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General relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required.

General relativity (Physics) --- Black holes (Astronomy) --- Gravitational waves. --- Cosmology. --- Relativité générale (Physique) --- Trous noirs (Astronomie) --- Ondes gravitationnelles --- Cosmologie --- Relativity (Physics) --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Special relativity (Physics) --- Science. --- Physics.

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Mathematics --- Problems, exercises, etc.

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Geometry, Differential --- Géométrie différentielle

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Mathematics --- Mathématiques --- Problèmes et exercices

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Functional analysis. --- Analyse fonctionnelle --- Distributions, Théorie des (analyse fonctionnelle) --- Espaces de sobolev