Complex Analysis and Differential Equations
Seiten
2012
Springer London Ltd (Verlag)
978-1-4471-4007-8 (ISBN)
Springer London Ltd (Verlag)
978-1-4471-4007-8 (ISBN)
This rigorous yet accessible introduction to complex analysis and differential equations covers complex numbers, holomorphic functions, analytic functions, ordinary differential equations, Fourier series and applications to 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.
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.
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.
| Reihe/Serie | Springer Undergraduate Mathematics Series |
|---|---|
| Zusatzinfo | 37 Illustrations, black and white; VIII, 415 p. 37 illus. |
| Verlagsort | England |
| Sprache | englisch |
| Original-Titel | Análise Complexa e Equações Diferenciais & Exercícios de Análise Complexa e Equações Diferenciais |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Complex Analysis • fourier analysis • Ordinary differential equations • Partial differential equations |
| ISBN-10 | 1-4471-4007-9 / 1447140079 |
| ISBN-13 | 978-1-4471-4007-8 / 9781447140078 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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