Complex Analysis Argument Principle by Beardon Alan (22 results)

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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.

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Paperback. Condition: Brand New. 256 pages. 9.00x6.00x0.50 inches. In Stock.

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Taschenbuch. Condition: Neu. Neuware - 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.

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Paperback. Condition: Brand New. 256 pages. 9.00x6.00x0.50 inches. In Stock.

Kartoniert / Broschiert. Condition: New. &Uumlber den AutorAlan 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 R.

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 multiple locations in the US or from the UK, depending on stock availability.

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 Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Condition: Very Good. Dust Jacket Condition: No Dust Jacket. First Edition. Original blue printed wrappers. With diagrams. Light but small pencil annotations to most pages. Slight fading and slight soiling to spine. With ex-owners name to reverse of front cover, "N. J. Lord 1980". Slight foxing to top edge. Slight wear to spine and covers. ; 14.8x23.5x1.5 cm; ix, 239 pages; "Complex Analysis: The Argument Principle in Analysis and Topology" by Alan F. Beardon is a significant work that delves into the intricate relationship between complex analysis and topology. The book primarily focuses on the argument principle, a fundamental theorem in complex analysis, which connects the number of zeros and poles of a meromorphic function to the winding number of its image under a contour map. Beardon's text is notable for its rigorous yet accessible approach, making it a valuable resource for both students and seasoned mathematicians. The argument principle is not only pivotal in understanding complex functions but also plays a crucial role in various applications within mathematics and physics. By exploring this principle, Beardon bridges the gap between abstract mathematical concepts and practical problem-solving techniques. Furthermore, the book's emphasis on topological methods provides readers with a deeper insight into the structural properties of complex functions. This dual focus enhances the reader's ability to visualize and manipulate complex functions, making it easier to grasp their behavior in different contexts. In essence, Beardon's work is a comprehensive guide that enhances our understanding of complex analysis through the lens of topology, offering profound theoretical insights and practical tools for mathematical analysis. Softcover (Original printed wrappers).