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    STABLE MAPPINGS AND THEIR SINGULARITIES

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    Sinopse

    This book aims to present to first and second year graduate students a beautiful and relatively accessible field of mathematics-the theory of singu­ larities of stable differentiable mappings. The study of stable singularities is based on the now classical theories of Hassler Whitney, who determined the generic singularities (or lack of them) of Rn ~ Rm (m ~ 2n - 1) and R2 ~ R2, and Marston Morse, for mappings who studied these singularities for Rn ~ R. It was Rene Thorn who noticed (in the late '50's) that all of these results could be incorporated into one theory. The 1960 Bonn notes of Thom and Harold Levine (reprinted in [42]) gave the first general exposition of this theory. However, these notes preceded the work of Bernard Malgrange [23] on what is now known as the Malgrange Preparation Theorem-which allows the relatively easy computation of normal forms of stable singularities as well as the proof of the main theorem in the subject-and the definitive work of John Mather. More recently, two survey articles have appeared, by Arnold [4] and Wall [53], which have done much to codify the new material; still there is no totally accessible description of this subject for the beginning student. We hope that these notes will partially fill this gap. In writing this manuscript, we have repeatedly cribbed from the sources mentioned above-in particular, the Thom-Levine notes and the six basic papers by Mather.

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    ISBN9780387900735
    Pré vendaNão
    Peso233g
    Autor para link
    Livro disponível - pronta entregaNão
    Dimensões23 x 16 x 1
    IdiomaInglês
    Tipo itemLivro Importado
    Número de páginas209
    Número da edição1ª EDIÇÃO - 1974
    Código Interno503294
    Código de barras9780387900735
    AcabamentoHARDCOVER
    AutorGUILLEMIN, VICTOR W. | GOLUBITSKY, M.
    EditoraSPRINGER VERLAG *
    Sob encomendaSim

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