Classic References

 

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John Von Neumann

Glimm, J. G.; Impagliazzo, J.; and Singer, I. The Legacy of John von Neumann. Providence, RI: Amer. Math. Soc., 1990.

Macrae, N. John von Neumann. New York: Pantheon Books, 1996.

Poundstone, W. Prisoner's Dilemma: John Von Neumann, Game Theory and the Puzzle of the Bomb. New York: Anchor Books, 1993.

Regis, E. Who Got Einstein's Office?: Eccentricity and Genius at the Institute for Advanced Study. Reading, MA: Addison-Wesley, 1987.

Iyanaga, S. and Kawada, Y. (Eds.). ``Von Neumann Algebras.'' §430 in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 1358-1363, 1980.

Neumann, J. von. ``Die Eindeutigkeit der Schrödingerschen Operationen.'' Math. Ann. 104, 570-578, 1931.

Billingsley, P. Ergodic Theory and Information. New York: Wiley, 1965.

Cornfeld, I.; Fomin, S.; and Sinai, Ya. G. Ergodic Theory. New York: Springer-Verlag, 1982.

Katok, A. and Hasselblatt, B. An Introduction to the Modern Theory of Dynamical Systems. Cambridge, England: Cambridge University Press, 1996.

Nadkarni, M. G. Basic Ergodic Theory. India: Hindustan Book Agency, 1995.

Parry, W. Topics in Ergodic Theory. Cambridge, England: Cambridge University Press, 1982.

Radin, C. ``Ergodic Theory.'' Ch. 1 in Miles of Tiles. Providence, RI: Amer. Math. Soc., pp. 17-54, 1999.

Sinai, Ya. G. Topics in Ergodic Theory. Princeton, NJ: Princeton University Press, 1993.

Smorodinsky, M. Ergodic Theory, Entropy. Berlin: Springer-Verlag, 1971.

Steinhaus, H. Mathematical Snapshots, 3rd American ed. New York: Oxford University Press, pp. 237-239, 1983.

Walters, P. Ergodic Theory: Introductory Lectures. New York: Springer-Verlag, 1975.

Stephen Hawking

Boslough, J. Stephen Hawking's Universe: An Introduction to the Most Remarkable Scientist of Our Time. New York: Avon Books, 1989.

Ferguson, K. Stephen Hawking. New York: Bantam, 1992.

Filkin, D. and Hawking, S. Stephen Hawking's Universe: The Cosmos Explained. New York: BasicBooks, 1997.

Hawking, S. W. and Ellis, G. F. R. The Large Scale Structure of Space-Time. New York: Cambridge University Press, 1975.

Hawking, S.  W. A Brief History of Time: From the Big Bang to Black Holes. Toronto: Bantam Books, 1988.

Hawking, S. (Ed.). Steven Hawking's A Brief History of Time: A Reader's Companion. New York: Bantam Books, 1992.

Hawking, S. W. and Penrose, R. The Nature of Space and Time. Princeton, NJ: Princeton University Press.

Tindol, R. ``A Brief History of Nakedness.'' Engineering & Science, the Alumni Publication of the California Institute of Technology 60, 9, 1997.

White, M. and Gribbin, J. Stephen Hawking: A Life in Science. New York: Dutton, 1992.

Karl Friedrich Gauss

Asimov, I. Biographical Encyclopedia of Science and Technology; the Lives and Achievements of 1195 Great Scientists from Ancient Times to the Present, Chronologically Arranged. Garden City, NY: Doubleday, 1972.

Bell, E. T. ``The Prince of Mathematicians: Gauss.'' Ch. 14 in Men of Mathematics: The Lives and Achievements of the Great Mathematicians from Zeno to Poincaré. New York: Simon and Schuster, pp. 218-269, 1986.

Boyer, C. B. A History of Mathematics, 2nd ed. New York: Wiley, 1968.

Bühler, W. Gauss: A Biographical Study Berlin: Springer-Verlag, 1981.

Cung, N. ``Carl Friedrich Gauss.'' http://www.geocities.com/RainForest/Vines/2977/gauss/gauss.html.

Dunnington, G. W. Carl Friedrich Gauss, Titan of Science: A Study of his Life and His Work. 1959.

Gauss, C. F. Disquisitiones Arithmeticae. New York: Springer-Verlag, 1986.

Hall, T. Carl Friedrich Gauss: A Biography. Cambridge, MA: MIT Press, 1970.

Merzbach, U. C. Carl Friedrich Gauss: A Bibliography. Scholarly Resources, 1984.

Stuart Kauffman

Kauffman, Stuart. At Home in the Universe: The Search for the Laws of Self-Organization and Complexity. New York: Oxford University Press, 1995. $?.

Chaos

Bai-Lin, H. Chaos. Singapore: World Scientific, 1984.

Baker, G. L. and Gollub, J. B. Chaotic Dynamics: An Introduction, 2nd ed. Cambridge, England: Cambridge University Press, 1996.

Smith, P. Explaining Chaos. Cambridge, England: Cambridge University Press, 1998.

Cvitanovic, P. Universality in Chaos: A Reprint Selection, 2nd ed. Bristol: Adam Hilger, 1989.

