Back to NCTM San Diego: Presentation Summary
Abelson, H. & diSessa, A. (1980). Feedback, Growth and Form. In Turtle Geomery (Chapter 2). Cambridge: MIT Press,.Albers & Alexander (1985). Benoit Mandelbrot. In Mathematical People (pp. 207-225). Birkhauser.
Banchoff, T. (1990). Beyond the Third Dimension. New York: W.H. Freeman & co.
Bannon, T. J. (1991). Fractals and Transformations. Mathematics Teacher, 84, March, 178-185.
Barcellos, A. (1984). The Fractal Geometry of Mandelbrot. The College Mathematics Journal, 15, March, 98-119.
Cherbit, G. (Ed.) (1991). Fractals: Non-integral Dimensions and Applications. Chichester: John Wiley and Sons.
Choate, J. (1992). Fractals and Chaos in the Secondary Classroom. 4th. International Conference on Technology in Collegiate Mathematics.
Choate, Devaney & Susskind (1992). Fractals and Chaos in Secondary Mathematics: A Gaming Approach. Nashville NCTM Research Session (March 31, 1992).
Devaney, R. L. (1990). Chaos, Fractals and Dynamics: Computer Experiments in Mathematics. Menlo Park: Addison-Wesley.
Dekking, F. M. (1982). Recurrent Sets. Advances in Mathematics, 44, 78-104.
Edgar, G. A. (1990). Measure, Topology, and Fractal Geometry. New York: Springer-Verlag.
Editor. (1984). Interview: Benoit B. Mandelbrot. Omni, , Feb, 65-66, 102-107.
Falconer, K. J. (1990). Fractal Geometry: Mathematical Foundations and Applications. Chichester: John Wiley and Sons.
Feder, Jens (1988). Fractals. New York: Plenum Press.
Frantz & Lazarnick (1991). The Mandelbrot Set in the Classroom. Mathematics Teacher, 84, March, 173-177.
Garcia, L. (1991). The Fractal Explorer. Santa Cruz: Dynamic Press.
Gardner, M. (1977). The Dragon Curve. In Mathematical Magic Show (pp. 207-209, 215-220). New York: Knopf.
Gardner, M. (1989). Mandelbrot¹s Fractals. In Penrose Tilings and Trapdoor Ciphers (Chapter 3). New York: W. H. Freeman & co.
Gleick, J. (1985). The Man Who Reshaped Geometry. New York Times, December 8, section 6, pp. 64, 112-116, 123-124.
Gleick, J. (1987). Chaos: Making a New Science. New York: Viking Press.
Hahn, H. (1954). Geometry and Intuition: A classical description of how 'common sense', once accepted as a basis of physics but now rejected, is also inadequate as a foundation for mathematics. Scientific American, 190, April, 84-91.
Haldane, J. B. S. (1956). On Being the Right Size. In J. R. Newman (Ed.) The World of Mathematics, vol. 2 (Original published in 1928). New York: Simon & Schuster.
Jurgensen, Brown & Jurgensen (1992). Geometry. Boston: Houghton Mifflin Co.
Lauwerier, H. (1991). Fractals: Endlessly Repeated Geometrical Figures. Translated by S. Gill-Hoffstädt. Princeton: Princeton University Press.
LeMehaute, A. (1990). Fractal Geometries: Theory and Applications. Translated by Howlett, J. Boca Raton: CRC Press.
Lovejoy, S. (1982). Area-Perimeter Relation for Rain and Cloud Areas. Science, 216, April 9, 185-187.
Mandelbrot, B. B. (1967). How Long is the Coast of Britain? Statistical Self-Similarity and Fractal Dimension. Science, 156, May 5, 636-638.
Mandelbrot, B. B. (1978). Getting Snowflakes into Shape. New Scientist, 78, June22, 808-810.
Mandelbrot, B. B. (1981a). Fractals and the Geometry of Nature. In Encyclopedia Brittanica 1981 Yearbook of Science and the Future (pp. 168-181). Encyclopedia Brittanica.
Mandelbrot, B. B. (1981b). Scalebound or Scaling Shapes: A Useful Distinction in the Visual Arts and in the Natural Sciences. Leonardo, 14, 45-47.
Mandelbrot, B. B. (1983). The Fractal Geometry of Nature. New York: W. H. Freeman and co.
Mandelbrot, B. B. (1989). Fractal Geometry: What is it, and what does it do?. In M. Fleischmann (Ed.) Fractals in the Natural Sciences. Princeton: Princeton University Press.
McDermott, J. (1983). Geometrical Forms Known as Fractals Find Sense in Chaos. Smithsonian, 14, December, 110-117.
McGuire, M. (1991). An Eye for Fractals. Redwood City: Addison-Wesley.
McWorter & Tazelaar (1987). Creating Fractals. Byte, 12, August, 123-134.
Peterson, I. (1984). Ants in the Labyrinth and Other Fractal Excursions. Science News, 125, 42-43.
Peitgen, Jurgens & Saupe (1990). The Language of Fractals. Scientific American, 263, August, 60-67.
Peitgen, Jurgens & Saupe (1992). Fractals for the Classroom. New York: Springer-Verlag.
Peterson, I. (1988). The Mathematical Tourist: Snapshots of Modern Mathematics (Chapters 5 and 6). New York: W. H. Freeman and co.
Richards, J. (1988). Mathematical Visions: the pursuit of geometry in Victorian England. San Diego: Academic Press.
Richardson, L. F. (1961). The Problem of Continuity. In General Systems Yearbook, 6, 139.
Sander, L. M. (1987). Fractal Growth. Scientific American, 256, January, 94-100.
Schechter, B. (1982). A New Geometry of Nature. Discover, 3(6), June, 66-68.
Schechter, B. (1987). Fractal Fairy Tales. Omni, October, 87-91.
Stauffer & Stanley (1989). From Newton to Mandelbrot (Chapter 5: Fractals in Theoretical Physics). New York: Springer-Verlag.
Steen, L. A. (1977). Fractals: a world of nonintegral dimensions. Science News, 112, 122-123.
Steen, L. A. (1988). For All Practical Purposes. New York: W. H. Freeman and co.
Wallace, M. (1991). Teaching New Mathematics: A Case Study. Presented at the NCTM 5-8 Research Catalyst Conference, Dec, 1991 (Miami). To appear.
West & Goldberger (1987). Physiology in Fractal Dimensions. American Scientist, 75, July-August, 354-365.
Mark F. Harbison
Sacramento City College, CA
email: MHfractal@aol.com
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