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Titlebook: Complex Analysis and Applications; Hemant Kumar Pathak Textbook 2019 Springer Nature Singapore Pte Ltd. 2019 Complex number.Riemann sphere

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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Titlebook: Complex Analysis and Applications;  Hemant Kumar Pathak Textbook 2019 Springer Nature Singapore Pte Ltd. 2019 Complex number.Riemann sphere
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
doihttps://doi.org/10.1007/978-981-13-9734-9
isbn_ebook978-981-13-9734-9
copyrightSpringer Nature Singapore Pte Ltd. 2019
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Sprachtechnologie in der Anwendung -In this chapter, we introduce the notion of analytic function, power series, and uniform convergence of sequences and series. Finally, we conclude the chapter with discussion on elementary complex functions.
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,Übersicht über die Sprachverarbeitung,In this chapter, we  discuss Canonical products of entire functions, Jensen’s formula, Poisson–Jensen formula, growth, order and exponent of convergence of entire functions, Hadamard’s three-circle theorem, Borel’s theorem, and Hadamard’s factorization theorem.
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