efg's Mathematics Page

Calculators	The Calculator Home Page. Calculator.org has a number of calculator related resources, including an online scientific calculator, units conversion and constants database, and other information. www.calculator.org Calculators Online Center. Part II. Mathematics http://www-sci.lib.uci.edu/HSG/RefCalculators2.html
Geometry	Geometry Algorithms http://geometryalgorithms.com Geometry http://mathworld.wolfram.com/topics/Geometry.html Géométrie http://perso.wanadoo.fr/jpq/geometrie/index.htm Famous Curves http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html 2D Curves www.2dcurves.com
Geometry, Solid	The 5 Platonic Solids and the 13 Archimedean Solids www.scienceu.com/geometry/facts/solids
Math Reference Tables	math2.org (formerly Dave's Math Reference Tables) General, Algebra, Geometry, Trig, Discrete/Linear, Other, Stat, Calc, Advanced www.math2.org/index.xml S.O. S. Mathematics: Tables and Formulas www.math.utep.edu/sosmath/tables/tables.html
Mathematics Library/Archive	The Mathematical Atlas: Index Using Mathematics Subject Classification www.math.niu.edu/~rusin/known-math/index Front for the XXX Mathematics Archive UC Davis seach engine of xxx mathematics archives at Los Alamos http://front.math.ucdavis.edu Math Stuff Library by Don Lancaster. Included are such topics as Fourier Series, linear algebraic equations, nonlinear graphic transforms, chain codes, digital filters, halftone techniques, and similar subjects. www.tinaja.com/math01.html Mathematics Archives WWW Server http://archives.math.utk.edu/newindex.html Center for Scientific Computing Mathematical Topics www.csc.fi/math_topics Mathematics links, www.alcyone.com/max/links/maths.html
MathPages	Number Theory, Combinatorics, Geometry, Algebra, Calculus and Differential Equations, Probability and Statistics, Set Theory, History, Physics, Music http://www.seanet.com/~ksbrown
S.O.S. Mathematics	A place for students and educators to quickly access mathematical formulas University of Texas, El Paso www.math.utep.edu/sosmath/home.html Algebra, Trignometry, Calculus, Differential Equations, Complex Variables, Matrix Algebra, Mathematical Tables and Formulas
Sloane's On-Line Encyclopedia of Integer Sequences	Look up a number sequence in the database www.research.att.com/~njas/sequences
WebMath	Students, get help with your homework www.webmath.com
World of Mathematics	Eric Weisstein's World of Mathematics The Web's Most Extensive Mathematics Resource (offline now because of a legal fight between CRC Press and Eric Weisstein) http://mathworld.wolfram.com

American Mathematical Society	www.ams.org
Analytical Computing	The convergence of numeric and symbolic computation systems are making it possible to enjoy the speed of numeric computation and the flexibility and accuracy of symbolic computing. Additional resources include analytic.txt (listings) from Dr. Dobb's Sept. 2000.
Boids	Coordinated animal motion such as bird flocks and fish schools www.red3d.com/cwr/boids
DCT	Implementing Fast DCTs (Discrete Cosine Transforms) Dr. Dobb's Journal, March 1999, pp. 115-119 www.ddj.com/ftp/1999/1999_03/aa399.txt www.ddj.com/ftp/1999/1999_03/aa399.zip
Decision Tree for Optimization Software	http://plato.la.asu.edu/guide.html
Differential Equations	Differential Equations www.math.utep.edu/sosmath/diffeq/diffeq.html Spherical Harmonic Study www.lifesmith.com/spharmin.html (over 400 3D visualizations) The Spherical Harmonics Gallery Page http://www3.uniovi.es/~quimica.fisica/qcg/harmonics/harmonics.html
Forensic Mathematics	Mostly about DNA identification http://dna-view.com
Four-Color Theorem	Four-Color Theorem www.c3.lanl.gov/mega-math/gloss/math/4ct.html http://www-history.mcs.st-andrews.ac.uk/history/HistTopics/The_four_colour_theorem.html www.math.gatech.edu/~thomas/FC/fourcolor.html The Four Color Map Problem www.math.utah.edu/~alfeld/math/4color.html
Fun with Mathematics	Harry J. Smith's page: Pi, Tesseract, Gaussian Primes, Fibonacci, Ackermann's Function, Encyrption, Perfect Numbers, Mersenne Primes, Quaternions, much more http://www.geocities.com/hjsmithh/
