The Colours of Infinity: The Beauty and Power of Fractals

Pirmais vāks
Nigel Lesmoir-Gordon
Springer Science & Business Media, 2010. gada 20. okt. - 207 lappuses
A geometry able to include mountains and clouds now exists. I put it together in 1975, but of course it incorporates numerous pieces that have been around for a very long time. Like everything in science, this new geometry has very, very deep and long roots. Benoît B. Mandelbrot Introduction This enhanced and expanded edition of THE COLOURS OF INFINITY features an additional chapter on the money markets by the fractal master himself, Professor Benoît Mandelbrot. The DVD of the film associated with this book has been re-mastered especially for this edition with exquisite new fractal animations, which will take your breath away! Driven by the curious enthusiasm that engulfs many fractalistas, in 1994, Nigel Lesmoir-Gordon overcame enormous obstacles to raise the finance for, then shoot and edit the groundbreaking TV documentary from which this book takes its name. The film has been transmitted on TV channels in over fifty countries around the world. This book is not just a celebration of the discovery of the Mandelbrot set, it also brings fractal geometry up to date with a gathering of the thoughts and enthusiasms of the foremost writers and researchers in the field. As Ian Stewart makes clear in the opening chapter, there were antecedents for fractal geometry before 1975 when Mandelbrot gave the subject its name and began to develop the underlying theory.
 

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LibraryThing Review

Lietotāja recenzija  - NielsenGW - LibraryThing

Fractals are both recent and timeless. They have only existed in mathematical literature for the last hundred or so years, but nature has had them from its first day. Fractal patterns exist in ... Lasīt pilnu pārskatu

LibraryThing Review

Lietotāja recenzija  - fpagan - LibraryThing

Good account of fractals, with great images thereof, by multiple authorities. The included DVD has two substantial-length videos featuring such awesome spectacles as continuous deep zoomings into the ... Lasīt pilnu pārskatu

Saturs

1 The Nature of Fractal Geometry
2
2 Exploring the Fractal Universe
24
A Geometry Able to Include Mountains and Clouds
38
4 Fractal Transformations
58
Fractal Limits
74
6 Selforganization Selfregulation and Selfsimilarity on the Fractal Web
88
Fractal Financial Fluctuations
120
Filming The Colours of Infinity
136
THE COLOURS OF INFINITYTHE FILM SCRIPT
144
Index
173
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Par autoru (2010)

Nigel Lesmoir-Gordon: Producer and Director of the original documentary, he has been an independent film and documentary maker since the 1960s. He is the co-author of Introducing Fractals with Will Rood and Ralph Edney and is currently investigating the educational applications of fractal geometry.

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