Riemannian Geometry.

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In his classic work of geometry, Euclid focused on the properties of flat surfaces. In the age of exploration, mapmakers such as Mercator had to concern themselves with the properties of spherical surfaces. The study of curved surfaces, or non-Euclidean geometry, flowered in the late nineteenth cent...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Eisenhart, Luther Pfahler
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton University Press, 2016.
Colección:Princeton Landmarks in Mathematics and Physics
Temas:
Geometry, Differential.
Riemann surfaces.
Géométrie différentielle.
Surfaces de Riemann.
MATHEMATICS > Geometry > General.
Geometry, Differential
Riemann surfaces
Acceso en línea:Texto completo

MARC

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505 0 0 |t Frontmatter --  |t Preface --  |t Contents --  |t Chapter I. Tensor analysis --  |t Chapter II. Introduction of a metric --  |t Chapter III. Orthogonal ennuples --  |t Chapter IV. The geometry of sub-spaces --  |t Chapter V. Sub-spaces of a flat space --  |t Chapter VI. Groups of motions --  |t Appendices --  |t Bibliography --  |t Index 
520 |a In his classic work of geometry, Euclid focused on the properties of flat surfaces. In the age of exploration, mapmakers such as Mercator had to concern themselves with the properties of spherical surfaces. The study of curved surfaces, or non-Euclidean geometry, flowered in the late nineteenth century, as mathematicians such as Riemann increasingly questioned Euclid's parallel postulate, and by relaxing this constraint derived a wealth of new results. These seemingly abstract properties found immediate application in physics upon Einstein's introduction of the general theory of relativity. In this book, Eisenhart succinctly surveys the key concepts of Riemannian geometry, addressing mathematicians and theoretical physicists alike. 
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