{"id":99,"date":"2014-09-30T13:57:06","date_gmt":"2014-09-30T18:57:06","guid":{"rendered":"https:\/\/pages.stolaf.edu\/cederj\/?page_id=99"},"modified":"2015-08-05T16:32:19","modified_gmt":"2015-08-05T21:32:19","slug":"fractals","status":"publish","type":"page","link":"https:\/\/pages.stolaf.edu\/cederj\/fractals\/","title":{"rendered":"Fractals"},"content":{"rendered":"

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  1. Banchoff, Thomas F.\u00a0 “Dimension” in\u00a0On the Shoulders of Giants<\/em>, Lynn Arthur Steen, Ed., National Academy Press, Washington DC 1990, 11-59.<\/li>\n
  2. Bannon, Thomas J. “Fractals and Transformations.”\u00a0Mathematics Teacher<\/em>\u00a084 (March 1991): 178-85.<\/li>\n
  3. Barcellos, Anthony “The Fractal Geometry of Mandelbrot.”\u00a0College Mathematics Journal<\/em>\u00a015 (March 1984): 98-114.<\/li>\n
  4. *<\/b>Barnsley, Michael\u00a0Fractals Everywhere.<\/em>\u00a0San Diego, CA: Academic Press, 1988.<\/li>\n
  5. Barton, Ray. “Chaos and Fractals.”\u00a0Mathematics Teacher<\/em>\u00a083 (October 1990):524-29.<\/li>\n
  6. Bedford, Crayton; “The Case for Chaos,”\u00a0The Mathematics Teacher<\/i>, April 1998, p 276-281.<\/li>\n
  7. Bennett, Dan “A Fractal Class Activity: The Sierpinski Gasket.”\u00a0Discovering Geometry Newsletter<\/em>\u00a01 (Fall 1989): 3 Berkeley, CA: Key Curriculum Press.<\/li>\n
  8. Camp, Dane R. “Benoit Mandelbrot: The Euclid of Fractal Geometry”\u00a0Mathematics Teacher.<\/em>\u00a093:8 (Nov. 2000): 708-712.<\/li>\n
  9. Camp, Dane R. “A Fractal Excursion.”\u00a0Mathematics Teacher.<\/em>\u00a084 (April 1991): 265-75.<\/li>\n
  10. Cibes, Margaret. “The Sierpinski Triangle: Deterministic versus Random Models.”\u00a0Mathematics Teacher<\/em>\u00a083 (November 1990): 617-21.<\/li>\n
  11. Devaney, Robert L.\u00a0Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics<\/em>. Menlo Park, CA: Addison-Wesley, 1990.<\/li>\n
  12. Devaney, Robert L. and Keen, Linda;\u00a0Chaos and Fractals: The Mathematics Behind the Computer Graphics<\/i>, AMS, 1989. T385.C454.<\/li>\n
  13. Devaney, Robert L,\u00a0Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets<\/i>, AMS, 1994. QA614.8.C645.<\/li>\n
  14. *<\/b>Dewdney, A.K. “Computer Recreations.”\u00a0Scientific American<\/em>, August 1985, December 1986, July 1987, November 1987, February 1989, May 1990.<\/li>\n
  15. Egsgard, John C. “An Interesting Introduction to Sequences and Series.”\u00a0Mathematics Teacher<\/em>\u00a081 (February 1988): 108-111.<\/li>\n
  16. Flake, Gary W.\u00a0The Computational Beauty of Nature.<\/em>\u00a0MIT Press, 1998.<\/li>\n
  17. Fleishmann, M., Tildesley, D.J., Ball, R.C.,\u00a0Fractals in the Natural Sciences<\/i><\/li>\n
  18. Garcia, Linda;\u00a0The Fractal Explorer\u00a0<\/i>Dynamic Press, Santa Cruz, CA 1991. JNC<\/li>\n
  19. Gilmore, Elizabeth B. “Elementary Fractal Investigation.”\u00a0Math Times Journal<\/em>\u00a01 (No. 4): 30-39.<\/li>\n
  20. Gleick, James\u00a0Chaos: Making a New Science.<\/em>\u00a0New York, NY: Viking Penguin, 1987.<\/li>\n
  21. *<\/b>Goldberger, Ary L., Rigney, David R., and West, Bruce J. “Chaos and Fractals in Human Physiology.”\u00a0Scientific American<\/em>\u00a0February 1990: 42-49.<\/li>\n
  22. Goldenberg, E. Paul “Seeing Beauty in Mathematics: Using Fractal Geometry to Build a Spirit of Mathematical Inquiry.”\u00a0MAA Note: Visualization in Teaching and Learning Mathematics<\/em>, Washington, DC: MAA, 1991.<\/li>\n
  23. Hofstadter, Douglas R. “Strange attractors: mathematical patterns delicately poised between order and chaos.”\u00a0Scientific American<\/em>\u00a0November 1981: 22-43.<\/li>\n
  24. Jrgens, Hartmut, Peitgen, Heinz-Otto and Saupe, Dietmar “The Language of Fractals.”\u00a0Scientific American<\/em>\u00a0(August 1990): 60-67.<\/li>\n
  25. Kern, Jane F. and Mauk, Cherry C. “Exploring Fractals-A Problem-solving Adventure Using Mathematics and Logo.”\u00a0Mathematics Teacher<\/em>\u00a083 (March 1990): 179-85, 244.<\/li>\n
  26. *<\/b>Mandelbrot, Benoit B.\u00a0The Fractal Geometry of Nature.<\/em>\u00a0Rev.\u00a0ed.\u00a0 New York: W.\u00a0H.\u00a0Freeman & Co., 1983.<\/li>\n
