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Periodical
Living reviews in relativity.
Author:
ISSN: 14338351 Year: 1997 Publisher: Potsdam, Germany : [Berlin] : by the Albert-Einstein-Institut, Max-Planck-Institut für Gravitationsphysik, Springer International Publishing

Mathematical and conceptual foundations of 20th-century physics
Author:
ISBN: 0444875859 9780444875853 9780080872117 0080872115 1281788155 9786611788155 Year: 1984 Volume: 100 Publisher: Amsterdam ; New York : North-Holland,

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Abstract

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.

Semi-Riemannian geometry : with applications to relativity
Author:
ISBN: 0125267401 9780080570570 0080570577 9780125267403 1281768766 9786611768768 Year: 1983 Publisher: New York : Academic Press,

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Abstract

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

Keywords

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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