Non-Fiction and Fiction Books and Journal Articles Dealing with Fractals and Chaos

Abbott, Edwin A. (1884). Flatland. New York, NY, Dover.

Abraham, Ralph (1976). "Simulation of cascade by video feedback in:"Structural Stability, the Theory of Catastrophes, and Applications in the Sciences"." Lecture Notes in Mathematics 525: 10-14.

Abraham, Ralph and Shaw, Christopher (1982). Dynamics: The Geometry of Behavior: Part I: Periodic Behavior. Santa Cruz, California, Aerial Press Inc.

Abraham, Ralph and Shaw, Christopher (1983). Dynamics: The Geometry of Behavior: Part II: Chaotic Behavior. Santa Cruz, California, Aerial Press Inc.

Abraham, Ralph and Shaw, Christopher (1985). Dynamics: The Geometry of Behavior: Part III: Global Behavior. Santa Cruz, California, Aerial Press Inc.

Abraham, Ralph and Shaw, Christopher (1989). Dynamics: The Geometry of Behavior: Part IV: Bifurcation Behavior. Santa Cruz, California, Aerial Press Inc.

Barnsley, Michael (1988). Fractals Everywhere. San Diego, California, Academic Press.

Bass, Thoamas A. (1985). The Eundaemonic Pie. Boston , Massachusetts, Vintage Press`.

Bergé, Pierre, Pomeau, Yves and Vidal, Christian (1984). Order Within Chaos. Paris, France, John Wiley & Sons, Inc.

Bradbury, Ray (1953). A Sound of Thunder. The Golden Apples of the Sun . London, England, Rupert Hart-Davis Ltd. 101-113.

Briggs, John (1989). Turbulent Mirror. New York, N.Y., Harper and Row, Pubishers.

Briggs, John (1992). Fractals The Patterns of Chaos. New York, NY, Simon and Schuster.

Butler, Francis (1989). "FractaSketch Review." BMUG Winter 1989 Newsletter V:

Cantor, Georg (1883). "Über unend, lineare Punktmannigfaltigkeiten V." Mathematische Annalen 21 : 545-591.

Cantor, Georg (1884). "De la puissance des ensembles parfait de points." Acta Mathematica :

Carpeter, Loren (1980). "Computer rendering of fractal curves and surfaces." Computer Graphics : 109.

Cayley, Arthur (1879). "Newton- Fourier imaginary problem." American Journal of Mathematics 2 :

Clark, Arthur C. (1990). The Ghost from the Grand Banks. New York, NY, Bantam Books.

Craig, Edith and Craig, Donald (2004). "Essays Presented to Professor Benoit Mandelbrot 80th Birthday." The Psychodynamics of the M-Set :

Cremer, Hubert (1925). "Über die Iteration rationaler Funktionen." Jahresberichte der Deutschen Mathematischen Vereinigung 33 : 185-210.

Crichton, Michael (1990). Jurassic Park. New York, NY, Ballantine Books.

Devaney, Robert (1989). Chaos, Fractals, and Dynamics. Reading, MA, Addison-Wesley.

Dewdney, A. K. and Peitgen, Heinz Otto (1985 August). "Mathematical Recreations (The Art of Fractals )." Scientific American : 16-20.

Duffing, G. (1918). Erzwungene Schwingungen bei Veränderlicher Eigenfrequenz. Vieweg: Braunschweig.

Duly, Colin (1979). The Houses of Mankind. Blacker Calmann Ltd.

Edgar, Gerald A., Ed. (1993). Classics on Fractals. Studies in Nonlinearity. Reading, MA, Addison Wesley.

Eglash, Ron (1990). Fractals in African Architecture. University of California at Santa Cruz.

Eglash, Ron and Broadwell, Peter (1989). "Research Report on Fractal Geometry in Traditional African Architecture." Dynamic Newsletter : 8-9.

Engel, Peter (1989). Folding the Universe. Vintage Press.

Farmer, Doyne, Packard, Norman. H., Crutchfield, Jim P. and Shaw, Robert S. (1985 December). "Chaos." Scientific American :

Fatou, Pierre (1906). "Sur les solutions uniformes de certaines équations fonctionnelles." Comptes rendus : 546-548.

Feder, Jens (1988). Fractals. New York, NY, Plenum Press.

