Name: curvature in mathematics and physics (en Inglés)
Price: 24.78 USD
Availability: InStock
Author: Sternberg, Shlomo
ISBN: 9780486478555

portada curvature in mathematics and physics (en Inglés)

Formato

Libro Físico

Autor

Shlomo Sternberg

Editorial

Dover Publications

Idioma

Inglés

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.5 x 2.3 cm

Peso

0.54 kg.

ISBN

0486478556

ISBN13

9780486478555

Categorías

Geometría diferencial y riemanniana
Topología
Física matemática

curvature in mathematics and physics (en Inglés)

Shlomo Sternberg (Autor) · Dover Publications · Tapa Blanda

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Origen: Reino Unido (Costos de importación incluídos en el precio)

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Reseña del libro "curvature in mathematics and physics (en Inglés)"

This original text for courses in differential geometry is geared toward advanced undergraduate and graduate majors in math and physics. Based on an advanced class taught by a world-renowned mathematician for more than fifty years, the treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Starting with an introduction to the various curvatures associated to a hypersurface embedded in Euclidean space, the text advances to a brief review of the differential and integral calculus on manifolds. A discussion of the fundamental notions of linear connections and their curvatures follows, along with considerations of Levi-Civita's theorem, bi-invariant metrics on a Lie group, Cartan calculations, Gauss's lemma, and variational formulas. Additional topics include the Hopf-Rinow, Myer's, and Frobenius theorems; special and general relativity; connections on principal and associated bundles; the star operator; superconnections; semi-Riemannian submersions; and Petrov types. Prerequisites include linear algebra and advanced calculus, preferably in the language of differential forms.