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• catalog abstract ""In 1905, Albert Einstein offered a revolutionary theoryspecial relativity - to explain some of the most troubling problems in current physics concerning electromagnetism and motion. Soon afterward, Hermann Minkowski recast special relativity essentially as a new geometric structure for spacetime. These ideas are the subject of the first part of the book. The second part develops the main implications of Einstein's general relativity as a theory of gravity rooted in the differential geometry of surfaces."--Jacket.".
• catalog contributor b11535259.
• catalog created "c2000.".
• catalog date "2000".
• catalog date "c2000.".
• catalog dateCopyrighted "c2000.".
• catalog description ""In 1905, Albert Einstein offered a revolutionary theoryspecial relativity - to explain some of the most troubling problems in current physics concerning electromagnetism and motion. Soon afterward, Hermann Minkowski recast special relativity essentially as a new geometric structure for spacetime. These ideas are the subject of the first part of the book. The second part develops the main implications of Einstein's general relativity as a theory of gravity rooted in the differential geometry of surfaces."--Jacket.".
• catalog description "1. Relativity Before 1905. 1.1. Spacetime. 1.2. Galilean Transformations. 1.3. The Michelson-Morley Experiment. 1.4. Maxwell's Equations -- 2. Special Relativity -- Kinematics. 2.1. Einstein's Solution. 2.2. Hyperbolic Functions. 2.3. Minkowski Geometry. 2.4. Physical Consequences -- 3. Special Relativity -- Kinetics. 3.1. Newton's Laws of Motion. 3.2. Curves and Curvature. 3.3. Accelerated Motion -- 4. Arbitrary Frames. 4.1. Uniform Rotation. 4.2. Linear Acceleration. 4.3. Newtonian Gravity. 4.4. Gravity in Special Relativity -- 5. Surfaces and Curvature. 5.1. The Metric. 5.2. Intrinsic Geometry on the Sphere. 5.3. De Sitter Spacetime. 5.4. Curvature of a Surface -- 6. Intrinsic Geometry. 6.1. Theorema Egregium. 6.2. Geodesics. 6.3. Curved Spacetime. 6.4. Mappings. 6.5. Tensors -- 7. General Relativity. 7.1. The Equations of Motion. 7.2. The Vacuum Field Equations. 7.3. The Matter Field Equations -- 8. Consequences. 8.1. The Newtonian Approximation. 8.2. Spherically Symmetric Fields. 8.3. The Bending of Light. 8.4. Perihelion Drift.".
• catalog description "Includes bibliographical references (p. 435-437) and index.".
• catalog extent "xvi,451 p. ;".
• catalog identifier "0387986413 (alk. paper)".
• catalog isPartOf "Undergraduate texts in mathematics".
• catalog issued "2000".
• catalog issued "c2000.".
• catalog language "eng".
• catalog publisher "New York : Springer,".
• catalog subject "530.11 21".
• catalog subject "Algebras, Linear.".
• catalog subject "Calculus of variations.".
• catalog subject "Mathematical physics.".
• catalog subject "QC173.55 .C36 2000".
• catalog subject "Relativity (Physics)".
• catalog subject "Space and time.".
• catalog tableOfContents "1. Relativity Before 1905. 1.1. Spacetime. 1.2. Galilean Transformations. 1.3. The Michelson-Morley Experiment. 1.4. Maxwell's Equations -- 2. Special Relativity -- Kinematics. 2.1. Einstein's Solution. 2.2. Hyperbolic Functions. 2.3. Minkowski Geometry. 2.4. Physical Consequences -- 3. Special Relativity -- Kinetics. 3.1. Newton's Laws of Motion. 3.2. Curves and Curvature. 3.3. Accelerated Motion -- 4. Arbitrary Frames. 4.1. Uniform Rotation. 4.2. Linear Acceleration. 4.3. Newtonian Gravity. 4.4. Gravity in Special Relativity -- 5. Surfaces and Curvature. 5.1. The Metric. 5.2. Intrinsic Geometry on the Sphere. 5.3. De Sitter Spacetime. 5.4. Curvature of a Surface -- 6. Intrinsic Geometry. 6.1. Theorema Egregium. 6.2. Geodesics. 6.3. Curved Spacetime. 6.4. Mappings. 6.5. Tensors -- 7. General Relativity. 7.1. The Equations of Motion. 7.2. The Vacuum Field Equations. 7.3. The Matter Field Equations -- 8. Consequences. 8.1. The Newtonian Approximation. 8.2. Spherically Symmetric Fields. 8.3. The Bending of Light. 8.4. Perihelion Drift.".
• catalog title "The geometry of spacetime : an introduction to special and general relativity / James J. Callahan.".
• catalog type "text".