Devaney, R. L. An Introduction to Chaotic Dynamical Systems. Redwood City, CA: Addison-Wesley, 1987.

Dickau, R. M. ``Magnetic Pendulum.'' http://forum.swarthmore.edu/advanced/robertd/magneticpendulum.html.

Drazin, P. G. Nonlinear Systems. Cambridge, England: Cambridge University Press, 1992.

Field, M. and Golubitsky, M. Symmetry in Chaos: A Search for Pattern in Mathematics, Art and Nature. Oxford, England: Oxford University Press, 1992.

Gleick, J. Chaos: Making a New Science. New York: Penguin, 1988.

Guckenheimer, J. and Holmes, P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 3rd ed. New York: Springer-Verlag, 1997.

Hall, N. (Ed.). Exploring Chaos: A Guide to the New Science of Disorder. New York: W. W. Norton, 1994.

Kapitaniak, T. and Bishop, S. R. The Illustrated Dictionary of Nonlinear Dynamics and Chaos. New York: Wiley, 1998.

Lichtenberg, A. and Lieberman, M. Regular and Stochastic Motion, 2nd ed. New York: Springer-Verlag, 1994.

Lorenz, E. N. The Essence of Chaos. Seattle, WA: University of Washington Press, 1996.

Moon, F.C., Chaotic and Fractal Dynamics: An Introduction for Applied
Scientists and Engineers, Wiley-Interscience, 1992.

Ott, E. Chaos in Dynamical Systems. New York: Cambridge University Press, 1993.

Ott, E.; Sauer, T.; and Yorke, J. A. Coping with Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems. New York: Wiley, 1994.

Peitgen, H.-O.; Jürgens, H.; and Saupe, D. Chaos and Fractals: New Frontiers of Science. New York: Springer-Verlag, 1992.

Poon, L. ``Chaos at Maryland.'' http://www-chaos.umd.edu.

Rasband, S. N. Chaotic Dynamics of Nonlinear Systems. New York: Wiley, 1990.

Strogatz, S.  H. Nonlinear Dynamics and Chaos, with Applications to Physics, Biology, Chemistry, and Engineering. Reading, MA: Addison-Wesley, 1994.

Tabor, M. Chaos and Integrability in Nonlinear Dynamics: An Introduction. New York: Wiley, 1989.

Tufillaro, N.; Abbott, T. R.; and Reilly, J. An Experimental Approach to Nonlinear Dynamics and Chaos. Redwood City, CA: Addison-Wesley, 1992.

Wiggins, S. Global Bifurcations and Chaos: Analytical Methods. New York: Springer-Verlag, 1988.

Wiggins, S. Introduction to Applied Nonlinear Dynamical Systems and Chaos. New York: Springer-Verlag, 1990.

Cellular Automata

--. ``The Game of Life.'' Math Horizons. p. 9, Spring 1994.

--. ``Alife online.'' http://alife.santafe.edu/alife/topics/cas/ca-faq/lifefaq/lifefaq.html.

Berlekamp, E. R.; Conway, J. H.; and Guy, R. K. ``What Is Life.'' Ch. 25 in Winning Ways, for Your Mathematical Plays, Vol. 2. London: Academic Press, 1982.

Callahan, P. ``Patterns, Programs, and Links for Conway's Game of Life.'' http://www.cs.jhu.edu/~callahan/lifepage.html.

Flammenkamp, A. ``Game of Life.'' http://www.minet.uni-jena.de/~achim/gol.html.

Gardner, M. ``The Game of Life, Parts I-III.'' Chs. 20-22 in .Wheels, Life, and Other Mathematical Amusements New York: W. H. Freeman, 1983.

Hensel, A. ``A Brief Illustrated Glossary of Terms in Conway's Game of Life.'' http://www.cs.jhu.edu/~callahan/glossary.html.

Hensel, A. PC Life distribution. http://www.mindspring.com/~alanh/lifep.zip.

Hensel, A. ``Conway's Game of Life.'' Includes a Java applet for the Game of Life. http://www.mindspring.com/~alanh/life/.

Koenig, H. ``Game of Life Information.'' http://www.halcyon.com/hkoenig/LifeInfo/LifeInfo.html.

McIntosh, H. V. ``A Zoo of Life Forms.'' http://www.cs.cinvestav.mx/mcintosh/life.html.

Poundstone, W. The Recursive Universe: Cosmic Complexity and the Limits of Scientific Knowledge. New York: W. Morrow, 1985.

Toffoli, T. and Margolus, N. Cellular Automata Machines: A New Environment for Modeling. Cambridge, MA: MIT Press, 1987.

Wainwright, R. T. ``LifeLine.'' http://members.aol.com/life1ine/life/lifepage.htm.

Wainwright, R. T. LifeLine: A Quarterly Newsletter for Enthusiasts of John Conway's Game of Life. Nos. 1-11, 1971-1973.

Weisstein, E. W. Eric's Life Glossary. http://www.treasure-troves.com/math/notebooks/LifeGlossaryWeisstein.dat.

Weisstein, E. W. ``Life.'' Mathematica notebook Life.m.