MIT Open Courseware	Mathematics Electrical Engineering and Computer Science including classes such as Mathematics for Computer Science Introduction to Algorithms Introduction to Mathematical Programming Non-linear Programming Numerical Methods
Graphics for the Calculus Classroom	www.math.psu.edu/dna/graphics.html
Geometry	Computational Geometry Algorithms Library. The CGAL project is a collaborative effort to develop a robust, easy to use, and efficient C++ software library of geometric data structures and algorithms. www.cgal.org Geometric Paper Folding www.sgi.com/grafica/huffman Geometry in Action www.ics.uci.edu/~eppstein/geom.html Paper and Plotter: A 3D Surface www.sgi.com/grafica/surf/index.html Polyhedra Database www.netlib.org/polyhedra/index.html Geometery Junkyard www.ics.uci.edu/~eppstein/junkyard/all.html
Klein Bottle	Shown here is a glass "Klein Bottle" made in the 70s by the late Mitsugi Ohno (Mr. Ohno died on Oct. 22, 1999 from cancer), an expert glass blower at Kansas State University. A Klein Bottle is a 3D Möbius Strip. See the article "Glass Klein Bottles" in the March 1998 Scientific American "Mathematical Recreations" section (pp. 100-101) for more information. Mitsugi Ohno is truly a master artist. See also: www.math.rochester.edu:8080/misc/klein-bottle.html www.csc.fi/math_topics/Movies/Klein.html
Linear Programming FAQ	http://www-unix.mcs.anl.gov/otc/Guide/faq/linear-programming-faq.html
Math Software	http://dmoz.org/Science/Math/Software
MathEngine SDK	A game physics SDK free for non-commercial use. Developed by research mathematicians and physicists at Oxford (UK). www.mathengine.com/index.html
Mathematical Experiences through Image Processing	www.cs.washington.edu/research/metip/metip.html
Mathematical Markup Language	A low-level specification for describing mathematics as a basis for machine to machine communication. It provides a much needed foundation for the inclusion of mathematical expressions in Web pages. www.w3.org/Math Specification: www.w3.org/TR/REC-MathML
Mathematical Morphology Digest	www.cwi.nl/projects/morphology
Mathematics & Science	www.sco.com/skunkware/rr/math.html
Mathematics of Computation	Mathematics Of Computation http://mathematicshq.com/mathematicsofcomputation/
Mathematics Renderers	Comparative Review of World-Wide-Web Mathematics Renderers http://hutchinson.belmont.ma.us/tth/mmlreview
Mathematics Web Sites Around the World	www.math.psu.edu/MathLists/Contents.html
Maths Is Fun	www.mathsisfun.com
Matrices	Matrix Algebra www.math.utep.edu/sosmath/matrix/matrix.html Matrix Operations for Image Processing www.sgi.com/grafica/matrix/index.html
Petri Nets	Welcome to the World of Petri Nets www.daimi.aau.dk/PetriNets
Pi	Stu's Pi page: "The fastest pi programs on the planet for the home PC" http://home.istar.ca/~lyster/pi.html efg's Calculate Pi Using Buffon's Needles Lab Report The Monte Carlo Method to Approximate Pi: www.daimi.aau.dk/~u951581/pi/MonteCarlo/pimc.html Calculating Pi www.geocities.com/SiliconValley/Bay/9187/pi.htm http://pw1.netcom.com/~hjsmith/Pi.html Miraculous Bailey-Borwein-Plouffe Pi Algorithm (very interesting) www.mathsoft.com/asolve/plouffe/plouffe.html On the computation of the n'th decimal digit of various transcendental numbers www.lacim.uqam.ca/plouffe/Simon/articlepi.html Computation of the n'th digit of pi in any base in O(n^2) http://numbers.computation.free.fr/Constants/Algorithms/nthdigit.html Pi Home Page http://webs.adam.es/rllorens/pihome.htm Pi is irrational www.lrz-muenchen.de/~hr/numb/pi-irr.html
Prime Numbers	The Prime Pages www.utm.edu/research/primes The First 10,000 Primes www.utm.edu/research/primes/lists/small/10000.txt Great Internet Mersenne Prime Search (2^6,972,593 - 1 is prime) www.mersenne.org Perfect Numbers and Mersenne Primes http://pw1.netcom.com/~hjsmith/Perfect.html On August 31, 1998, Ray Ballinger has found a new largest known twin primes record with "Proth" written by Yves Gallot: 8353352³⁹⁰¹⁴-1 and 8353352³⁹⁰¹⁴+1 (11751 digits). For more details, see www.utm.edu/research/primes/largest.html primegen is a small, fast library to generate prime numbers in order. It generates the 50847534 primes up to 1000000000 in just 8 seconds on a Pentium II-350; it prints them in decimal in just 35 seconds. ftp://koobera.math.uic.edu/www/primegen.html David Kuestler's UseNet Post with Prime Numbers Generator C code "erato" (sieve of Eratosthenes for up to 2^32 by Jim Gillogly)
