References related to "A New Kind of Science"

This page contains references relevant to my review and notes on Stephen Wolfram's "A New Kind of Science".

I can understand that Wolfram himself would not want to include references in his already overweight tome. However, it is a little annoying that he doesn't provide references in any other form—for example, on his web site, as I'm sure that he can afford the web space. [31-Oct-02] There is now a list of books that Wolfram owns and may or may not have referenced on the wolframscience website

Web Links

[5-Nov-02] W. Edwin Clark's canonical, comprehensive list of reviews of "A New Kind of Science"

Ray Kurzweil's review of "A New Kind of Science"

Leo Kadanoff's review of "A New Kind of Science"

Henry Cohn's review of "A New Kind of Science"

Patrick Gunkel's review of "A New Kind of Science"

Various Amazon readers' reviews

A book review by a reviewer who admits he's not read the book.

Cosma Shalizi's notes and references on cellular automata, which contains the wonderful description of Wolfram's book as "a rare blend of monster raving egomania and utter batshit insanity".


Abelson, Harold, Gerald Jay Sussman & Julie Sussman [1996], "Structure and Interpretation of Computer Programs", MIT Press

Ablowitz, Mark J. & B.M. Herbst [1990], "On homoclinic structure and numerically induced chaos for the nonlinear Schrödinger equation" SIAM Journal of Applied Mathematics 50 p339-351

Ablowitz, M.J. & P.A. Clarkson [1991], "Solitons, Nonlinear Evolution Equations and Inverse Scattering", Cambridge University Press

Acheson, David [1990], "Elementary Fluid Mechanics", Oxford University Press

Acheson, David [1997], "From Calculus to Chaos", Oxford University Press

Alberts, Bruce, Dennis Bray, Julian Lewis, Martin Raff, Keith Roberts & James D. Watson, "Molecular Biology of the Cell" third edition, Garland

Assenheimer, M. & V. Steinberg [1993], "Rayleigh-Bénard convection near the gas-liquid critical point", Physical Review Letters 70 p3888

Axelrod, Robert [1980], Journal of Conflict Resolution 24 p3

Axelrod, Robert [1990], "The Evolution of Cooperation", Penguin

Boolos, George S. & Richard C. Jeffrey [1989], "Computability and Logic" 3rd edition, Cambridge University Press

Bretherton C.S. & E.A. Spiegel [1983], "Intermittency through modulational instability", Physics Letters A96, 152-156

Chaitin, Gregory J. [1998], "The Limits of Mathematics", Springer-Verlag

Chalmers, D., R. French & D. Hofstadter [1992], "High-level Perception, Representation, and Analogy: A Critique of Artificial-intelligence Methodology", Journal of Experimental and Theoretical Artificial Intelligence 4 p185-211 (reprinted in Hofstadter et al [1995])

Chaté, Hugues [1994], "Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation", Nonlinearity 7 p185-204

Curry, James H., Jackson R. Herring, Josip Loncaric & Steven A. Orszag [1984], "Order and disorder in two- and three-dimensional Bénard convection", Journal of Fluid Mechanics 147 p1-38

Cvitanovic, Predrag [1989], "Universality in Chaos" second edition, Adam Hilger

Dawkins, Richard [1986], "The Blind Watchmaker", Penguin

Decker, W., W. Pesch & A. Weber, "Spiral defect chaos in Rayleigh-Bénard Convection", Physical Review Letters 73 p648

Devaney, Robert L. [1989], "An Introduction to Chaotic Dynamical Systems" second edition, Addison-Wesley

Downes, Tony et al[1998], "T.128: Multipoint application sharing", ITU Recommentation T.128

Drazin, P.G. & R.S. Johnson [1989], "Solitons: an introduction", Cambridge University Press

Drazin, P.G. [1992], "Nonlinear Systems", Cambridge University Press

Drysdale, David M. [1994], "Homoclinic Bifurcations", D.Phil thesis, University of Oxford

Egan, Greg [1994], "Permutation City", Millennium

Egan, Greg [1997], "Diaspora", Millennium

Enderton, Herbert B. [1977], "Elements of Set Theory", Academic Press

Feigenbaum M.J. [1979], "The universal metric properties of nonlinear transformations", Journal of Statistical Physics 21 p669-706 (reprinted in Hao [1984] and Cvitanovic [1989])

Fox, Charles [1963], "An Introduction to the Calculus of Variations", Dover

Frege, Gottlob [1879], "Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens" / "Begriffsschrift, a formula language, modeled upon that of arithmetic, for pure thought", Halle (reprinted in van Heijenoort [1967]).

French, Robert M. [1995], "The Subtlety of Sameness", MIT Press

Frisch, Uriel, Brosl Hasslacher & Yves Pomeau [1986] "Lattice-gas automata for the Navier-Stokes equation", Physical Review Letters 56 p1505-1508

Gell-Mann, Murray [1994], "The Quark and the Jaguar", Abacus

Gleick, James [1987], "Chaos", Cardinal

Gödel, Kurt [1930], "Über formal unentscheidbare Sätze der Principia mathematica und verwandter Systeme I" / "On formally undecidable propositions of Principia Mathematica and related systems I", Monatshefte für Mathematik und Physik 38 173-198 (reprinted in van Heijenoort [1967]).

