LOGO-L> Talking about the Logistic Function and Phase State Diagrams

[fajoy@uio.satnet.net]

                          Amateur Mathematics Journal

                          Amateur Mathematics Journal

     This page is intended to be a /moderated/ electronic journal where
     the amateur mathematician can publish descriptions of personal
     investigations into unusual or interesting aspects of mathematics.
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     July 18th, 1997: I posted this web page eight months ago, and sent
     the URL to many search engines. I have received 4 requests for
     homework assistance, two inquieries about the contents of articles,
     and one positive comment. There have been no contributions; no
     discussion. That's it!

     If you come across this page and find the content of interest, you
     might drop me a note. Right now my plan is to not renew the contract
     with the www provider. Just trying to be realistic....

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     INTRODUCTION

     My name is Harold Brochmann. I am a retired teacher living on
     Saltspring Island BC, Canada.

     My interests are:
       * Sailing: My wife and I have a Catalina 27 and belong to
         Saltspring Island Sailing Club.
       * Mathematics: Complexity Theory (Chaos), Fractal Geometry.
       * Computing: Languages, Genetic Algorithms.
       * Philosophy: The Social Contract, Curricula.
       * Tutoring by e-mail: Do you need help with your math? [1]

     ----------------------------------------------------------------------
     ARTICLES

     Your participation is invited.
     Please consider publishing something here.
     E-mail contributions to me. [2]  I can convert to html.
     Material will be edited.

     *Agenda*:
       * The Cabal [3] .
         Join a conspiracy to undermine the established order!

     *Investigations in Mathematics*:
       * Introduction to Genetic Algorithms. [4]
         Describes output of a demonstration GA program.
       * Ballistics of Falling Bombs. [5]
         Equations used to calculate trajectories. Pascal listing.
       * Iteration and Recursion [6]
         HyperTalk and Pascal procedures that illustrate recursion.
       * Precision and Accuracy [7]
         An important, but neglected arithmetic topic.
       * Phase State Diagrams [8]
         What are they?
       * Chaos vs Determinism
         * Part 1: Recursive vs Newtonian Functions [9] .
           Two ways of calculating.
         * Part 2: The Real World [10] .
           How do things work in reality?
         * Part 3: The Logistic Function [11] .
           A study of population growth and extinction.

       * Fractal Geometry
         * Part 0: Introduction [12]
         * Part 1: Dimension [13]
         * Part 2: Self Similarity [14]
         * Part 3: Coastlines [15]
         * Part 4: Sierpinsky Carpet [16]
         * Part 5: The Mandelbrot Set [17]

     *Philosophy*

       * Experientialism vs Objectivism [18]
       * Why Teach Mathematics? [19]

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     Links

     Paul Ernest's Page  [20]
     Contains some exellent articles from the Philosophy of Mathematics
     Education newsletter.
     CAIN Computer Algebra Hope Page. [21]
     Links to sites that provide demo software (Maple, Mathematica, etc.),
     lesson plans and other materials related to computer based algebra
     systems.
     G"del, Escher, Bach  [22]
     A symphony of interesting stuff compiled for a course in mathematics
     by linguist John Lawler.
     Tutorial in Chaos and Fractals [23]
     Want to learn more?
     Arlington [24]
     Interesting military site including many articles on history of the
     computer.
     Mathematical Information Servers [25]
     A world of links to lectures, software and more.
     ----------------------------------------------------------------------

     If you have questions, comments or suggestions about, wish to
     contribute to the contents of this page, or know of appropriate
     links; please e-mail me at: hbrochmann@saltspring.com [26] .
     ----------------------------------------------------------------------
     ----------
     Site notes:
       [1] tutor/tutor.html
       [2] mailto:hbrochmann@saltspring.com
       [3] Agenda/cabal-00.html
       [4] GA/GA-1.00.html
       [5] Ballistic/Ball-1.00.html
       [6] Recursion/Recur-1.00.html
       [7] Precision/Prec-1.00.html
       [8] Phase100.html
       [9] chaos100.htm
       [10] chaos200.htm
       [11] chaos300.htm
       [12] fract000.htm
       [13] fract100.htm
       [14] fract200.htm
       [15] fract300.htm
       [16] fract400.htm
       [17] fract500.htm
       [18] Philosophy/ObjvsExp-1.00.html
       [19] Why100.htm
       [20] http://www.ex.ac.uk/~PErnest/welcome.html
       [21] http://www.can.nl/CAIN.html
       [22] http://www.lsa.umich.edu/ling/jlawler/geb.html
       [23] http://archives.math.utk.edu/tutorials.html
       [24] http://web.arl.mil/
       [25] http://www.math.psu.edu/OtherMath.html#general
       [26] mailto:hbrochmann@saltspring.com


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Wouldn't it be nice to do some of this things in LOGO!
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