Probability Distributions	Excellent articles by Paul Bourke: Gaussian (Normal), Poisson, Gamma, Exponential, Rayleigh, Rice http://astronomy.swin.edu.au/pbourke/analysis/distributions/index.html Gamma Distribution www.terravista.pt/FerNoronha/1828/dgamma_e.htm
Ram's Horn	Cardboard model of a logarithmic spiral or maybe helix would be a better word www.tabletoptelephone.com/~hopspage/crdmdls/ramshorn.html Ram's Math www.tabletoptelephone.com/~hopspage/crdmdls/rammath.html
Random Numbers	Server on the Theory and Practice of Random Number Generators http://random.mat.sbg.ac.at Papers by Pierre L'Ecuyer about random number generation
Rounding Rules	On the Standard Rounding Rule for Multiplication and Division www.angelfire.com/oh/cmulliss/round1.html A Detailed Investigation of the Standard Rounding Rule for Multiplication and Division www.aps.org/BAPSAPR98/vpr/layc24-3.html
Significant Figures	Significant Figures and Rounding Rules www.angelfire.com/oh/cmulliss/index.html
Sound of Mathematics	www.geocities.com/Vienna/9349
Slide Rule Universe	www.sphere.bc.ca/test/sruniverse.html
Statistics & Probability	Engineering Statistics www.itl.nist.gov/div898/handbook VassarStats: Web Site for Statistical Computation http://faculty.vassar.edu/~lowry/VassarStats.html Cluster Analysis: Ben Ziegler demonstrates graphically a simple and easy clustering algorithm in Delphi. Great example. www.radix.net/~bziegler/Delphi/cluster.zip Statistical Distributions www.sisweb.com/math/stat/distributions.htm Statistics and Image Processing www.ph.tn.tudelft.nl/Courses/FIP/noframes/fip-Statisti.html StatLib (Carnegie Mellon University) http://lib.stat.cmu.edu Stony Brook Algorithm Repository Comprehensive collection of algorithm implementations of fundamental problems in combinatorial algorithms. www.cs.sunysb.edu/~algorith Statistics Links www.processbuilder.com/doe/Links/miscellaneous.htm Cross Correlation by Paul Bourke http://astronomy.swin.edu.au/~pbourke/analysis/correlate/index.html
Symbolic Computation	JACAL is an interactive symbolic mathematics program. JACAL can manipulate and simplify equations, scalars, vectors, and matrices of single and multiple valued algebraic expressions containing numbers, variables, radicals, and algebraic differential, and holonomic functions. http://www-swiss.ai.mit.edu/~jaffer/JACAL.html
Trigonometry	Trigonometry www.math.utep.edu/sosmath/trig/trig.html

ACM Collected Algorithms from Transactions on Mathematical Software	Nearly 40 years of ACM publications on mathematical algorithms. .GZ file Format: http://www.acm.org/calgo/contents ASCII Format: http://www.netlib.org/toms
Algorithms for High-Precision Finite Differences	Dr. Dobb's Journal, May 1998, pp. 52-58
Approximation	Series Approximation Techniques http://perso.wanadoo.fr/jean-pierre.moreau/c_series.html
Complex Roots	http://perso.wanadoo.fr/jean-pierre.moreau/c_complex.html
Electronic Library (eLib) for Mathematical Software	http://elib.zib.de
GAMS: Guide to Available Mathematical Software	U.S. National Institute of Standards and Technology (NIST). A cross-index and virtual repository of mathematical and statistical software components for use in computational science and engineering. http://math.nist.gov
Intel Math Kernel Library	The Intel Math Kernel Library provides developers of scientific and engineering software with a set of linear algebra (the Basic Linear Algebra Subroutines--BLAS) and fast Fourier transform functions as static and dynamic libraries for the Windows* NT* and Windows 95 operating systems. http://developer.intel.com/software/products/mkl/index.htm
MAGIC	"My Alternate Graphics and Image Code" by Dave Eberly. Includes several programs about numerical methods including eigensystems, integration, ordinary differential equations, root finders, minimizers, linear system solvers, and special functions. www.magic-software.com
