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Ce livre est une invitation à découvrir le lien profond qui unit la relativité générale (la théorie de la gravitation d'Einstein) et la géométrie différentielle, branche de la géométrie issue de la découverte des géométries non-euclidiennes par Gauss et Riemann au XIXe siècle. En abordant la relativité par ses aspects géométriques, ce livre montre que les phénomènes surprenants de la relativité, tels que le paradoxe des jumeaux, les boucles temporelles, les trous noirs, les trous de ver, ne sont que des conséquences de la géométrie de l'espace-temps. Le livre explore également la fascinante relation entre les mathématiques et la physique à travers une des théories les plus passionnantes de notre siècle, la relativité générale, sujet particulièrement d'actualité depuis les récentes observations des ondes gravitationnelles et les observations de plus en plus directes des trous noirs. Il montre ainsi que les mathématiques, loin d'être simplement un « outil », sont une des sources d'inspiration les plus fécondes des physiciens théoriciens. Ce livre offrira une introduction plaisante aux mathématiques de la relativité, autant à l'étudiant en sciences qu'au lecteur curieux et motivé par les découvertes scientifiques les plus fascinantes de notre époque.
Black holes (Astronomy) --- Mathematical physics. --- Relativity (Physics) --- Physical mathematics --- Physics --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Frozen stars --- Compact objects (Astronomy) --- Gravitational collapse --- Stars --- Mathematics --- Geometry, Differential. --- Cosmology. --- Relativité (physique) --- Géométrie différentielle. --- Trous noirs (astronomie) --- Physique mathématique. --- Cosmologie. --- Relativité (physique) --- Géométrie différentielle. --- Physique mathématique.
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Theory of relativity. Unified field theory --- Relativity (Physics) --- Relativité (Physique) --- Periodicals --- Périodiques --- Théorie de la relativité --- Relativity Theory. --- physics --- relativity --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Théorie de la relativité --- Atomic physics --- Relativitat (Física)
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"Relativistic Astrophysics and Cosmology" have developed into important and fruitful research areas with a hitherto unprecented public interest. The year 2005, which marked the 100th anniversary of the 'annus mirabilis', that year in which Albert Einstein published three of his most important scientific papers, was the perfect opportunity to review and to present the current scientific understanding of relativistic topics including cosmological models, cosmology related measurements, the large scale properties of the Universe, dark matter and dark energy, the theory of gravity, black holes, theory and measurements, active galactic nuclei, clusters of galaxies, jets. Each of these subjects is addressed and the book represents a useful reference tool both for the expert and the new-comer in these fields.
Relativistic astrophysics --- Cosmology --- Relativity (Physics) --- Astrophysique relativiste --- Cosmologie --- Relativité (Physique) --- Congresses. --- Congrès --- Cosmology. --- Relativistic astrophysics. --- Relativity (Physics). --- Astrophysics --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Physics. --- Gravitation. --- Astronomy. --- Astrophysics. --- Classical and Quantum Gravitation, Relativity Theory. --- Astronomy, Astrophysics and Cosmology.
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Aimed at both physics students and non-science majors, this unique book explains Einstein's special theory of relativity pictorially, using diagrams rather than equations. The diagrams guide the reader, step-by-step, from the basics of relativity to advanced topics including the addition of velocities, Lorentz contraction, time dilation, the twin paradox, Doppler shift, and Einstein's famous equation E=mc². The distinctive figures throughout the book enable the reader to visualize the theory in a way that cannot be fully conveyed through equations alone. The illustrative explanations in this book maintain the logic and rigour necessary for physics students, yet are simple enough to be understood by non-scientists. The book also contains entertaining problems which challenge the reader's understanding of the materials covered.
Relativity (Physics) --- Theory of relativity. Unified field theory --- Relativité (Physique) --- Pictorial works --- Ouvrages illustrés --- Relativity. --- Relationism. --- Existentialism --- Relation (Philosophy) --- Relativity --- Relativism --- Knowledge, Theory of --- Reality --- Relationism --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Relativity (Physics) - Pictorial works
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"Acta physica Polonica B covers the following areas of physics: general and mathematical physics ; particle physics and field theory ; nuclear physics ; theory of relativity and astrophysics ; statistical physics. Note that a sister journal, Acta Physica Polonica A, published by the Institute of Physics, Polish Academy of Sciences, covers all other areas of physics"--Home page.
nuclear physics --- Nuclear physics --- Quantum field theory --- Relativity (Physics) --- Physique nucléaire --- Théorie quantique des champs --- Relativité (Physique) --- Periodicals --- Périodiques --- Physics --- #ANTIL9610 --- Mathematical Sciences --- Mathematical Physics --- Astrophysics --- Nuclear Physics --- Particle Physics --- General and Others --- Mathematical Sciences. --- Particle Physics. --- Physics. --- Physique nucléaire --- Théorie quantique des champs --- Relativité (Physique) --- Périodiques --- DOAJ-E EJPHYSI EPUB-ALPHA-A EPUB-PER-FT --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Kernfysica --- kernfysica --- Física
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Presenting the history of space-time physics, from Newton to Einstein, as a philosophical development DiSalle reflects our increasing understanding of the connections between ideas of space and time and our physical knowledge. He suggests that philosophy's greatest impact on physics has come about, less by the influence of philosophical hypotheses, than by the philosophical analysis of concepts of space, time and motion, and the roles they play in our assumptions about physical objects and physical measurements. This way of thinking leads to interpretations of the work of Newton and Einstein and the connections between them. It also offers ways of looking at old questions about a priori knowledge, the physical interpretation of mathematics, and the nature of conceptual change. Understanding Space-Time will interest readers in philosophy, history and philosophy of science, and physics, as well as readers interested in the relations between physics and philosophy.