Fitch, G. D. (1910). The Fourth Dimension Simply Explained. New York,

Fuller, Buckminster (1975). Explorations in the Geometry of Thinking Synergetics. New York, NY, Macmillan Publishing Co.

Garcia, Linda, Roy, Peter van, Wahl, Bernt, Levenberg, Cory, Larsen, Michael and Miranda, Celene de (1991). The Fractal Explorer. Santa Cruz, CA, Dynamic Press.

Gardner, Martain (1967 April). "Mathematical Recreation (Dragon Curve)." Scientific American : 117-120.

Gardner, Martin (1976 December). "Mathematical Games." Scientific American : 124-133.

Gardner, Martin (1985 August). "Computer Recreations." Scientific American : 8-14.

Gleick, James (1987). Chaos Making a New Science. New York, New York, Viking Pengin Inc.

Goldberger, Ary L., Rigney, David R. and West, Bruce (1990 (February)). "Chaos and Fractals in Human Physiology." Scientific American : 38-48.

Gray, Theodore and Glynn, Jerry (1991). Exploring Mathematics with Mathematica. Redwood City, CA, Addison-Wesley.

Hansen, Carl (1992). Hilbert Curve Problem. Berkeley, CA,

Harrison, Jenny (1989). An Introduction to Fractals. Providence, RI, American Mathematical Society.

Hausdorff, Felix (1918). Dimension und äußeres Maß. Grundzüge der Mengenlehre . Leipzig, Germany,

Hayes, Andrew W. (1990). "Chaos and Law." : 174.

Hénon, Michael (1976). "A two-dimensional mapping with a strange attractor." Comm. Mathematic and Physics :

Hermite, C. and Stielties, T. J. (1905). Correspondance d'Hermite et de Stieltjes. Paris, France, B. Baillaud and H. Bourget.

Inc., Apple Computer (1992). Inside Macintosh. . Reading, MA, Addison Wesley.

Jones, Jesse (1993). Fractals for the Macintosh. Corte Medere, CA, Waite Group.

Julia, Gaston (1918). "Memoire sur l'iteration des fonctions rationalles." Journal de Mathematics Pure et Appl. 8 : 47-245.

Kampman, Eric (doc) (1994) Fractus:IFS 1.01 Berkeley, California Dynamic Software

Koch, Helge von (1904). "Sur une courbe continue sans tangente obtenue par une construction géométrique élémentaire." Arkiv för Matematik, Astronomi och Fysik vol. 1 : pages 681-704.

L'engle, Madeleine (1962). A Wrinkle in Time. New York. NY, Dell Publishing.

Larsen, Michael (1989) MandelMovie 1.88 Santa Cruz, California Dynamic Software

Lauwerier, Hans (1991). Fractals Endlessly Repeated Geometrical Figures. Princeton, NJ, Princeton University Press.

Lehner, Ernst and Lehner, Johanna (1960). Folklore and Symbolisum of Flowers, Plants and Trees. Tudor Publishing Company.

Lévy, Paul (1938). Les courbes planes ou gauches et les surfaces composée de parties semblades au tout.

Lorenz, Edward N. (1963). "Deterministic non-periodic flow." Journal of Atmospheric Sciences : 130-141.

Mandelbrot, Benoit (1967). "How Long is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension." Science (155): 636-638.

Mandelbrot, Benoit (1975). Les objets fractals: forme, hasard et dimension. Paris, France,

Mandelbrot, Benoit B. (1977). Fractals: Form, Chance and Dimension. New york, NY, W. H. Freeman and Company.

Mandelbrot, Benoit B. (1982). The Fractal Geometry of Nature. New York, New York, W. H. Freeman & Company.

McGuire, Michael (1991). An Eye For Fractals. Reading Massachusetts, Addison-Wesley.

McWhirter, Norris D. and McWhirter, Ross (1990). The 1991 Guinness Book of World Records. New York, NY, Guinness Publishing.

McWorter, William A. and Tazelaar, Jane Morrill (1987). "Creating Fractals." Byte : 123-127.

Menger, Karl (1926). Allgemeine Räume und Cartesische Räume. Amsterdam Academy of Sciences.

Moritz, Robert E., Ed. (1914). Memorabilia Mathematica. New York, NY, Macmillan Co.

