• Dietrich Stauffer
  • H. Eugene Stanley


Theoretical physics is the first science to be expressed mathematically: the results of experiments should be predicted or interpreted by mathematical formulae. Mathematical logic, theoretical chemistry and theoretical biology arrived much later. Physics had been understood mathematically in Greece more than 2000 years earlier, for example the law of buoyancy announced by Archimedes — lacking The New York Times — with Eureka! Theoretical Physics first really came into flower, however, with Kepler’s laws and their explanation by Newton’s laws of gravitation and motion. We also shall start from that point.


Angular Momentum Rigid Body Point Mass Hamilton Function Vortex Line 
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  1. 1.
    W.G. Hoover, Computational Statistical Mechanics (Elsevier, Amsterdam 1991)Google Scholar
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    H.G. Schuster, Deterministic Chaos (Physik Verlag, Weinheim, second edition 1989);zbMATHGoogle Scholar
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    M. Schroeder, Fractals» Chaos, Power Laws (Freeman, New York 1991);Google Scholar
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    J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields (Springer, Berlin, Heidelberg 1983)Google Scholar
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    E.L. Andronikashvili and Yu.G. Mamaladze, p. 79 in: Progress in Low Temperature Physics, vol. V, edited by C.J. Gorter (North Holland, Amsterdam 1967)Google Scholar
  6. 1.
    See, e.g., B. Mandelbrot: The Fractal Geometry of Nature (Freeman, New York, San Francisco 1982); also Physica D 38 (1989).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Dietrich Stauffer
    • 1
  • H. Eugene Stanley
    • 2
  1. 1.Institut für Theoretische PhysikUniversität KölnKölnGermany
  2. 2.Department of PhysicsCenter for Polymer StudiesBostonUSA

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