Goldstein, Herbert [1980], "Classical Mechanics" second edition, Addison-Wesley

Gollub , J.P. & H.L.Swinney [1975], "Onset of Turbulence in a Rotating Fluid", Physical Review Letters 35 p927-930 (reprinted in Cvitanovic[1989])

Golubitsky, Martin & David G. Schaeffer [1985], "Singularities and Groups in Bifurcation Theory volume 1", Springer-Verlag

Gordon, Dan [1987], "On the computational power of totalistic cellular automata", Mathematical Systems Theory 20, p43-52

Grimmett, Geoffrey & Dominic Welsh [1986], "Probability: an Introduction", Oxford University Press

Guckenheimer, John & Philip Holmes [1983], "Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields", Springer-Verlag

Guevara, M.R., L.Glass & A.Shrier [1981], "Phase-locking, period-doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells", Science 214, p1350-1353 (reprinted in Hao[1984])

Hao, Bai-Lin [1984], "Chaos", World Scientific

Harbison, Samuel P. & Guy L. Steele Jr. [1991], "C: A Reference Manual" third edition, Prentice Hall

Hawking, Stephen [1988], "A Brief History of Time", Bantam

Hénon, M. [1976], "A Two-dimensional Mapping with a Strange Attractor", Communications in Mathematical Physics 50, p69-77 (reprinted in Hao[1984])

Hillis, W. Daniel [1990], "Co-evolving parasites improve simulated evolution as an optimization procedure", Physica D 42 p228-234

Hinkle, Peter C. & Richard E. McCarty, "How Cells Make ATP", in "Molecules to Living Cells", Philip C. Hanawalt(ed), Freeman

Hofstadter, D. & the Fluid Analogies Research Group [1995], "Fluid Concepts and Creative Analogies: Computer Models of the Fundamental Mechanisms of Thought", Basic Books

Hyman, James M., Basil Nicolaenko & Stéphane Zaleski [1986], "Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces", Physica D23 p265-292

Kaye, Richard [1991], "Models of Peano Arithmetic", Oxford University Press

Knuth, Donald E. [1981], "Seminumerical Algorithms" second edition, Addison-Wesley

Lanford, Oscar E. III [1982], "A computer-assisted proof of the Feigenbaum conjectures", Bulletin of the American Mathematical Society 6 p427-434 (reprinted in Cvitanovic[1989])

Langton, Christopher G. (ed) [1989], "Artificial Life", Addison-Wesley

Langton, Christopher G., Charles Taylor, J. Doyne Farmer & Steen Rasmussen (eds) [1992], "Artificial Life II", Addison-Wesley

Lawrie, Ian D. [1990], "A Unified Grand Tour of Theoretical Physics", Adam Hilger

Li, Tien Yien & James A. Yorke [1975], "Period Three Implies Chaos", American Mathematical Monthly 82 p985-992 (reprinted in Hao[1984])

Libchaber, A. & J. Maurer [1982], "A Rayleigh Bénard experiment: helium in a small box", Proceedings of the NATO Advanced Studies Institute on Nonlinear Phenomena at Phase Transitions and Instabilities, p259-286 (reprinted in Cvitanovic[1989])

Lorenz, Edward N. [1963], "Deterministic Nonperiodic Flow", Journal of the Atmospheric Sciences 20 p130-141 (reprinted in Hao[1984])

McCarthy, John [1960], "Recursive functions of symbolic expressions and their computation by machine", Communications of the ACM 3 p184-195

McGraw, Gary E. Jr. [1995], "Letter Spirit (Part One): Emergent High-Level Perception of Letters Using Fluid Concepts", Ph. D. thesis, Indiana University

Mandelbrot, Benoit B. [1982], "The Fractal Geometry of Nature", Freeman

Manzano, María [1999], "Model Theory", Oxford University Press

Marshall, James B. [1999], "Metacat: A Self-Watching Cognitive Architecture for Analogy-Making and High-Level Perception", Ph.D. thesis, Indiana University

May, Robert M. [1976], "Simple mathematical models with very complicated dynamics", Nature 261 459-467 (reprinted in Cvitanovic[1989])

Metropolis, N., M.L. Stein & P.R. Stein [1973], "On Finite Limit Sets for Transformations on the Unit Interval", Journal of Combinatorial Theory 15 p25-44 (reprinted in Cvitanovic[1989] and in Hao[1984])

Mischaikow, Konstantin & Marian Mrozek [1995], "Chaos in the Lorenz equations: a computer assisted proof", Bulletin of the American Mathematical Society 32 p66-72

Misner, Charles W., Kip S. Thorne & John Archibald Wheeler [1973], "Gravitation", W.H. Freeman & Company

Mitchell, Melanie [1993], "Analogy-Making as Perception: A Computer Model", MIT Press

Mitchell, Melanie [1996]. "An introductions to genetic algorithms", MIT Press

Olver, Peter J. [1986], "Applications of Lie Groups to Differential Equations", Springer-Verlag

