Post by N.S. du ToitHi there. Can anyone recommend some good books on fractals?
Thank you
N.S.
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Books, Magazines, Articles, etc.
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For a more complete list, you might want to do a Search on "Fractal" or
"Chaos" at the following website:
http://www.amazon.com/
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:
<***@aut.utcluj.ro>
<***@scs.ubbcluj.ro>
Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society
http://www.worldscinet.com/fractals/fractals.shtml
Journals of the the latest developments in scientific research,
providing
prompt responses to the scientific community's demand for publication
in rapidly advancing fields since 1993. Journals in full text are now
available in downloadable PDF files. All abstracts are available in
HTML
format and can be accessed freely.
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, essays, software, etc.
"Fractal Art", by Liu Huajie
http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/artengb.htm
Published by Hunan Science & Technology Press,
Changsha, Hunan Province, P.R.China,1998. (255 text pages with about
100 black-white figures; plus 32 pages containing 40 color figures)
"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: New Frontiers of Science", by Heinz-Otto Peitgen,
Dietmar Saupe, H. Jurgens (Contributor), L. Yunker (Contributor). It
covers
most everything: M-set, dynamical systems, bifurcation diagrams,
L-systems, etc.
"Chaos: Making a New Science", by James Gleick (Paperback - December
1988).
"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.
"Complex Dynamics", Lennart Carleson and Theodore W. Gamelin.
Springer-Verlag (1993), New York. Functions-of-complex-variables;
Mappings-Mathematics; Fixed-point-theory.
"Iteration of Rational Functions: Complex Analytic Dynamical Systems",
Alan F. Beardon. Springer-Verlag (1991), New York.
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.
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
--Maletsky et al 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/
Softbound books:
"Fractals for the Classroom", National Council of Teachers of
Mathematics
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, $23.95
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)
A Course in Modern Geometries, 2nd Ed.--Judith N. Cederberg (ISBN
0-387-98972-2)
Advanced Fractal Programming in C--Stephens
Advances in the Complex Variable Boundary Element Method--Hromadka,
Whitley (ISBN 3-540-76194-2)
Archimedes' Revenge--Hoffman
Attractors, Biffurcations, and Chaos--Toenu Puu (ISBN 3-540-66862-4)
Beauty of Fractals, The--Peitgen and Richter
Cellular Automata and Complexity--Wolfram
Chaos--Alligood, Sauer, Yorke (ISBN 0-387-94677-2)
Chaos: A Program Collection for the PC--Korsch & Jodl
Chaos and Fractals: The Mathematics Behind...---Amer. Math. Soc.
Chaos and Fractals: New Frontiers of Science--Peitgen, Juergens, Saupe
(ISBN 0-387-97903-4)
Chaos Cookbook, The--Pritchard
Chaos for Engineers, 2nc Ed.--Tomasz Kapitaniak (ISBN 3-540-66574-9)
Chaos, Fractals, and Dynamics: Computer Experiments...--Devaney
Chaos, Fractals, and Noise, 2nd Ed.--Lasota, Mackey (ISBN 0-387-94049-9)
Chaos in Dynamical Systems--Ott
Chaos in Wonderland--Pickover
Chaos: Making a New Science--Gleick
Chaos: The New Science--Holte
Chaos Under Control--Peak & Frame
Chaotic and Fractal Dynamics--Moon
Chaotic Dynamics--Baker & Gollub
Complex Dynamics--Carleson, Gamelin (ISBN 0-387-97942-5)
Computational Statistical Physics--Hoffmann, Schreiber (ISBN
3-540-42160-2)
Computers and the Imagination--Pickover
Computer Graphics Through Key Mathematics--Huw Jones (ISBN
1-85233-422-3)
Computers, Pattern, Chaos, and Beauty--Pickover
Critical Phenomena in Natural Sciences--Didier Sornette (ISBN
3-540-67462-4)
Curves and Fractal Dimension--Tricot, Mendes France (ISBN 0-387-94095-2)
Differential Equations with Applications--Betz, Burcham & Ewing
Digital Signal Processing in Telecommunications--Anibal R.
