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Getting acquainted with fractals /
The first instance of pre-computer fractals was noted by the French mathematician Gaston Julia. He wondered what a complex polynomial function would look like, such as the ones named after him (in the form of z2 + c, where c is a complex constant with real and imaginary parts). The idea behind this...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
Walter de Gruyter,
2007.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- FRACTALS AND DIMENSIONS: The game of deleting and replacing
- The box-counting dimension
- The Hausdorff dimension
- ITERATIVE FUNCTION SYSTEMS: The space of compact subsets of a complete metric space
- Contractions in a complete metric space
- Affine iterative functions in R²
- ITERATION OF COMPLEX POLYNOMIALS: General theory of Julia sets
- Julia sets for quadratic polynomials
- The Mandelbrot set
- Generation of Julia sets.