Ormerod, Paul [1994], "The Death of Economics", Faber & Faber

Parker, T.S. & L.O. Chua [1989], "Practical Numerical Algorithms for Chaotic Systems", Springer-Verlag

Peitgen, Heinz-Otto & Deitmar Saupe (eds) [1988], "The Science of Fractal Images", Springer-Verlag

Penrose, Roger [1989], "The Emperor's New Mind", Oxford University Press

Pinker, Steven [1994], "The Language Instinct", Penguin

Popper, Karl R. [1959], "The Logic of Scientific Discovery" revised edition, Routledge

Ray, Thomas S. [1992], "An Approach to the Synthesis of Life", Artificial Life II, p371-408

Rehling, John A. [2001], "Letter Spirit (Part Two): Modeling Creativity in a Visual Domain", Ph. D. thesis, Indiana University

Reynolds, Craig [1987], "Flocks, Herds, and Schools: A Distributed Behavioral Model", Computer Graphics 21 p25

Rössler, O.E. [1976], "An equation for continuous chaos", Physics Letters A57 p397-398

Rumelhart David E., James L. McClelland & PDP Research Group [1986], "Parallel Distributed Processing: Explorations in the Microstructure of Cognition", MIT Press

Sarkovskii, A. N. [1964], "Coexistence of cycles of a continuous map of a line onto itself", Ukranian Math. J. 16, p61

Schmidhuber, Jürgen [1997], "A Computer Scientist's View of Life, the Universe and Everything", in "Foundations of Computer Science: Potential - Theory - Cognition", C. Freksa et al(eds) p201-208, Springer-Verlag (available online here)

Schneier, Bruce [1996], "Applied Cryptography" second edition, Wiley

Schutz, Bernard F. [1985], "A first course in general relativity", Cambridge University Press

Shil'nikov, L.P. [1970], "A contribution to the problem of the structure of and extended neighborhood of a rough equilibrium state of saddle-focus type", Math. USSR Sbornik 10 p91-102

Sparrow, Colin [1982], "The Lorenz Equations", Springer-Verlag

Steele, Guy L. Jr. [1990], "Common Lisp: the Language" second edition, Digital Press

Stroustrup, Bjarne [1997], "The C++ Programming Language" third edition, Addison-Wesley

Swift, Jack & Leo Kadanoff [1967], Phys. Rev. 165 p310

Takens, Floris [1981], "Detecting strange attractors in turbulence", in "Dynamical systems and turbulence", D.A. Rand & L-S Young (eds) p366-81, Springer-Verlag

Tanenbaum, Andrew S. [1984], "Structured Computer Organization", Prentice-Hall

Tanenbaum, Andrew S. [1996], "Computer Networks" third edition, Prentice-Hall

Temam, Roger [1988], "Infinite-Dimensional Dynamical Systems in Mechanics and Physics", Springer-Verlag

Thom, René [1972], "Stabilité structurelle et morphogénèse: Essai d'une théorie générale des modèles", W.A.Benjamin, Inc.

Thom, René [1989], "Structural Stability and Morphogenesis: An Outline of a General Theory of Models", Addison-Wesley

Toffoli, Tommaso [1984], "Cellular Automata as an alternative to (rather than an approximation of) differential equations in modeling physics", Physica D10 p117-127

Toffoli, Tommaso [1988], "Cellular Automata Machines as Physics Emulators", in "Impact of Digital Microelectronics and Microprocessors on Particle Physics", M. Budinich et al (eds) p154-160, World Scientific

Tufte, Edward R. [1983], "The Visual Display of Quantitative Information", Graphics Press

Tufte, Edward R. [1990], "Envisioning Information", Graphics Press

Turing, Alan [1937], "On Computable Numbers, with an Application to the Entscheidungsproblem", Proceedings of the London Mathematical Society Series 2 42 p230-265

van Heijenoort, Jean [1967], "From Frege to Gödel: A Source Book in Mathematical Logic", Harvard

Vannitsem, S. & C. Nicolis [1994], "Predictability experiments on a simplified thermal convection model: The role of spatial scales", Journal of Geophysical Research 99 D5 p10377-10385

Weigend, Andreas S. & Neil A. Gershenfeld [1994], "Time Series Prediction: Forecasting the Future and Understanding the Past", Addison-Wesley

Whitehead, Alfred North & Bertrand Russell [1910], "Principia Mathematica", Cambridge University Press

Whitney, H. [1936], "Differentiable manifolds", Annals of Mathematics 37 p645-680

Williams, Garnett P. [1997], "Chaos Theory Tamed", Taylor & Francis

Winston, Patrick Henry [1992], "Artificial Intelligence", Addison-Wesley

Wolfram, Stephen [1996], "The Mathematica Book" third edition, Cambridge University Press

Zuse, Konrad [1967], "Rechnender Raum", Elektronische Datenverarbeitung 8 p336-344 (available online here)

Zuse, Konrad [1969], "Rechnender Raum", Friedrich Vieweg & Sohn (translated as "Calculating Space", MIT Technical Translation AZT-70-164-GEMIT, available online here)

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