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    CURVED SPACES - FROM CLASSICAL GEOMETRIES TO ELEMENTARY DIFFERENTIAL GEOMETRY
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    515378

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    Sinopse

    This self-contained textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topologicaltriangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces equipped with Riemannian metrics. Themes running throughout include those of geodesic curves, polygonal approximations to triangulations, Gaussian curvature, and the link to topology provided by the Gauss-Bonnet theorem. Numerous diagrams help bring the key points to life and helpful examples and exercises are included to aid understanding. Throughout the emphasis is placed on explicit proofs, making this text ideal for any student with abasic background in analysis and algebra.
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    Especificações

    ISBN9780521713900
    Livro disponível - pronta entregaNão
    Tipo itemLivro Importado
    Número de páginas196
    Número da edição1ª EDIÇÃO - 2008
    Código Interno515378
    Código de barras9780521713900
    AcabamentoPAPERBACK
    AutorWILSON, P. M. H.
    EditoraCAMBRIDGE UNIVERSITY PRESS
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