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Online ISSN 1552-4485; Print ISSN 0033-569X
On applying mathematics Reflections and examples
Author:
M. Kac
Journal:
Quart. Appl. Math. 30 (1972), 17-29
DOI:
https://doi.org/10.1090/qam/99743
MathSciNet review:
QAM99743
Full-text PDF Free Access
References | Additional Information
- Saunders Mac Lane, Hamiltonian mechanics and geometry, Amer. Math. Monthly 77 (1970), 570–586. MR 266080, DOI https://doi.org/10.2307/2316733 Joel E. Cohen, Mathematics as metaphor, Science 172, 674–675 (1971) N. D. Mermin and H. Wagner, Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg models, Phys. Rev. Letters 17, 1133–1136 (1960) N. D. Mermin, Absence of ordering on certain classical systems, J. Math. Phys. 8, 1061–1064 (1967) H. E. Stanley, Spherical model as the limit of infinite spin dimensionality, Phys. Rev. 176, 718–722 (1968)
- Elliott H. Lieb and Colin J. Thompson, Phase transition in zero dimensions: A remark on the spherical model, J. Mathematical Phys. 10 (1969), 1403–1406. MR 250632, DOI https://doi.org/10.1063/1.1664980
- Mark Kac, Can one hear the shape of a drum?, Amer. Math. Monthly 73 (1966), no. 4, 1–23. MR 201237, DOI https://doi.org/10.2307/2313748
Additional Information
Article copyright:
© Copyright 1972
American Mathematical Society