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Relativity and Geometry - Robert Torretti - Dover Books

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En muy buen estado: Libro que se ha leído y que no tiene un aspecto nuevo, pero que está en un ...
ISBN
9780486690469

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Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486690466
ISBN-13
9780486690469
eBay Product ID (ePID)
731244

Product Key Features

Number of Pages
416 Pages
Publication Name
Relativity and Geometry
Language
English
Subject
Geometry / Differential, Geometry / General, Physics / Relativity, Physics / General
Publication Year
1996
Type
Textbook
Author
Roberto Torretti
Subject Area
Mathematics, Science
Series
Dover Books on Physics Ser.
Format
Trade Paperback

Dimensions

Item Height
0.8 in
Item Weight
18.8 Oz
Item Length
9.3 in
Item Width
6.2 in

Additional Product Features

Intended Audience
College Audience
LCCN
95-049003
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
530.11
Edition Description
Reprint,New Edition
Table Of Content
Introduction1. Newtonian Principles 1.1 The Task of Natural Philosophy 1.2 Absolute Space 1.3 Absolute Time 1.4 Rigid Frames and Coordinates 1.5 Inertial Frames and Newtonian Relativity 1.6 Newtonian Spacetime 1.7 Gravitation2. Electrodynamics and the Aether 2.1 Nineteenth-Century Views on Electromagnetic Action 2.2 The Relative Motion of the Earth and the Aether3. Einstein's 'Electrodynamics of Moving Bodies' 3.1 Motivation 3.2 The Definition of Time in an Inertial Frame 3.3 The Principles of Special Relativity 3.4 The Lorentz Transformation. Einstein's Derivation of 1905 3.5 The Lorentz Transformation. Some Corollaries and Applications 3.6 The Lorentz Transformation. Linearity 3.7 The Lorentz Transformation. Ignatowsky's Approach 3.8 "The "Relativity Theory of Poincaré and Lorentz"4. Minkowski Spacetime 4.1 The Geometry of the Lorentz Group 4.2 Minkowski Spacetime as an Affine Metric Space and as a Riemannian Manifold 4.3 Geometrical Objects 4.4 Concept Mutation at the Birth of Relativistic Dynamics 4.5 A Glance at Spacetime Physics 4.6 The Causal Structure of Minkowski Spacetime5. Einstein's Quest for a Theory of Gravity 5.1 Gravitation and Relativity 5.2 The Principle of Equivalence 5.3 Gravitation and Geometry circa 1912 5.4 Departure from Flatness 5.5 General Covariance and the Einstein-Grossmann Theory 5.6 Einstein's Arguments against Genral Covariance: 1913-14 5.7 Einstein's Papers of November 1915 5.8 Einstein's Field Equations and the Geodesic Law of Motion6. Gravitational Geometry 6.1 Structures of Spacetime 6.2 Mach's Principle and the Advent of Relativistic Cosmology 6.3 The Friedmann Worlds 6.4 Sigularities.7 Disputed Questions 7.1 The Concept of Simultaneity 7.2 Geometric Conventionalism 7.3 Remarks on Time and CausalityAppendixA. Differentiable Manifolds.B. Fibre BundlesC. Linear Connections 1. Vector-valued Differential Forms. 2. The Lie Algebra of a Lie Group. 3. Connections in a Principal Fibre Bundle. 4. Linear Connections. 5. Covariant Differentiation 6. The Torsion and Curvature of a Linear Connection. 7. Geodesics. 8. Metric Connections in Riemannian Manifolds.D. Useful Formulae.NotesReferencesIndex
Synopsis
High-level study discusses Newtonian principles and 19th-century views on electrodynamics and the aether, plus Einstein's electrodynamics of moving bodies, Minkowski spacetime, gravitational geometry, time and causality, and other topics. 1983 edition., This high-level study discusses Newtonian principles and 19th-century views on electrodynamics and the aether. Additional topics include Einstein's electrodynamics of moving bodies, Minkowski spacetime, gravitational geometry, time and causality, and other subjects. Highlights include a rich exposition of the elements of the special and general theories of relativity. 1983 edition., Early in this century, it was shown that the new non-Newtonian physics -- known as Einstein's Special Theory of Relativity -- rested on a new, non-Euclidean geometry, which incorporated time and space into a unified "chronogeometric" structure. This high-level study elucidates the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phase of Relativity. After a discussion of Newtonian principles and 19th-century views on electrodynamics and the aether, the author offers illuminating expositions of Einstein's electrodynamics of moving bodies, Minkowski spacetime, Einstein's quest for a theory of gravity, gravitational geometry, the concept of simultaneity, time and causality and other topics. An important Appendix -- designed to define spacetime curvature -- considers differentiable manifolds, fiber bundles, linear connections and useful formulae. Relativity continues to be a major focus of interest for physicists, mathematicians and philosophers of science. This highly regarded work offers them a rich, "historico-critical" exposition -- emphasizing geometrical ideas -- of the elements of the Special and General Theory of Relativity.
LC Classification Number
QC173.55.T

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