Fraktale
Christian Stumpf
ich bin Schüler und suche einen Einstieg in die Welt der Fraktale, kann
mir jemand ein Buch ( oder eine Webseite ) empfehlen, bei dem keine
besonderen mathematischen Vorkenntnisse benötige ??
Außerdem suche ich so viele Programme zum berechnen von Fraktalen wie
ich kriegen kann !! ( Download ?? )
bin für alles dankbar
Christian
Richard Bamler
Michael Barnsley hat da ein gutes Buch geschrieben.
Ich weiß aber nicht, wie es auf deutsch heißt.
Du brauchst dafür nur ein paar Analysiskenntnisse.
Richard Bamler
Christian Stumpf <c....@t-online.de> schrieb in im Newsbeitrag:
3A66036F...@t-online.de...
Hermann Kremer
Christian Stumpf schrieb in Nachricht <3A66036F...@t-online.de>...
Hallo Christian,
nachstehend einige Links. Für Programme klickst Du am besten zuerst
diejenigen an, in denen program oder software auftaucht ...
Speziell der 4. und 5. Link sind für Dich wohl interessant.
Übrigens - die Links sind auch hervorragend dazu geeignet, Englisch zu
üben ;-)))
http://www.csc.fi/math_topics/Mail/FAQ/msg00077.html
http://www.math.yale.edu/mandelbrot/
http://www.chaos-theorie.de/
http://spanky.triumf.ca/www/fractint/fractint.html
http://spanky.triumf.ca/pub/FRACTALS/
http://homestead.com/giannoni/sa18.html
http://www.fractal-art.com/htmld/index-main.html
http://www-chaos.umd.edu/
http://www.glue.umd.edu/~bhunt/
http://classes.yale.edu/99-00/math190a/index.html
http://members.tripod.de/willhalm/
http://home.att.net/~Paul.N.Lee/PNL_Fractals.html
http://home.att.net/~Paul.N.Lee/Fractal_Software.html
http://home.att.net/~Paul.N.Lee/Fractal_Census.html
http://gameprogrammer.com/fractal.html
http://users.castel.nl/~nijda01/efract.htm
http://home.att.net/~Paul.N.Lee/Fractal_Links.txt
http://www.meden.demon.co.uk/Fractals/
http://www.crosswinds.net/athens/~jgal/main.html
http://sprott.physics.wisc.edu/sprott.htm
http://linas.org/art-gallery/
http://members.friendfactory.com/wothumser/index.html
http://www.physics.gatech.edu/chaos/
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SHORT AND SIMPLE: The fractal related newsgroups get a lot of requests
regarding fractal information. For an exhaustive list of fractal
generators, galleries featuring fractals, and other fractal related
information, go to the following:
http://home.att.net/~Paul.N.Lee/Fractal_Software.html
and
http://home.att.net/~Paul.N.Lee/Fractal_Links.txt
and
http://home.att.net/~Paul.N.Lee/Fractal_Census.html
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
----------------------------------------------------------------------
Books, Magazines, Articles, etc.
----------------------------------------------------------------------
For a more complete list, you might want to do a Search on "Fractal" or
"Chaos" at the following website:
http://www.amazon.com/
U.S. Standard Shipping (3 to 7 business days) $3 per shipment plus
$0.95 per book. Many other shipping options available.
http://www.astro.virginia.edu/~eww6n/books/Fractals.html
Fractalia Magazine - Applied Mathematics and Recreational Computing.
A lot of things about Fractal Theory, Chaos Theory, Dynamic Systems and
more from Marius-F. Danca, editor. Website at:
http://www.scs.ubbcluj.ro/~tt7316/fractalia/
or (mirror pages):
http://members.tripod.com/~fractalia/
http://pages.codec.ro/fractalia/
http://bavaria.utcluj.ro/~mdanca/fractalia/
or e-mail:
mailto:Marius...@aut.utcluj.ro
mailto:tt7...@scs.ubbcluj.ro
The Chaos Hypertextbook
http://hypertextbook.com/chaos/
It's a compact, four chapter book for those with a little bit of
mathematical knowledge and a big curiosity about fractals and chaos. Of
particular interest are the resource pages ...
http://hypertextbook.com/chaos-links/92.shtml
(chaos & fractal software for the Macintosh)
http://hypertextbook.com/chaos-links/93.shtml
(a collection of links)
"The Computational Beauty of Nature", by Gary William Flake
Computer Explorations of Fractals, Chaos, Complex Systems, and
Adaptation
http://mitpress.mit.edu/books/FLAOH/cbnhtml/
"The Mandelbrot and Julia sets Anatomy"
http://www.people.nnov.ru/fractal/MSet/Contents.htm
or http://www.ipm.sci-nnov.ru/~DEMIDOV/MSet/contents.htm
"Chaos and Fractals: A Computer Graphical Journey"
(Ten Year Compilation of Advanced Research) by Cliff Pickover, 1998
"The Science of Fractal Images" (Peitgen, 1988)
"Chaos and Fractals" by Peitgen, Jurgens and Saupe
"Chaos" by Gleick
"The Fractal Geometry of Nature" by Benoit B. Mandelbrot
"The Algorithmic Beauty of Plants", by Aristid Lindemayer & Przemyslaw
Prusinkiewicz
"Dynamical systems and fractals" by Becker & Dorfler
"Fractal Music, Hypercards and More" by Martin Gardner
"Fractal Geometry" by Edgar
"Fractal Geometry" by Falconer
"Fractals, Chaos & Power Laws" by Schuster
"Fractals Everywhere" by Michael Barnsley (a college text book).
