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＜電子ブック＞
Complex Analysis and Differential Equations / by Luis Barreira, Claudia Valls
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	1st ed. 2012.
出版者	(London : Springer London : Imprint: Springer)
出版年	2012
本文言語	英語
大きさ	VIII, 415 p. 37 illus : online resource
著者標目	*Barreira, Luis author Valls, Claudia author SpringerLink (Online service)
件　名	LCSH:Fourier analysis LCSH:Functions of complex variables LCSH:Differential equations LCSH:Sequences (Mathematics) FREE:Fourier Analysis FREE:Functions of a Complex Variable FREE:Differential Equations FREE:Sequences, Series, Summability
一般注記	Part 1 Complex Analysis.- Basic Notions -- Holomorphic Functions -- Sequences and Series -- Analytic Functions -- Part 2 Differential Equations.- Ordinary Differential Equations -- Solving Differential Equations -- Fourier Series -- Partial Differential Equations 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 HTTP:URL=https://doi.org/10.1007/978-1-4471-4008-5

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