Matrices	http://perso.wanadoo.fr/jean-pierre.moreau/c_matrices.html
MIT Open Courseware	Electrical Engineering and Computer Science including classes such as Numerical Methods of Applied Mathematics Numerical Methods for Partial Differential Equations
Netlib Repository	Collection of mathematical software, papers, and databases. www.netlib.org Netlib Master Index www.netlib.org/master/expanded_liblist.html
Numerical Analysis FAQ	www.mathcom.com/corpdir/techinfo.mdir/scifaq/index.html
Numerical Recipes (Book)	Home Page: www.nr.com Online PDF files www.library.cornell.edu/nr/bookcpdf.html
Roots	Roots of a Real Function http://perso.wanadoo.fr/jean-pierre.moreau/c_roots.html
Scilab	Scilab is a scientific software package for numerical computations in a user-friendly environment. http://www-rocq.inria.fr/scilab
Techniques for Scientific C++	www.extreme.indiana.edu/~tveldhui/papers/techniques
Template Numerical Toolkit	The Template Numerical Toolkit is a collection of mathematical libraries for numeric computation in C++. Its fundamental classes include vectors, matrices, and multidimensional arrays. http://math.nist.gov/tnt

Ackermann	http://pw1.netcom.com/~hjsmith/Ackerman.html
Approximations	Functional Approximations http://perso.wanadoo.fr/jean-pierre.moreau/c_function.html
Bessel Functions	Bessel Programs http://perso.wanadoo.fr/jean-pierre.moreau/c_bessel.html How to Program http://www.netlib.org/cephes/bessel.shar Bessel Function http://www.2dcurves.com/gamma/gammabs.html Symbolic and Numerical Computation on Bessel Functions of Complex Argument and Large Magnitude, http://www.cs.engr.uky.edu/~jzhang/pub/BESSEL/Symbolic.html
Complex	www.math.utep.edu/sosmath/complex/complex.html The Scientist and Engineer's Guide to Digital Signal Processing Book Home Page: www.dspguide.com/pdfbook.htm including PDF files Chapter 30 - Complex Numbers
Error Function	Complex Error Function http://users.bigpond.net.au/amiller/NSWC/dcerf.f90
Exponents	www.sisweb.com/math/algebra/exponents.htm
gamma	Complex Gamma Function http://users.bigpond.net.au/amiller/NSWC/cgamma.f90 www.math.utep.edu/sosmath/calculus/improper/gamma/gamma.html www.terravista.pt/FerNoronha/1828/fgamma_e.htm www.sisweb.com/math/integrals/more/gammafun.htm (with graph)
Linear Algebra	www.math.utep.edu/sosmath/matrix/matrix.html
Logarithms	www.math.utep.edu/sosmath/algebra/logs/log1/log1.html
Special Functions	www.sisweb.com/math/integrals/specialfuns.htm Special functions in the NSWC Math. library, including in particular Bessel, Elliptic, Fresnel Integral and many other functions. In many cases, the single precision version is accurate to about 13-14 decimals, while the double precision version is accurate to 25-27 decimals. They may be useful in double precision and quadruple precision respectively where speed is important and the full accuaracy of these precisions is not needed. http://users.bigpond.net.au/amiller/NSWC/specfunc.zip Special functions (Log Gamma, Gamma, Incomplete Gamma [both series form and continued fraction form], error function, complementary error function, modified Bessel functions of order 0 and 1) www.magic-software.com/nu_func.htm
Trigonometry	www.math.utep.edu/sosmath/trig/trig.html www.sisweb.com/math/trig/identities.htm

Arbitrary N FFT	http://hjem.get2net.dk/jjn/fft.htm
Books	Chapter 5, Processing Images in Frequency Space The Image Processing Handbook
Complex Fast Fourier Transform	The Scientist and Engineer's Guide to Digital Signal Processing www.dspguide.com/pdfbook.htm Chapter 31 - The Complex Fourier Transform
Cross Correlation	sci.image.processing post by Chris Russ (29 Sept 99): "Cross correlation in the Fourier domain is really the same as convolution with a 180 degree rotated pattern in the spatial domain. If you're looking for speed and that is the reason you're interested in an FFT-based implementation of cross-correlation, you may want to consider this equivalence." "A small spatial convolution (say under 13x13) is less numerically intensive (and usually faster) than two forward FT's a complex multiplication with the phase reversed and an inverse FT."
