Ebook BookCurvature in Mathematics and Physics (Dover Books on Mathematics)

[Ebook.DhQH] Curvature in Mathematics and Physics (Dover Books on Mathematics)

[Ebook.DhQH] Curvature in Mathematics and Physics (Dover Books on Mathematics)

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Book Details :
Published on: 2012-09-19
Released on: 2012-08-22
Original language: English

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. Physics Lecture Demonstrations - Lock Haven University Physics Lecture Demonstrations with some problems and puzzles too. Compiled and annotated by Donald Simanek. The internet has many sources of lecture demonstrations ... Tensor -- from Wolfram MathWorld (Arfken 1985 p. 159). Tensor notation can provide a very concise way of writing vector and more general identities. For example in tensor notation the dot product ... From Calculus to Cohomology: De Rham Cohomology and ... Buy From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes on FREE SHIPPING on qualified orders Space-time - Simple English Wikipedia the free encyclopedia Space-time is a mathematical model that joins space and time into a single idea called a continuum. This four-dimensional continuum is known as Minkowski space. Curvature - Wikipedia In mathematics curvature is any of a number of loosely related concepts in different areas of geometry. Intuitively curvature is the amount by which a geometric ... Wholemovement - Folding the Circle for Information As a process Wholemovement is about pattern and pattern formation. In folding circles by observing what is generated thinking about and reflecting on those ... Books in the Mathematical Sciences This site is intended as a resource for university students in the mathematical sciences. Books are recommended on the basis of readability and other pedagogical value. Albert Einstein - Wikipedia Albert Einstein was born in Ulm in the Kingdom of Wrttemberg in the German Empire on 14 March 1879. His parents were Hermann Einstein a salesman and engineer ... General relativity - Wikipedia General relativity (GR also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the ... Best books for mathematical background? - Stack Exchange The last book I read on "background in math for physicists" was "Mathematics for Physics" by Stone and Goldbart and I enjoyed it quite a bit.
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