  27. *<\/b>McDermott, Joanne “Geometrical Forms Known As Fractals Find Sense in Chaos.”\u00a0Smithsonian<\/em>\u00a014 (December 1983): 110-117.<\/li>\n
  28. Martelli, Dang, Seph; “Defining Chaos,”\u00a0Mathematics Magazine<\/i>, April 1998, p 112-122.<\/li>\n
  29. *<\/b>Peitgen, Heinz-Otto, Jrgens, Hartmut, and Saupe, Dietmar\u00a0Fractals for the Classroom, Part One: Introduction to Fractals and Chaos<\/em>. New York, NY: Springer-Verlag, (Published in cooperation with, and also available from the NCTM), 1992.<\/li>\n
  30. *<\/b>Peitgen, Heinz-Otto, Jrgens, Hartmut, and Saupe, Dietmar\u00a0Fractals for the Classroom-Strategic Activities, Volume One<\/em>. New York, NY: Springer-Verlag, (Published in cooperation with, and also available from the NCTM), 1991. Includes a set of nine slides.<\/li>\n
  31. *<\/b>Peitgen, Heinz-Otto and Saupe, Dietmar (eds.)\u00a0The Science of Fractal Images.<\/em>\u00a0New York, NY: Springer-Verlag, 1988.<\/li>\n
  32. *<\/b>Peitgen, Heinz-Otto and Richter, P.H.\u00a0(eds.)\u00a0The Beauty of Fractals: Images of Complex Dynamical Systems.<\/em>\u00a0New York, NY: Springer-Verlag, 1986.<\/li>\n
  33. Peterson, Ivars “Time To Relax.”\u00a0Science News<\/em>\u00a0135 (March 11, 1989): 157-159.<\/li>\n
  34. Peterson, Ivars “Packing It In: Fractals Play An Important Role in Image Compression.”\u00a0Science News<\/em>\u00a0131 (May 2, 1987): 283-285.<\/li>\n
  35. Peterson, Ivars “Ants In Labyrinths and Other Fractal Excursions.”\u00a0Science News<\/em>\u00a021 (Jan. 21, 1984): 42-43.<\/li>\n
  36. Pickover,\u00a0The Pattern Book: Fractals, Art and Nature<\/i>, World Scientific, TR in May ’96 Monthly.<\/li>\n
  37. Sanders, Leonard M. “Fractal Growth.”\u00a0Scientific American<\/em>\u00a0January 1987: 94-101.<\/li>\n
  38. Seum, Roberta and Offerman, Theresa R. “Fractally Speaking.” A talk given at the MCTM Spring Conference, April 1990.<\/li>\n
  39. Simmt, Elaine and Davis, Brent; “Fractal Cards: A Space for Exploration in Geometry and Discrete Mathematics,”\u00a0The Mathematics Teacher<\/i>, February 1998, p 102-108.<\/li>\n
  40. Steen, Lynn A. “Fractals: A World of Nonintegral Dimensions.”\u00a0Science News<\/em>\u00a0112 (August 20, 1977): 122-123.<\/li>\n
  41. Stewart, Ian\u00a0Does God Play Dice? The Mathematics of Chaos\u00a0<\/em>. Blackwell Publishers , 1994.<\/li>\n
  42. Stewart, Ian “The two-and-a-halfth dimension.”\u00a0The Problems of Mathematics<\/em>. Oxford: Oxford University Press, 1987.<\/li>\n
  43. Thornburg, David D.\u00a0Discovering Apple Logo: An Invitation to the Art and Pattern of Nature.<\/em>\u00a0Reading, MA: Addison-Wesley, 1983.<\/li>\n
  44. Wegner, Timothy, and Peterson, Mark\u00a0Fractal Creations<\/em>. The Waite Group Press, Mill Valley, CA 1991.<\/li>\n
  45. Zobitz, Jennifer “Fractals: Mathematical Monsters.”\u00a0Pi Mu Epsilon Journal<\/em>\u00a08 (Fall 1987): 425-440.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    Banchoff, Thomas F.\u00a0 “Dimension” in\u00a0On the Shoulders of Giants, Lynn Arthur Steen, Ed., National Academy Press, Washington DC 1990, 11-59. Bannon, Thomas J. “Fractals and Transformations.”\u00a0Mathematics Teacher\u00a084 (March 1991): 178-85. Barcellos, Anthony “The Fractal Geometry of Mandelbrot.”\u00a0College Mathematics Journal\u00a015 (March 1984): 98-114. *Barnsley, Michael\u00a0Fractals Everywhere.\u00a0San Diego, CA: Academic Press, 1988. Barton, Ray. “Chaos and Fractals.”\u00a0Mathematics […]<\/p>\n","protected":false},"author":841,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-99","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/99","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/users\/841"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/comments?post=99"}],"version-history":[{"count":4,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/99\/revisions"}],"predecessor-version":[{"id":289,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/99\/revisions\/289"}],"wp:attachment":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/media?parent=99"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}