Introducing Fractal GeometryIcon, 2000 - 174 páginas Fractal geometry is the geometry of the natural world. It mirrors the uneven but real shapes of nature, the world as we actually experience it, unlike the idealized forms of Euclidean geometry. We see fractals everywhere. Indeed, we are fractal! Using computers, fractal geometry can make precise models of physical structures - from ferns, arteries and brains to galaxies. Fractal geometry is a new language. Once you are able to speak it, you can describe the shape of a cloud as precisely as an architect can describe a house. new discipline from Zeno to calculus, set theory and the first maverick mathematicians who set the stage for the genius of fractal geometry, Benoit Mandelbrot. Text and graphics combine to offer the most accessible account of fractal geometry that any reader is likely to find. To quote J.A. Wheeler, protege of Niels Bohr and friend of Albert Einstein: No one will be considered scientifically literate tomorrow, who is not familiar with fractals. This book is the ideal guide to that literacy. |
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Introducing Fractal Geometry Nigel Lesmoir-Gordon,Will Rood,Ralph Edney No hay ninguna vista previa disponible - 2006 |
Términos y frases comunes
affine transformation axis behaviour Benoît Mandelbrot bifurcations Big Bang boundary Bourbaki brains calculate Cantor set cells chaos theory circles clusters coastline of Britain complex numbers complex plane connected contains cycle of period discovery dynamics equations Euclid feedback Feigenbaum Felix Hausdorff fractal complexity fractal curve fractal dimension fractal geometry Fractal shapes fractal structure galaxies graphic Henri Poincaré images imaginary numbers infinite Infinity integers INTRODUCING INTRODUCING iterated Julia and Fatou Julia set Koch curve lan Stewart look M-set Mandelbrot set mapping March 1999 INTRODUCING mathematicians mathematics Michael Barnsley Multifractal Newton one-third-sized copies patterns phase transitions physical Piece population Port Isaac problem rate of change real numbers real world revealed Richardson Roger Penrose scales screens self-affinity self-similar Sierpinski gasket Sierpinski triangle simulations smaller and smaller squares Step straight line three-quarter power law tree Uncle Szolem universe Verhulst virus word fractal wrinkled Zooming