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Titlebook: Complex Analysis and Differential Equations; Luis Barreira,Claudia Valls Textbook 2012 Springer-Verlag London 2012 Complex Analysis.Fourie

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发表于 2025-3-21 16:15:30 | 显示全部楼层 |阅读模式
书目名称Complex Analysis and Differential Equations
编辑Luis Barreira,Claudia Valls
视频video
概述Emphasis is given to the applications of complex analysis to differential equations.Provides a rigorous approach with the right balance between theory and practice.Includes approximately 200 examples
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: Complex Analysis and Differential Equations;  Luis Barreira,Claudia Valls Textbook 2012 Springer-Verlag London 2012 Complex Analysis.Fourie
描述.This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations. .The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can  be read independently, so in essence this text offers two books in one. In the second part of the book, some emphasis is given to the application of complex analysis to differential equations. Half of the book consists of approximately 200 worked out problems, carefully prepared for each part of theory, plus 200 exercises of variable levels of difficulty..Tailored to any course giving the first introduction to complex analysis or differential equations, this text assumes only a basic knowledge of linear algebra and differential and integral calculus. Moreover, the large number of examples, worked out problems and exercises makes this the ideal book for independent study..
出版日期Textbook 2012
关键词Complex Analysis; Fourier Analysis; Ordinary Differential Equations; Partial Differential Equations
版次1
doihttps://doi.org/10.1007/978-1-4471-4008-5
isbn_softcover978-1-4471-4007-8
isbn_ebook978-1-4471-4008-5Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer-Verlag London 2012
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Programmieren von Mikrocomputernmethod of separation of variables. In contrast to what happens in all former chapters, here not everything is proved since this would require additional techniques. One notable exception is the proof of existence and uniqueness of solutions for the heat equation under certain assumptions.
发表于 2025-3-22 11:40:01 | 显示全部楼层
Holomorphic Functionsits relation to the notion of a holomorphic function. Finally, we introduce the index of a closed path, we obtain Cauchy’s integral formula for a holomorphic function, and we discuss the relation between integrals and homotopy.
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Partial Differential Equationsmethod of separation of variables. In contrast to what happens in all former chapters, here not everything is proved since this would require additional techniques. One notable exception is the proof of existence and uniqueness of solutions for the heat equation under certain assumptions.
发表于 2025-3-22 21:15:45 | 显示全部楼层
Textbook 2012e first introduction to complex analysis or differential equations, this text assumes only a basic knowledge of linear algebra and differential and integral calculus. Moreover, the large number of examples, worked out problems and exercises makes this the ideal book for independent study..
发表于 2025-3-23 02:20:54 | 显示全部楼层
Textbook 2012omorphic functions, Fourier series, ordinary and partial differential equations. .The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can  be read independently, so in essence this text offers two books in one. In the second part
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