Complex Variables with Applications
Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The author...
Clasificación: | Libro Electrónico |
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Autores principales: | , |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2006.
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Edición: | 1st ed. 2006. |
Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Algebraic and Geometric Preliminaries
- Topological and Analytic Preliminaries
- Bilinear Transformations and Mappings
- Elementary Functions
- Analytic Functions
- Power Series
- Complex Integration and Cauchy's Theorem
- Applications of Cauchy's Theorem
- Laurent Series and the Residue Theorem
- Harmonic Functions
- Conformal Mapping and the Riemann Mapping Theorem
- Entire and Meromorphic Functions
- Analytic Continuation.