Book Review
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MathSciNet review:
1566971
Full text of review:
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Book Information:
Author:
Marston Morse
Title:
Global variational analysis: Weierstrass integrals on a Riemannian manifold
Additional book information:
Mathematical Notes, Princeton University Press, Princeton, New Jersey, 1976, ix + 255 pp., $6.50.
1. G. D. Birkhoff, Collected mathematical papers, Vols. I, II, III, Amer. Math. Soc., Providence, R.I., 1950.
Wilhelm Klingenberg, Lectures on closed geodesics, 3rd ed., Universität Bonn, Mathematisches Institut, Bonn, 1977. MR 0461361
J. Milnor, Morse theory, Annals of Mathematics Studies, No. 51, Princeton University Press, Princeton, N.J., 1963. Based on lecture notes by M. Spivak and R. Wells. MR 0163331
Marston Morse, The calculus of variations in the large, American Mathematical Society Colloquium Publications, vol. 18, American Mathematical Society, Providence, RI, 1996. Reprint of the 1932 original. MR 1451874, DOI 10.1090/coll/018
Marston Morse, George David Birkhoff and his mathematical work, Bull. Amer. Math. Soc. 52 (1946), 357–391. MR 16341, DOI 10.1090/S0002-9904-1946-08553-5
6. H. Poincaré, Sur les courbes définies par les équation differentielles, part 3, Liouville J. (4) 1 (1885), 167-244.
7. H. Seifert and W. Threlfall, Variationsrechnung im Grossen (Morsesche Theorie), Teubner, Leipzig, 1938.
- 1.
- G. D. Birkhoff, Collected mathematical papers, Vols. I, II, III, Amer. Math. Soc., Providence, R.I., 1950.
- 2.
- W. Klingenberg, Lectures on closed geodesics, 2nd rev. ed., Univ. of Bonn, 1976. MR 0461361
- 3.
- J. W. Milnor, Morse theory, Ann. of Math. Studies, no. 51, Princeton Univ. Press, Princeton, N.J., 1963. MR 29 #634. MR 163331
- 4.
- M. Morse, The calculus of variations in the large, Amer. Math. Soc. Colloq. Publ., vol. 18, Amer. Math. Soc. Providence, R.I., 1934. MR 1451874
- 5.
- M. Morse, George David Birkhoff and his mathematical work, Bull. Amer. Math. Soc. 52 (1946), 357-391; reprinted in Collected Mathematical Papers, Vol. I, Amer. Math. Soc., Providence, R.I., 1950, pp. xxiii-lvii. MR 16341
- 6.
- H. Poincaré, Sur les courbes définies par les équation differentielles, part 3, Liouville J. (4) 1 (1885), 167-244.
- 7.
- H. Seifert and W. Threlfall, Variationsrechnung im Grossen (Morsesche Theorie), Teubner, Leipzig, 1938.
Review Information:
Reviewer:
Stephen Smale
Journal:
Bull. Amer. Math. Soc.
83 (1977), 683-693
DOI:
https://doi.org/10.1090/S0002-9904-1977-14345-0