书目名称 | Complex Analysis and Applications | 编辑 | Hemant Kumar Pathak | 视频video | | 概述 | Provides a detailed, self-contained textbook on the theory and applications of complex analysis.Discusses topics with a relevant historical background of the subject to motivate students.Includes comp | 图书封面 |  | 描述 | This book offers an essential textbook on complex analysis. After introducing the theory of complex analysis, it places special emphasis on the importance of Poincare theorem and Hartog’s theorem in the function theory of several complex variables. Further, it lays the groundwork for future study in analysis, linear algebra, numerical analysis, geometry, number theory, physics (including hydrodynamics and thermodynamics), and electrical engineering. .To benefit most from the book, students should have some prior knowledge of complex numbers. However, the essential prerequisites are quite minimal, and include basic calculus with some knowledge of partial derivatives, definite integrals, and topics in advanced calculus such as Leibniz’s rule for differentiating under the integral sign and to some extent analysis of infinite series. The book offers a valuable asset for undergraduate and graduate students of mathematics and engineering, as well as students with no background in topological properties.. | 出版日期 | Textbook 2019 | 关键词 | Complex number; Riemann sphere; Analytic function; Power series; Bilinear transformation; Conformal mappi | 版次 | 1 | doi | https://doi.org/10.1007/978-981-13-9734-9 | isbn_ebook | 978-981-13-9734-9 | copyright | Springer Nature Singapore Pte Ltd. 2019 |
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