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Bicomplex Holomorphic Functions The Algebra, Geometry and Analysis of Bicomplex Numbers /
The purpose of this book is to develop the foundations of the theory of holomorphicity on the ring of bicomplex numbers. Accordingly, the main focus is on expressing the similarities with, and differences from, the classical theory of one complex variable. The result is an elementary yet comprehensi...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Frontiers in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Introduction
- 1.The Bicomplex Numbers
- 2.Algebraic Structures of the Set of Bicomplex Numbers
- 3.Geometry and Trigonometric Representations of Bicomplex
- 4.Lines and curves in BC
- 5.Limits and Continuity
- 6.Elementary Bicomplex Functions
- 7.Bicomplex Derivability and Differentiability
- 8.Some properties of bicomplex holomorphic functions
- 9.Second order complex and hyperbolic differential operators
- 10.Sequences and series of bicomplex functions
- 11.Integral formulas and theorems
- Bibliography.