Figueiras-Vidal (ISBN 3-540-76037-7)
Does God Play Dice? The Mathematics of Chaos--Stewart
Dynamical Systems and Fractals--Becker & Dorfler
Dynamical Systems with Applications using Maple--Stephen Lynch (ISBN
0-8176-4150-5)
Elementary Number Theory--Uspensky & Heaslet
Encounters with Chaos--Gulick
Essence of Chaos, The--Lorenz
Excursions in Number Theory--Ogilvy & Anderson
Exploring Chaos--Hall
Exploring the Geometry of Nature--Rietman
Eye for Fractals, An--McGuire
Fantasia Mathematica--Fadiman
Fourth Dimension, The--Rucker
Fractal and Chaotic Properties of Earthquakes--Christian Goltz (ISBN
3-540-64893-3)
Fractal Cosmos: The Art of Mathematical Design--Berkowitz
Fractal Creations (1st ed.)--Wegner & Peterson
Fractal Creations (2nd ed.)--Wegner & Tyler
Fractal Geometry: Math Foundations & Applications--Falconer
Fractal Geometry and Computer Graphics--Encarnacao, Peitgen et al
Fractal Geometry and Number Theory--Lapidus, van Frankenhuysen (ISBN
0-8176-4098-3)
Fractal Geometry and Stochastics--Bandt, Graf, Zaehle (ISBN
0-8176-5263-9)
Fractal Geometry and Stochastics II--Bandt, Graf, Zaehle (ISBN
3-7643-6215-4)
Fractal Geometry in Architecture and Design--C. Bovill (ISBN
0-8176-3795-8)
Fractal Geometry of Nature, The--Mandelbrot
Fractal Graphics for Windows--Oliver & Hoviss
Fractal Image Compression--Yuval Fisher (ISBN 0-387-94211-4)
Fractal Mania--LaPlante
Fractal Programming in C--Stevens
Fractal Programming and Ray Tracing with C++--Stevens
Fractal Vision: Put Fractals to Work for You--Oliver
Fractals: A User's Guide ... Natural Sciences--Hastings/Sugihara
Fractals and Chaos--Crilly, Earnshaw & Jones
Fractals and Disordered Systems, 2nd Ed.--Bunde, Havlin (ISBN
0-387-56219-2)
Fractals, Chaos, Power Laws--Schroeder
Fractals: Endlessly Repeated Geometrical Figures--Lauwerier
Fractals Everywhere (1st ed.)--Barnsley
Fractals Everywhere (2nd ed.)--Barnsley
Fractals for the Classroom, Part One: Intro...--Maletsky et al
Fractals for the Classroom, Part Two: Complex Systems--Maletsky..
Fractals: Images of Chaos--Lauwerier
Fractals: The Patterns of Chaos--Briggs
Post by N.S. du ToitFrom Five Fingers to Infinity--Swetz
From One to Zero--Ifrah
From Zero to Infinity--Reid
Game, Set and Math--Stewart
Godel, Escher, Bach--Hofstadter
Infinity and the Mind--Rucker
Journey Through Genius--Dunham
Joy of Mathematics, The--Pappas
Loom of God, The--Pickover
Magic House of Numbers--Adler
Martin Gardner's New Mathematical Diversions from Scientific American
Mathematical Magic Show--Gardner
Mathematical Tourist, The--Peterson
Mathematician's Delight--Sawyer
Mathematics Dictionary--James
Mathematics: From the Birth of Numbers--Gullberg
Mathematics in Civilization--Resnikoff & Wells
Mathematics in the Making--Hogben
Mathematics: Queen and Servant of Science--Bell
Mazes for the Mind: Computers and the Unexpected--Pickover
Men of Mathematics--Bell
More Joy of Mathematics--Pappas
New Scientist Guide to Chaos, The--Hall
Of Men & Numbers--Muir
Ordinary Differential Equations--Ince
Pattern Book, The: Fractals, Art, and Nature--Pickover
Real-World Fractals--Finlay & Blanton
Recreations in the Theory of Numbers--Beiler
Science of Fractal Images, The--Peitgen & Saupe
Source Book in Mathematics, A (2 vols.)--Smith
Strange Attractors: Creating Patterns in Chaos--Sprott
Theory of Numbers--Stewart
Turbulent Mirror--Briggs & Peat
Turing Omnibus, The--Dewdney
Understanding the New Mathematics--Rosenthal
What is Mathematics?--Courant & Robbins
World of Mathematics, The (4 vols.)--Newman
You Are a Mathematician--Wells
Your Chance to Win--Levinson
Sincerely,
P.N.L.
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http://home.att.net/~Paul.N.Lee/PNL_Fractals.html
http://www.Nahee.com/Fractals/