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Introduction to Partial Differential Equations
This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | Undergraduate Texts in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- What are Partial Differential Equations?
- Linear and Nonlinear Waves
- Fourier Series
- Separation of Variables
- Finite Differences
- Generalized Functions and Green's Functions
- Complex Analysis and Conformal Mapping
- Fourier Transforms
- Linear and Nonlinear Evolution Equations
- A General Framework for Linear Partial Differential Equations
- Finite Elements and Weak Solutions
- Dynamics of Planar Media
- Partial Differential Equations in Space .