Re: SuperFractals by Michael Fielding Barnsley
- From: "Timothy Golden BandTechnology.com" <tttpppggg@xxxxxxxxx>
- Date: Sat, 16 Jun 2007 15:48:06 -0700
On Jun 13, 12:49 pm, Roger Bagula <rlbag...@xxxxxxxxxxxxx> wrote:
http://www.amazon.com/SuperFractals-Michael-Fielding-Barnsley/dp/0521...
(Hardcover)
by Michael Fielding Barnsley (Author) "Any picture may be conceived as a
mathematical object, lying on part of the euclidean plane, each point
having its own colour..." (more)
Key Phrases: John Hutchinson, Lake Padden
Amazon.com
Book Description
Superfractals is the long-awaited successor to Fractals Everywhere, in
which the power and beauty of Iterated Function Systems were introduced
and applied to producing startling and original images that reflect
complex structures found for example in nature. This provoked the
question of whether there is a deeper connection between topology,
geometry, IFS and codes on the one hand and biology, DNA and protein
development on the other. Now, 20 years later, Barnsley brings the story
up to date by explaining how IFS have developed in order to address this
issue. New ideas such as fractal tops and superIFS are introduced, and
the classical deterministic approach is combined with probabilistic
ideas to produce new mathematics and algorithms that open a whole theory
that could have applications in computer graphics, bioinformatics,
economics, signal processing and beyond. For the first time these ideas
are explained in book form, and illustrated with breathtaking pictures.
Click to see larger images from SuperFractals
(Links will open in a new browser window)
Review
"Overall, SuperFractals would be a superb addition to the bookshelves of
any scientists who use fractal analysis techniques in their research, be
they physicist, biologist or economist. The author concludes by
promising that the introduction of superfractals will revolutionize the
way mathematics, physics, biology and art are combined, to produce a
unified description of the complex world in which we live. After reading
this book I have no doubt he is correct."
Nature
"The book is well structured and an enjoyable read...The book contains
some interesting, very deep and even enthralling mathematics. The
author's ability to clearly describe complicated phenomena paired with a
pleasant writing style make this book a must read for all people
interested in the mathematics of fractals...There are many wonderful,
colorful pictures that spark one's imagination. Examples spread
liberally throughout the book together with relevant exercises help
illuminate this new look at 'patterns in nature'."
MAA Reviews
customer reviews:
Not a Good Experince this time, May 11, 2007
By Lalit Kr Gupta (Delhi, India) - See all my reviews
(REAL NAME)
The order reached me after so many calls. The actual order did not
reached me and amazon reorder that for me and even charge me for that
which they refund me later onbut for that I have to call international
number many time which cost me a lot . I must say not a good expereince
this time . Hoping a batter one next time
Opinion on SuperFractals, April 2, 2007
By Ronald S. Shortt (Riverside, CA USA) - See all my reviews
(REAL NAME)
This is the best book I have seen on fractals. It gives a deep, sweeping
mathematical account of the amazing properties of fractal images that
are not presented in other books I have read on the subject. I was
astounded at the content of this book, it was far more than what I had
expected!
A Beautiful Book, January 31, 2007
By DataGuru (DC) - See all my reviews
Prof. Michael Barnsley has demonstrated once again that his approach to
pattern analysis in the real-world, namely self-similar patterns,
through iterated functions and random dynamical systems, works for more
complex and amazingly complex and beautiful patterns, by expanding his
previous theory developed in his earlier book. Besides the nice
mathematics and recent theoretical developments by him and others, the
many beautifully produced figures in the book are already worthy the
price of the book, which I am surprised is such a bargain.
I reviewed this book at the bookstore. From what I understand the
relation of the superfractal to algorithmic fractals such as the
Mandelbrot set is nill. The superfractal starts with a preliminary
pixel map (e.g. an image of a fish) and iterates with a random choice
within the operation so that the resultant image will be variable even
for identical runs of the same code (reseeding the rng). I do not feel
attracted to this means of generation but that is just my opinion.
Still, the usage of the term 'superfractal' is attractive and so I
walked away a little bit disappointed. This book seems to be geared
more for image processing than for physics. Still, maybe it will give
you some new ideas.
-Tim
.
- References:
- SuperFractals by Michael Fielding Barnsley
- From: Roger Bagula
- SuperFractals by Michael Fielding Barnsley
- Prev by Date: Re: Mandelbrot set interior is easier to render?
- Next by Date: Re: Mandelbrot set interior is easier to render?
- Previous by thread: SuperFractals by Michael Fielding Barnsley
- Next by thread: Fractal Art by Thomas Briggs
- Index(es):
Relevant Pages
|
