Complex analysis and differential equations [electronic resource]
- 作者： Barreira, Luis.
- 其他作者：
- 其他題名：
- Springer undergraduate mathematics series
- 出版： London : Springer London
- 叢書名： Springer undergraduate mathematics series
- 主題： Mathematical analysis , Differential equations , Mathematics , Fourier analysis , Functions of a Complex Variable. , Ordinary Differential Equations. , Partial Differential Equations. , Sequences, Series, Summability.
- ISBN： 9781447140085 (electronic bk.) 、 9781447140078 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005084028 | 機讀編目格式
館藏資訊
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.