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02 I want to learn about fractals. What should I read/view first?




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This article is from the sci.fractals FAQ, by Michael C. Taylor and Jean-Pierre Louvet with numerous contributions by others.

02 I want to learn about fractals. What should I read/view first?

"Chaos: Making a New Science", by James Gleick, is a good book
to get a general overview and history that does not require an
extensive math background. "Fractals Everywhere," by Michael Barnsley,
and "Measure Topology and Fractal Geometry", by G. A. Edgar, are
textbooks that describe mathematically what fractals are and how to
generate them, but they requires a college level mathematics
background. "Chaos, Fractals, and Dynamics", by R. L. Devaney, is also
a good start. There is a longer book list at the end of the FAQ (see
"What are some general references?").

Also, there are networked resources available, such as :

Exploring Fractals and Chaos
http://www.lib.rmit.edu.au/fractals/exploring.html

Fractal Microscope
http://www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html

Dynamical Systems and Technology Project: a introduction for
high-school students
http://math.bu.edu/DYSYS/dysys.html

An Introduction to Fractals (Written by Paul Bourke)
http://www.mhri.edu.au/~pdb/fractals/fracintro/

Fractals and Scale (by David G. Green)
http://life.csu.edu.au/complex/tutorials/tutorial3.html

What are fractals? (by Neal Kettler)
http://www.vis.colostate.edu/~user1209/fractals/fracinfo.html

Fract-ED a fractal tutorial for beginners, targeted for high
school/tech school students.
http://www.ealnet.com/ealsoft/fracted.htm

Mandelbrot Questions & Answers (without any scary details) by Paul
Derbyshire
http://chat.carleton.ca/~pderbysh/mandlfaq.html

Godric's fractal gallery. A brief introduction to Fractals clear and
well illustrated explanations
http://www.gozen.demon.co.uk/godric/fracgall.html

Lystad Fractal Info complex numbers and fractals
http://www.iglobal.net/lystad/lystad-fractal-info.html

Fractal eXtreme: fractal theory theoritical informations
http://www.cygnus-software.com/theory/theory.htm

Frode Gill Fractal pages mathematical and programming data about
classical fractals and quaternions
http://www.krs.hia.no/~fgill/fractal.html

Fractals: a history
http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/history.html

Basic informations about fractals
http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl1a.html

Fantastic Fractals a very comprehensive site with tutorials for
beginners and more advanced readers, workshops etc.
http://library.advanced.org/12740/cgi-bin/welcome.cgi

Chaos, Fractals, Dimension: mathematics in the age of the computer by
Glenn Elert. A huge (>100 pages double-spaced) essay on
chaos, fractals, and non-linear dynamics. It requires a
moderate math background, though is not aimed at the
mathematician.
http://www.columbia.edu/~gae4/chaos/

Mathsnet this site has several pages devoted to fractals and complex
numbers.

http://www.anglia.co.uk/education/mathsnet/

Fractals in Your Future by Ronald Lewis <ronlewis@sympatico.ca>
http://www.eureka.ca/resources/fiyf/fiyf.html

 

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