angles, basic complex analysis, and interactions with plane topology while focusing on concepts of angle and winding numbers. 1979 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780486837185
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Complex Analysis: The Argument Principle in Analysis and Topology (Dover Books on Mathematics)
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Complex Analysis : The Argument Principle in Analysis and Topology
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COMPLEX ANALYSIS: THE ARGUMENT PRINCIPLE
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ISBN 13: 9780486837185
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Complex Analysis: the Argument Principle in Analysis and Topology
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Complex Analysis: The Argument Principle in Analysis and Topology
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