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The aim is to make manageable what would otherwise be regarded as hard; to make derivations as simple as possible and physical ideas as transparent as possible. Lorentz invariants and four-vectors are introduced early on, but tensor notation is postponed until needed. In addition to the more basic ideas such as Doppler effect and collisions, the text introduces more advanced material such as radiation from accelerating charges, Lagrangian methods, the stress-energy tensor, and introductory General Relativity, including Gaussian curvature, the Schwarzschild solution, gravitational lensing, and black holes. A second volume will extend the treatment of General Relativity somewhat more thoroughly, and also introduce Cosmology, spinors, and some field theory. Relativity Made Relatively Easy presents an extensive study of special relativity and a gentle (but exact) introduction to general relativity for undergraduate students of physics. Assuming almost no prior knowledge, it allows the student to handle all the Relativity needed for a university course, with explanations as simple, thorough, and engaging as possible.

Theory of relativity. Unified field theory --- Special relativity (Physics) --- Relativity (Physics) --- Relativité générale (physique) --- Relativité restreinte (physique)

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“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.” [Publisher]

Curvature. --- Semi-Riemannian geometry. --- Geometry, Differential. --- Differential calculus. --- Algebras, Linear. --- Relativity (Physics). --- Courbure. --- Géométrie différentielle. --- Calcul différentiel. --- Algèbre linéaire. --- Relativity (Physics) --- Relativité (physique) --- Géométrie de Riemann.

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A mind-bending book about modern physics, quantum mechanics, the fate of stars and the deep mysteries of black holes. What happens when something is sucked into a black hole? Does it disappear? Three decades ago, a young physicist named Stephen Hawking claimed it did--and in doing so put at risk everything we know about physics and the fundamental laws of the universe. Most scientists didn?t recognize the import of Hawking?s claims, but Leonard Susskind and Gerard t?Hooft realized the threat, and responded with a counterattack that changed the course of physics. This is the story of their united effort to reconcile Hawking?s revolutionary theories with their own sense of reality--effort that would eventually result in Hawking admitting he was wrong, paying up, and Susskind and t?Hooft realizing that our world is a hologram projected from the outer boundaries of space.--From publisher description.

Quantum theory. --- General relativity (Physics) --- Black holes (Astronomy) --- Space and time. --- Théorie quantique --- Relativité générale (Physique) --- Trous noirs (Astronomie) --- Espace et temps --- Hawking, Stephen,