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An introduction to manifolds / Loring W. Tu.

Por: Tu, Loring W.
Tipo de material: materialTypeLabelLibroSeries Universitext.Fecha de copyright: New York : Springer, 2011Edición: Second edition.Descripción: xviii, 410 pages : illustrations ; 23 cm.ISBN: 9781441973993.Tema(s): Manifolds (Mathematics) | Variedades (Matemáticas) | Cell aggregation -- Mathematics | Agregación celular -- MatemáticasClasificación CDD: 516.07
Contenidos parciales:
A Brief Introduction -- Euclidean Spaces -- Manifolds -- The Tangent Space -- Lie Groups and Lie Algebras -- Differential Forms -- Integration -- De Rham Theory.
Resumen: Manifolds, the higher-dimensional analogues of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics.
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Tipo de ítem Ubicación actual Signatura Copia número Estado Fecha de vencimiento Reserva de ejemplares
Libro académico Libro académico Biblioteca del Campus
516.07 T8834i 2011 (Navegar estantería) Ej. 1 Disponible
Libro académico Libro académico Biblioteca del Campus
516.07 T8834i 2011 (Navegar estantería) Ej. 2 Disponible
Libro académico Libro académico Biblioteca del Campus
516.07 T8834i 2011 (Navegar estantería) Ej. 3 Disponible
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Includes bibliographical references (p. [395]-396) and index.

A Brief Introduction -- Euclidean Spaces -- Manifolds -- The Tangent Space -- Lie Groups and Lie Algebras -- Differential Forms -- Integration -- De Rham Theory.

Manifolds, the higher-dimensional analogues of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics.

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