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Applications of the theory of Lagrangian singularities

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Part of the Mathematics and Its Applications book series (MASS,volume 62)

Abstract

We will give five applications of the classification of Lagrangian singularities: to the method of the stationary phase (that is, to the theory of integrals of rapidly oscillating functions), to the asymptotics of the number of (integer) lattice points in generic large smooth domains, to the cosmological theory of the large scale structure of the Universe, and to the study of perestroikas of optical caustics and shock waves.

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© 1990 Springer Science+Business Media Dordrecht

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Arnold, V.I. (1990). Applications of the theory of Lagrangian singularities. In: Singularities of Caustics and Wave Fronts. Mathematics and Its Applications, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3330-2_2

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  • DOI: https://doi.org/10.1007/978-94-011-3330-2_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0333-2

  • Online ISBN: 978-94-011-3330-2

  • eBook Packages: Springer Book Archive

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