"Fractal Programming in Turbo Pascal" Roger T. Stevens (1990) M & T
Books
"Iteration des polynomes quadratiques complexes" by A. Douady and J. H.
Hubbard, CRAS Paris 294 (1982) 123-126.
"Complex Variables and Applications, 5th Edition" by Churchill and
Brown.
"Difference Equations" by Kelly and Peterson.
Brooks, R, Matelski, J. P. (1981) The dynamics of 2-generator
subgroups of PSL(2,C). In Riemann Surfaces and Related Topics:
Proceedings of the 1978 Stony Brook Conference. Kyra, I. and
Maskit, B. (eds.) Princeton University Press: New Jersey.
Author: Carleson, Lennart.
Title: Complex dynamics / Lennart Carleson and Theodore W. Gamelin.
Pub. Info.: New York : Springer-Verlag, 1993.
LC Subject: Functions-of-complex-variables.
Mappings-Mathematics.
Fixed-point-theory.
Author: Beardon, Alan F.
Title: Iteration of rational functions : complex analytic dynamical
systems / Alan F. Beardon.
Pub. Info.: New York : Springer-Verlag, 1991.
LC Subject: Iterative-methods-Mathematics.
Mappings-Mathematics.
James D. Murray. How The Leopard Gets Its Spots / March, 1988 / page 80
US,
page 62 Intl. Abstract: A single pattern-formation mechanism could
underlie the
wide variety of animal coat markings found in nature. Results from the
mathematical model open lines of inquiry for the biologist. Subjects:
Chladni
patterns, embryonic development, leopard, mathematical models,
melanocytes,
morphogens, reaction-diffusion mechanism, Turing.
Heinz-Otto Peitgen's "Chaos and Fractals". It covers everything:
M-set, dynamical systems, bifurcation diagrams, L-systems, etc.
Other books at http://www.cevis.uni-bremen.de/fractals/
Crowe, W., Hasson, R., Rippon, P., Strain-Clark, P. (1989) On the
structure of the Mandelbar set. Nonlinearity. 2: 541-553.
"Chapter 27, Turning a Universe Inside-Out" in Pickover, C. (1992)
Computers in the Imagination. St. Martin's Press: New York.
Hardbound books:
"Fractals for the Classroom", National Teachers of Mathematics;
Part I: Introduction to Fractals and Chaos; ISBN 0-387-97041-X,
$38.50
Part II: Complex Systems and Mandelbrot Set; ISBN 0-387-97722-8,
$38.50
http://poweredge.nctm.org/nctm/index.icl
"Chaos and Fractals: New Frontiers of Science", by Springer;
ISBN 0-387-97903-4, $64.95.
http://www.springer-ny.com/catalog/np/updates/0-387-97903-4.html
Softbound books:
Strategic Activities, Vol. 1; ISBN 0-387-97346-X, $24.50
Strategic Activities, Vol. 2; ISBN 0-387-97554-3, $24.50
Strategic Activities, Vol. 3; ISBN 0-387-98420-8, $19.95
http://poweredge.nctm.org/nctm/index.icl
Fractals - Images of Chaos
Hans Lauwerier; published in UK by Penguin Books.
Fractals by Hans Lauwerier, Princeton Science Library
Fractal Vision by Dick Oliver, Sams
Fractal Horizons : The Future Use of Fractals
Clifford A. Pickover; (1996) Hardcover Price: $20.97
Chaos in Wonderland : Visual Adventures in a Fractal World
Clifford A. Pickover; (1994) Hardcover Price: $20.97
Clifford A. Pickover; (1995) Paperback Price: $15.16
Computers, Pattern, Chaos and Beauty : Graphics from an Unseen World
Clifford A. Pickover; (1991) Paperback Price: $19.95
Mazes for the Mind : Computers and the Unexpected
Clifford A. Pickover; (1992) Hardcover Price: $23.07
Visions of the Future : Art, Technology and Computing in the
Twenty-First Century Vol 1
Clifford A. Pickover; (1994) Paperback Price: $13.56
The Loom of God : Mathematical Tapestries at the Edge of Time
Clifford A. Pickover; (1997) Hardcover Price: $29.95
Frontiers of Scientific Visualization
Clifford A. Pickover; (1994) Hardcover Price: $44.95
Spiral Symmetry
Clifford A. Pickover; (1992) Hardcover Price: $61.00
The Pattern Book: Fractals, Art, and Nature
Clifford A. Pickover; (1995) Hardcover Price: $51.00 (Back Ordered)
Fractals: A Pattern Book
Clifford A. Pickover; (1992) Paperback (Hard to Find)
Visions of the Future : Art, Technology and Computing in the
Twenty-First Century
Clifford A. Pickover; (1992) Hardcover (Hard to Find)
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http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go
http://www.fractalus.com
Viel Spaß
Hermann
--
Thomas Meisterburg
> nachstehend einige Links. Für Programme klickst Du am besten zuerst
> diejenigen an, in denen program oder software auftaucht ...
> Speziell der 4. und 5. Link sind für Dich wohl interessant.
>
> [...]
Mir fällt auf, daß Du immer unglaublich schnell unglaublich viele
Literaturhinweise zur Hand hast. Das ist äußerst praktisch. :-)
Sammelst Du sowas?
Ist Dein Archiv vielleicht sogar "online" abrufbar?
MfG
Thomas Meisterburg
--
Thomas Meisterburg Telefon: +49-173-6157915
Hinter den Höfen 17 eMail : t.meis...@gmx.de
D-33106 Paderborn ICQ : 98402481