{"product_id":"complex-analysis-the-argument-principle-in-analysis-and-topology-paperback","title":"Complex Analysis: The Argument Principle in Analysis and Topology - Paperback","description":"\u003cp\u003eby \u003cb\u003eAlan F. Beardon\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eWith 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. \u003cbr\u003e 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.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eAlan 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 \u003ci\u003eA Primer on Riemann Surfaces, The Geometry of Discrete Groups, \u003c\/i\u003eand \u003ci\u003eLimits: A New Approach to Real Analysis.\u003c\/i\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 256\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 8.9 x 5.9 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 18, 2019\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":51756258296096,"sku":"9780486837185","price":22.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0974\/9764\/5344\/files\/bfdede3ee92ff2ca90634b168a70738e.webp?v=1780077766","url":"https:\/\/ebocreations.com\/products\/complex-analysis-the-argument-principle-in-analysis-and-topology-paperback","provider":"The E-Book Oasis LLC","version":"1.0","type":"link"}