Fast Fourier Transform Code and Information	www.fftw.org/links.html
Fast Fourier Transform Algorithm	www.cs.cf.ac.uk/Dave/Vision_lecture/node20.html#SECTION00141500000000000000
Fast Fourier Transforms	by Dan Cross, www.intersrv.com/~dcross/fft.html
Fast Fourier Transforms	http://ourworld.compuserve.com/homepages/steve_kifowit/fft.htm
FFT code and related stuff	www.jjj.de/fxt
FFT Demystified	http://www.eptools.com/tn/T0001/INDEX.HTM
FFTW	FFTW is a C subroutine library for computing the Discrete Fourier Transform (DFT) in one or more dimensions, of both real and complex data, and of arbitrary input size. We believe that FFTW, which is free software, should become the FFT library of choice for most applications. Developed at MIT. [Winner of 1999 Wilkinson Prize for Numerical Software -- awarded by Argonne Nat'l Lab (U.S.), National Physical Laboratory (UK), Numerical Algorithms Group (UK)] www.fftw.org
Fourier	www.sisweb.com/math/advanced/fourier.htm
Fourier Theory	www.cs.cf.ac.uk/Dave/Vision_lecture/node17.html#SECTION00141200000000000000
Fourier Transform in 2D	www.vislab.usyd.edu.au/CP3/Four4/mod1.html
Fourier Transform in 2 dimensions	http://robotics.eecs.berkeley.edu/~sastry/ee20/vision2/node1.html
Fourier Transforms	www.ph.tn.tudelft.nl/Courses/FIP/noframes/fip-Fourier.html
HpW Works	The HpW Works is spectrum Analyzer for MS Windows on the Intel platform. The Analyzer uses the Fast Fourier Transformation (FFT) technique to transform the sampled data to the frequency domain. It is a way of representing a very complicated sampled data pattern in terms of its linear projection onto sinusoids of various frequency. The FFT spectrum is a power frequency graph which shows quantitatively how much of the original pattern is composed by each of the frequencies. www.hpw-works.com
Image-Pro Plus FFT Example	Remove periodic noise from Clown picture www.mediacy.com/apps/fft.htm
Image Transforms	Chapter 3, pp. 81-159 Digital Image Processing, 2nd edition
Intel Signal Processing Library	The Intel Signal Processing Library provides a set of signal processing functions for the Intel Architecture similar to those available for most Digital Signal Processors (DSPs). http://developer.intel.com/software/products/perflib/spl/index.htm
Kevin Cowtan's Book of Fourier	This is a book of pictorial 2D Fourier Transforms. These are particularly relevant to the field of X-ray crystallography, but should be of interest to anyone involved in signal processing or frequency domain calculations. www.yorvic.york.ac.uk/~cowtan/fourier/fourier.html
Properties of the 2D Fourier Transform	www.vislab.usyd.edu.au/CP3/Four4/node3.html
Real Time Speech Synthesis	www.freeyellow.com/members/jhalmen/page1.html
Signal Proecessing	FFT, Butterworth Filter, ... http://perso.wanadoo.fr/jean-pierre.moreau/c_signal.html
TFastFourier	Delphi Component, www.lohninger.com/fourier.html
2D Fourier Transform	www.ozemail.com.au/~robgc/FNotes2f.html

general	Dr. G. A. Edgar www.math.ohio-state.edu/~edgar
3D Fractal Landscapes	www.midnightbeach.com/jon/pubs/3D_Fractal_Landscapes.html
3D Strange Attractors and Similar Objects	http://ccrma-www.stanford.edu/~stilti/images/chaotic_attractors/nav.html
Animated GIFs	http://sprott.physics.wisc.edu/fractals/animated
Bifurcation	www.exploratorium.edu/complexity/CompLexicon/bifurcation.html
Brazil Fractal Builder	http://www.geocities.com/CapeCanaveral/Lab/1837
Chaos Theory	www.chaos-theorie.de (Auf Deutsch)
Clifford Pickover's Web Page.	Check out descriptions of Cliff's many books. www.pickover.com http://sprott.physics.wisc.edu/pickover/home.htm
Dynamical Systems	The Dynamical Systems and Technology Project at Boston University http://math.bu.edu//DYSYS
