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The solution of then-body problem

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References

  1. K.G. Andersson, Poincaré’s discovery of homoclinic points,Archive for History of Exact Sciences 48 (1994), 133–147.

    Article MATH MathSciNet  Google Scholar 

  2. J. Barrow-Green, Oscar II’s prize competition and the error in Poincaré’s memoir on the three body problem,Archive for History of Exact Sciences 48 (1994), 107–131.

    Article MathSciNet  Google Scholar 

  3. J. Bernoulli,Opera Omnia, vol. I, Georg Olms Verlagsbuchandlung, Hildesheim, 1968.

    MATH  Google Scholar 

  4. G. Bisconcini, Sur le problème des trois corps,Acta Mathematica 30 (1906), 49–92.

    Article MathSciNet  Google Scholar 

  5. E.H. Bruns, Über die Integrale des Vielkörper-Problems,Acta Mathematica 11 (1887), 25–96.

    Article MathSciNet  Google Scholar 

  6. C. Calude, H. Jürgensen and M. Zimand, Is independence an exception?Applied Math. Comput. 66 (1994), 63–76.

    Article MATH  Google Scholar 

  7. F.N. Diacu,Singularities of the N-Body Problem, Les Publications CRM, Montréal, 1992.

    MATH  Google Scholar 

  8. F.N. Diacu, Painlevé’s conjecture,The Mathematical Intelligencer 15 (1993), no. 2, 6–12.

    Article MATH MathSciNet  Google Scholar 

  9. F.N. Diacu and P. Holmes,Celestial Encounters—The Origins of Chaos and Stability. Princeton University Press (to appear in August 1996).

  10. Dieudonné, J.,A History of Algebraic and Differential Topology 1900-1960, Birkhäuser, Boston, Basel, 1989.

    Google Scholar 

  11. R.L. Goodstein,Essays in the Philosophy of Mathematics, Leicester University Press, 1965.

  12. K. Godei, Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Système,Monatshefte für Mathematik und Physik 38 (1931), 173–198.

    Google Scholar 

  13. H. Poincaré,New Methods of Celestial Mechanics (with an introduction by D.L. Goroff), American Institute of Physics, 1993.

  14. D.G. Saari, A visit to the Newtonian N-body problem via elementary complex variables,The American Mathematical Monthly 97 (1990), 105–119.

    Article MATH MathSciNet  Google Scholar 

  15. C.L. Siegel, Der Dreierstoß,Annals of Mathematics 42 (1941), 127–168.

    Article MathSciNet  Google Scholar 

  16. K. Sundman, Recherches sur le problème des trois corps,Acta Societatis Scientiarum Fennicae 34 (1907), no. 6.

    Google Scholar 

  17. K. Sundman, Nouvelles recherches sur le problème des trois corps,Acta Societatis Scientiarum Fennicae 35 (1909), no. 9.

    Google Scholar 

  18. K. Sundman, Mémoire sur le problème des trois corps,Acta Mathematica 36 (1912), 105–179.

    Article MATH MathSciNet  Google Scholar 

  19. J.B. Urenko, Improbability of collisions in Newtonian gravitational systems of specified angular momentum.SIAM f. Appl. Math. 36 (1979), 123–147.

    Article MATH MathSciNet  Google Scholar 

  20. Q. Wang, The global solution of the n-body problem,Celestial Mechanics 50 (1991), 73–88.

    Article MATH  Google Scholar 

  21. A. Wintner,The Analytical Foundations of Celestial Mechanics, Princeton University Press, Princeton, NJ, 1941.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Victoria, V8W 3P4, Victoria, British Columbia, Canada

    Florin Diacu

Authors
  1. Florin Diacu

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Additional information

Dedicated to Philip Holmes, for his deep mathematics, for his warm and candid poetry, and for the immense intellectual joy he has instilled in me during the time our book took shape.

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