Newton, Isaac (1686). Philosophiae Naturalis Principia Mathematica. London, England,

Oliver, Dick (1992). FractalVision. Carmel,IN, Sams Publishing.

Pappas, Theoni (1989). The Joy of Mathematics. San Carlos, California, Wide World Publishing/Tetra.

Peano, Guiseppe. (1890). "Sur une courbe, qui remplit toute une aire plane." Mathematische Annalen 36: 157-160.

Peitgen, Heinz-Otto, Jürgens, Hartmut and Suaupe, Dietmar (1992). Chaos and Fractals. New York, NY, SpringerVerlag.

Peitgen, Heinz-Otto and Richter, Peter H. (1986). The Beauty of Fractals. Berlin Heidelberg, West Gernany, Springer-Verlang.

Peitgen, Heinz-Otto, Richter, Peter H., Jürgens, Hartmut and Saupe, Dietmar (1990 August). "The Language of Fractals." Scientific American : 60-67.

Peitgen, Heinz-Otto, Saupe, Dietmar, Mandelbrot, Benoit B., Voss, Richard F., Barnsley, Michael and Devaney, Robert L (1988). The Science of Fractal Images.

Peterson, Ivans (1988). The Mathematical Tourist. New York, New York, Freeman & Company.

Pickover, Clifford (1990). Computer Pattern Chaos and Beauty. New York, NY, St. Martin's Press.

Poincaré, Henri (1916). Oeuvres de Henri Poincaré. Paris, France, Gauthier Villars.

Price, Jonathan and others, Bernt Wahl Chapter 3 Fractals (1994). Virtual Plathouse for the Macintosh. Indianapolis, IN Hayden Books

Prusinkiewicz, Przemyslaw and Linenmayer, Aristid (1990). The Algorithmic Beauty of Plants. New York, NY, Springer-Verlag.

Richardson, Lewis Fry (1922). Weather Prediction by Numerical Process. Cambridge, England, Cambridge University Press.

Richardson, Lewis Fry (1960). Arms and Insecurity: a Mathematical Study of the Causes and Origins of War. Pacific Grove, CA, Boxwood Press.

Rössler, Otto E. (1976). "An equation for continuous chaos." Physics Letters 57A: 397-398.

Roy, Peter Van (1987) FractaSketch 2.0 Santa Cruz, California Dynamic Software

Roy, Peter Van (1989). "Designer Fractal: Mathematics for the 21st Century." BMUG Winter1989 Newsletter :

Roy, Peter Van and Tichtiegal, D. von (1994). Can Logic Programing Execute as Fast as Imperative Programing? Conference on Logic Programming,

Roy, Peter Van and Wahl, Bernt (1989). "FractaSketch: A Tool for Exploring Fractal Geometry." Wheels for the Mind : 52-54.

Rudofsky, Bernard (1964). Architecture without Architects. New York, NY, Doubleday Press.

Schroeder, Manfred (1991). Fractals, Chaos, Power Laws. New York, NY, W. H. Freeman.

Sierpinski, W (1915). Sur une courbe cantorienne dont tout point est un point de ramification. C. R. Acadamy, Paris,

Stevens, Roger (1989). Fractal Programing in C. Redwood City, California, M & T Publishing.

Stoppard, Tom (1993). Arcadia. London, Faber and Faber.

Thompson, J. M. T. and Stewart, H. B. (1986). Nonlinear Dynamics and Chaos. Suffolk, Great Britain, John Wiley & Sons Ltd.

Wahl, Bernt (1986) Chaos: Mathematics for the 21st Century 1.0 Santa Cruz, California Dynamic Software

Wahl, Bernt (1987). Zen and the Art of Chaos. University of California at Santa Cruz.

Wahl, Bernt (1989). "Mathematica: A Step Forward." Dynamic Newsletter : 2-7.

Wahl, Bernt (1996). The Adventures of the Fractal Explorer (Fractaland). Santa Cruz, CA, Dynamic Publishing.

Wahl, Kristina (1993). Fractus Translation. Hildesheim, Germany,

Wegner, Timothy and Peterson, Mark (1991). Fractal Creations. Corte Medera, CA, Waite Group.

Weierstrass, Karl (1872). Über Continuirliche Functionen eines reellen Arguments, die für keinen Werth des Letzteren einen bestimmten Differentialquotien besitzen. Royal Prussian Academy of Science.


Main Back