FAQ	Fractal Frequently Asked Questions and Answers www.faqs.org/faqs/fractal-faq
Feigenbaum Constants	www.mathsoft.com/asolve/constant/fgnbaum/fgnbaum.html
Fractal Geometry	www.ncsa.uiuc.edu/Edu/fractal/Fgeom.html
Fractal Programs & Software -- Resource Page	www.chaffey.org/fractals/programs/index.html
Fractal Terrain	Fractal Mountain Generator and Erosion Simulator www.sfu.ca/~michaec/fracmtn Generating Terrain www.geocities.com/Area51/6902/terrain.html Fractal Mountains www.photon.at/~werner/light/Mt.Fractal
Fractal Worlds I	www.thalasson.com/pjb
Fractalia	Applied Mathematics and Recreational Computing Quarterly http://pages.codec.ro/fractalia
Fractal Microscope	www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html
Fractory	An Interactive Tool for Creating and Exploring Fractals http://library.thinkquest.org/3288/fractals.html
Fractovia	third.apex.to.fractovia, www.fractovia.org
Generating Random Fractal Terrain	www.gameprogrammer.com/fractal.html
IFS	Iterated Function Systems IFS Attractors www.meden.demon.co.uk/Fractals/fractals.html Other Tiling IFSs www.meden.demon.co.uk/Fractals/tiling.html IFS Fractals Digital Encyclopedy (English or French) www.chez.com/fractals Nonlinear Iterated Function Systems www.cg.tuwien.ac.at/research/vis-dyn-syst/nifs/nlinifs.html IFS Animations www.math.ohio-state.edu/~edgar/ifs/index.html
Keplerian Fractals	Koch Snowflake -- very interesting variations www.tabletoptelephone.com/~hopspage/Kplrfrct.html
Links	Fractal Music Several dozen links in UseNet Post by Paul N. Lee
Julia and Mandelbrot Sets	On Gaston Julia's birthday on 3 Feb 2004, Google showed this logo on their search page: Gaston Maurice Julia http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Julia.html http://aleph0.clarku.edu/~djoyce/julia/wwwrefs.html The Mandelbrot and Julia sets Anatomy Contents www.people.nnov.ru/fractal/MSet/Contents.htm www.ipm.sci-nnov.ru/~DEMIDOV/MSet/contents.htm efg's Fractals Show 2 Lab Report Create Mandelbrot and Julia sets for a number of complex math functions, including z², zⁿ, z^x, z^z, exp(z), cos(z), sin(z), cosh(z), sinh(z), I0(z), J0(z), tan(z), tanh(z), sec(z), sech(z), csc(z), csch(z), cot(z), coth(z), gamma(z).
Les Paysages Fractals	IFS http://perso.wanadoo.fr/wronecki/alexandre/francais/tipe.htm
Lyapunov Exponents	efg's Lyapunov Exponents Lab Report This project describes how to compute and display the Lyapunov exponents of the logistic map with periodic forcing (and to compute and display some very interesting graphics images).
Meus Fontes em Pascal	LSM, TCAOS, Logic Chaos, Fractal.EXE www.schulers.com/jpss/pascal/fontes.htm
Mandelbrot	Benoit Mandelbrot's Home Page www.math.yale.edu/mandelbrot
Mandelbrot Sets	See Julia and Mandelbrot Sets (above) "The Area of the Mandelbrot Set" by John H. Ewing and Glenn Schober Numerische Mathematik, 61, 59-72 (1992). Introduction to the Mandelbrot Set www.olympus.net/personal/dewey/mandelbrot.html Pi and the Mandelbrot Set www.frii.com/~dboll/mandel.html www.math.ohio-state.edu/~edgar/piand.html
Multifractal Walk Down Wall Street	by Benoit B. Mandelbrot Scientific American, February 1999, pp. 70-73
sci.nonlinear FAQ	http://angst.engr.utk.edu/faq.html
Sierpinski Gasket Triangle	efg's Sierpinski Triangle Lab Report This project shows how to create a Sierpinksi gasket, a "holey" triangle, by recursively cutting holes in a triangle.
Software and the like	http://home.att.net/~Paul.N.Lee/PNL_Fract_Sftw.html
Sprott's Fractal Gallery	http://sprott.physics.wisc.edu/fractals.htm
von Koch Curve	efg's von Koch Curve Lab Report This project shows how to create a von Koch curve, including a von Koch snowflake.