Space and time --- History. --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Relativity (Physics) --- History --- Fourth dimension. --- Mathematics --- Time travel --- Arts and Humanities --- Space and time - History. --- Relativité (physique) --- Espace-temps --- Histoire
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This book is primarily intended for Mathematicians, but students in the physical sciences will find here information not usually available in physics texts.The main aim of this book is to provide a unified mathematical account of the conceptual foundations of 20th-Century Physics, in a form suitable for a one-year survey course in Mathematics or Mathematical Physics. Emphasis is laid on the interlocked historical development of mathematical and physical ideas.
Mathematical physics --- Physics --- Relativity (Physics) --- Quantum theory --- Physique mathématique --- Physique --- Relativité (Physique) --- Théorie quantique --- ELSEVIER-B EPUB-LIV-FT --- Mathematical physics. --- Physics. --- Quantum theory. --- 514.7 --- 53 --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- 514.7 Differential geometry. Algebraic and analytic methods in geometry --- Differential geometry. Algebraic and analytic methods in geometry --- Physical mathematics --- Mathematics
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Pulsars are rapidly spinning neutron stars, the collapsed cores of once massive stars that ended their lives as supernova explosions. In this book, Geoff McNamara explores the history, subsequent discovery and contemporary research into pulsar astronomy. The story of pulsars is brought right up to date with the announcement in 2006 of a new breed of pulsar, Rotating Radio Transients (RRATs), which emit short bursts of radio signals separated by long pauses. These may outnumber conventional radio pulsars by a ratio of four to one. Geoff McNamara ends by pointing out that, despite the enormous success of pulsar research in the second half of the twentieth century, the real discoveries are yet to be made including, perhaps, the detection of the hypothetical pulsar black hole binary system by the proposed Square Kilometre Array - the largest single radio telescope in the world.
Popular Science. --- Popular Science in Astronomy. --- Astronomy, Astrophysics and Cosmology. --- Astronomy. --- Relativity and Cosmology. --- Science (General). --- Relativity (Physics). --- Astronomie --- Relativité (Physique) --- Pulsars. --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Astronomy - General --- Astrophysics --- Radiation sources. --- Sources of radiation --- Pulsating radio sources --- Popular works. --- Gravitation. --- Astrophysics. --- Cosmology. --- Observations, Astronomical. --- Astronomy --- Astronomy, Observations and Techniques. --- Classical and Quantum Gravitation, Relativity Theory. --- Observations. --- Astronomical observations --- Observations, Astronomical --- Deism --- Metaphysics --- Astronomical physics --- Cosmic physics --- Physics --- Physical sciences --- Space sciences --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Properties --- Quantum optics --- Radiation --- Radiation sources --- Neutron stars --- Astronomy—Observations.
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Today, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view that a theory-based prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake serious investigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students and specialist researchers alike.
Relativity (Physics) --- Mathematical physics. --- Relativité (Physique) --- Physique mathématique --- Mathematics --- Mathématiques --- Mathematical physics --- Physics --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Atomic Physics --- Astrophysics --- Mathematics. --- Physical mathematics --- Physics. --- Differential geometry. --- Manifolds (Mathematics). --- Complex manifolds. --- Gravitation. --- Classical and Quantum Gravitation, Relativity Theory. --- Mathematical Methods in Physics. --- Differential Geometry. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Numerical and Computational Physics. --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Global differential geometry. --- Cell aggregation --- Numerical and Computational Physics, Simulation. --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Geometry, Differential --- Analytic spaces --- Manifolds (Mathematics) --- Topology --- Differential geometry --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Properties
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This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been re
Differential geometry. Global analysis --- Calculus of tensors --- Manifolds (Mathematics) --- Relativity (Physics) --- Semi-Riemannian geometry --- #WPLT:dd.Prof.F.Symons --- 514.84 --- 515.165 --- 517.518.12 --- Geometry, Differential --- Topology --- 517.518.12 Theory of integration. Riemann integral. Lebesgue integral. Stieltjes integral --- Theory of integration. Riemann integral. Lebesgue integral. Stieltjes integral --- 515.165 Topology of smooth manifolds provided with additional structure. Kähler manifolds. Riemann manifolds --- Topology of smooth manifolds provided with additional structure. Kähler manifolds. Riemann manifolds --- 514.84 Geometric methods in quantum mechanics and in the theory of elementary particles --- Geometric methods in quantum mechanics and in the theory of elementary particles --- Absolute differential calculus --- Analysis, Tensor --- Calculus, Absolute differential --- Calculus, Tensor --- Tensor analysis --- Tensor calculus --- Geometry, Infinitesimal --- Vector analysis --- Spinor analysis --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Pseudo-Riemannian geometry --- Géométrie différentielle --- Relativité (physique) --- Geometry, Riemannian --- Riemann, Géométrie de --- Variétés (Mathématiques) --- Calcul tensoriel --- Relativité (Physique) --- Geometry, Riemannian. --- Calculus of tensors. --- Manifolds (Mathematics). --- Relativity (Physics). --- Semi-Riemannian geometry. --- Riemann geometry --- Riemannian geometry --- Generalized spaces --- Geometry, Non-Euclidean --- Géometrie différentielle globale --- Géometrie différentielle
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