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Complex Analysis
Steven G. Krantz
其他書名
The Geometric Viewpoint
出版Mathematical Association of America, 1990
主題Mathematics / CalculusMathematics / Geometry / GeneralMathematics / Probability & Statistics / GeneralMathematics / Mathematical AnalysisMathematics / Complex Analysis
ISBN08838502659780883850268
URLhttp://books.google.com.hk/books?id=gshaAAAAYAAJ&hl=&source=gbs_api
註釋Geometric methods have been used in complex analysis since the 1930s. Since that time they have become a central part of the research activities of complex analysis. However, these important techniques have never found their way into a text accessible to a broad audience. Steven G. Krantz, a leading worker in complex analysis and a well-known mathematical expositor, has written the first book explaining how complex analysis can be studied using methods of geometry, using the minimum of geometric formalism to gain a maximum of geometric and analytic insight. The climax of the book is an introduction to several complex variables from the geometric viewpoint. The author assumes no background in Riemannian geometry, and only one semester of complex analysis (a review of relevant topics in the classical theory of one complex variable is provided). This inviting book will appeal to students in mathematics, applied mathematics, and physics.