A. Reference	D. Functions	G. Wavelets
B. General & Miscellaneous	E. Fourier Analysis, FFTs	H. Cryptography
C. Numerical Methods	F. Fractals and Chaos

Algorithms	Wavelets offer an attractive alternative when it comes to image compression. Steven gives us a practical guide to image compression via wavelets, and compares the results to more familiar techniques, such as JPEG. Additional resources include aa899.txt (listings) and aa899.zip (source code). Dr. Dobb's Journal, August 1999.
Amara's Wavelet Page	www.amara.com/current/wavelet.html
Bibliography	www.mathcad.com/products/we_pack.asp?page=3
Books	Wavelet Analysis with Application to Image Processing Wavelets for Computer Graphics Chapter 7, Wavelets Algorithms for Image Processing and Computer Vision
Department of Applied Science Wavelet Group	www.llnl.gov/das/wavelet/wavelet.html
MIT Open Courseware	Mathematics including "Wavelets, Filter Banks" class
MR/1	Software Package for Multiresolution Analysis www.multiresolution.com Book: Image and Data Analysis: The Multiscale Approach, Cambridge University Press, 1998.
Wavelet Digest	and E-Mail newsletter www.wavelet.org
Wavelet Forum	www.ondelette.com/indexen.html
Wavelet NetCare	www.math.wustl.edu/wavelet
Wavelet Tutorial	The Engineer's Ultimate Guide to Wavelet Analysis www.public.iastate.edu/~rpolikar/WAVELETS/WTtutorial.html
Wavelets Internet Sources	www.mat.sbg.ac.at/~uhl/wav.html
Wavelets in Scientific Computing	Ole Møller Nielsen's PhD Dissertation www.imm.dtu.dk/~omni/thesis.html
Wavelets Internet Resources	www.mat.sbg.ac.at/~uhl/wav.html
Wavelets Library	By Don Lancaster www.tinaja.com/wave01.html
Wavelets: Software and Applications	PhD Dissertation by Geert Uytterhoeven www.cs.kuleuven.ac.be/~geert/PhD

general	sci.crypt FAQ ftp://rtfm.mit.edu/pub/usenet/news.answers/cryptography-faq/ Cypherpunks, Cryptography & Hackers www.activism.net/cypherpunk
Cryp60 Documentation	http://pw1.netcom.com/~hjsmith/Cryp/CrypDoc.html
Crypto Drop Box	www.und.nodak.edu/org/crypto/crypto
Cryptography: The Study of Encryption	http://world.std.com/~franl/crypto
Cryptology	Federation of American Scientists Links www.fas.org/irp/wwwsigin.html#crypto
Digital Signature Standard	The Digital Signature Standard (DSS) specifies a Digital Signature Algorithm (DSA) appropriate for applications requiring a digital rather than written signature. www.itl.nist.gov/fipspubs/fip186.htm
Government Encryption Standard DES Takes a Fall	www.lubbockonline.com/news/062097/amateurs.htm Congratulations, Rocke!
Great Internet Mersenne Prime Search	www.mersenne.org
Microsoft's Cryptography Research page	www.research.microsoft.com/crypto
National Cryptologic Museum	www.nsa.gov:8080/museum/tour.html
NewsGroup	sci.crypt
Pittfalls	Security Pitfalls in Cryptography www.counterpane.com/pitfalls.html Why Cryptography Is Harder Than It Looks www.counterpane.com/whycrypto.html
Quadralay's Cryptography Archive	www.austinlinks.com/Crypto
RSA Algorithm	Patent to the RSA algorithm expires 21 Sept 2000. www.sonic.net/~bear/rsa.htm
RSA Data Security	www.rsasecurity.com
RSA Factoring-by-Web project	www.npac.syr.edu/factoring.html
Two Fish	The Twofish Encryption Algorithm, Dr. Dobb's Journal, December 1998. www.ddj.com/articles/1998/9812/9812b/9812b.htm
U.S. Policy	Codes, Keys and Conflicts: Issues in U.S. Crypto Policy www.acm.org/reports/acm_crypto_study/c_report.html
Yahoo! Security and Encryption	www.yahoo.com/Computers_and_Internet/Security_and_Encryption
Wassenaar Arrangement	Agreement of 33 member countries to restrict exports of 56-bit general encryption products, www.wassenaar.org

Updated	14 Jun 2009
Since	1 Nov 1998