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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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
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References | Additional Information

References [Enhancements On Off] (What's this?)

  • 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


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Article copyright: © Copyright 1972 American Mathematical Society