Bulletin of the American Mathematical Society

George David Birkhoff and his mathematical work

Marston Morse

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Article information

Source
Bull. Amer. Math. Soc., Volume 52Number 5, Part 1 (1946), 357-391.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183507914

Mathematical Reviews number (MathSciNet)
MR0016341

Zentralblatt MATH identifier
0060.01409

Citation

Morse, Marston. George David Birkhoff and his mathematical work. Bull. Amer. Math. Soc. 52 (1946), 357--391. https://projecteuclid.org/euclid.bams/1183507914


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References

  • 1. George David Birkhoff, with H. S. Vandiver, On the integral divisors of $a^n b^n$, Ann. of Math. vol. 5 (1904) pp. 173-180.
  • 2. George David Birkhoff, with H. S. Vandiver, On the asymptotic character of the solutions of certain linear differential equations containing a parameter, Trans. Amer. Math. Soc. vol. 9 (1908) pp. 219-231.
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  • 7. George David Birkhoff, with H. S. Vandiver, A theorem on series of orthogonal functions with an application to Sturm-Liouville series, Proc. Nat. Acad. Sci. U.S.A. vol. 3 (1917) pp. 656-659.
  • 8. George David Birkhoff, with H. S. Vandiver, With R. E. Langer, The boundary problems and developments associated with a system of ordinary linear differential equations of first order, Proceedings of the American Academy of Arts and Sciences vol. 58 (1923) pp. 49-128.
  • 9. George David Birkhoff, with H. S. Vandiver, With M. R. Hestenes, Natural isoperimetric conditions in the calculus of variations, Duke Math. J. vol. 1 (1935) pp. 198-286.
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  • 13. George David Birkhoff, with H. S. Vandiver, The generalized Riemann problem for linear differential equations and the allied problems for linear difference and q-difference equations, Proceedings of the American Academy of Arts and Sciences vol. 49 (1913) pp. 521-568.
  • 14. George David Birkhoff, with H. S. Vandiver, Infinite products of analytic matricest Trans. Amer. Math. Soc. vol. 17 (1916) pp. 386-404.
  • 15. George David Birkhoff, with H. S. Vandiver, General theory of linear difference equations, Trans. Amer. Math. Soc. vol. 12(1911) pp. 243-284.
  • 16. George David Birkhoff, with H. S. Vandiver, Formal theory of irregular linear difference equations, Acta Math. vol. 54 (1930) pp. 205-246.
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  • 18. George David Birkhoff, with H. S. Vandiver, Quelques théorèmes sur le mouvement des systèmes dynamiques, Bull. Soc. Math. France vol. 40 (1912) pp. 305-323.
  • 19. George David Birkhoff, with H. S. Vandiver, Proof of Poincaré's geometric theorem, Trans. Amer. Math. Soc. vol. 14 (1913) pp. 14-22.
  • 20. George David Birkhoff, with H. S. Vandiver, The restricted problem of three bodies, Rend. Circ. Mat. Palermo vol. 39 (1915) pp. 265-334. (Awarded the Quirini Stampalia Prize by the Royal Venice Institute of Science.)
  • 21. George David Birkhoff, with H. S. Vandiver, Dynamical systems with two degrees of freedom, Trans. Amer. Math, Soc. vol. 18 (1917) pp. 199-300. (Awarded the first Bôcher Memorial Prize in 1923.)
  • 22. George David Birkhoff, with H. S. Vandiver, Recent advances in dynamics, Science vol. 51 (1920) pp. 51-55.
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  • 28. George David Birkhoff, with P. A. Smith, Une généralisation à n dimensions du dernier théorème de géométrie de Poincaré, C. R. Acad. Sci. Paris vol. 192 (1931) pp. 196-198.
  • 29. George David Birkhoff, with P. A. Smith, Proof of a recurrence theorem for strongly transitive systems; Proof of the ergodic theorem, Proc. Nat. Acad. Sci. U.S.A. vol. 17 (1931) pp. 650-655; 656-660.
  • 30. George David Birkhoff, with B. O. Koopman, Recent contributions to the ergodic theory, Proc. Nat. Acad. Sci. U.S.A. vol. 18 (1932), pp. 279-282.
  • 31. George David Birkhoff, with D. C. Lewis, Jr., On the periodic motions near a given periodic motion of a dynamical system, Annali di Mat. Pura Appl. vol. 12 (1933) pp. 117-133.
  • 32. George David Birkhoff, with D. C. Lewis, Jr., Sur le problème restreint des trois corps (Premier Mémoire), Annali della R. Scuola Normale Superiore Pisa (2) vol. 4 (1935) pp. 267-306.
  • 33. George David Birkhoff, with D. C. Lewis, Jr., Nouvelles recherches sur les systèmes dynamiques, Mémoriae Pont. Acad. Sci. Novi Lyncaei vol. 1 (1935) pp. 85-216. (Crowned by the Pontifical Academy of Science.)
  • 34. George David Birkhoff, with D. C. Lewis, Jr., Sur le problème restreint des trois corps (Second Mémoire), Annali della R. Scuola Normale Superiore Pisa (2) vol. 5 (1936) pp. 1-42.
  • 35.George David Birkhoff, wWith D. C. Lewis, Jr., Some unsolved problems of theoretical dynamics, Science vol. 94 (1941) pp. 598-600.
  • 36. George David Birkhoff, with D. C. Lewis, Jr., Books on relativity, Bull. Amer. Math. Soc. vol. 28 (1922) pp. 215-221.
  • 37. George David Birkhoff, with D. C. Lewis, Jr., The origin, nature and influence of relativity (Lowell Institute Lectures), New York, 1925.
  • 38. George David Birkhoff, with D. C. Lewis, Jr., A theory of matter and electricity, Proc. Nat. Acad. Sci. U.S.A. vol. 13 (1927) pp.160-165.
  • 39. George David Birkhoff, with D. C. Lewis, Jr., The hydrogen atom and the Balmer formula, Proc. Nat. Acad. Sci. U.S.A. vol. 13 (1927) pp. 165-169.
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  • 42. George David Birkhoff, with D. C. Lewis, Jr., Electricity as a fluid, Journal of the Franklin Institute vol. 226 (1938) pp. 315-325.
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