This book strives to bridge the gap between textbooks used in a core university program consisting typically of basic calculus and general physics and the advanced graduate level books in tensor calculus, relativity, and cosmology. It was conceived to help students master the background necessary for advanced study without the tedious and time-consuming effort to review the relevant portions of advanced textbooks.
This book strives to bridge the gap between textbooks used in a core university program consisting typically of basic calculus and general physics and the advanced graduate level books in tensor calculus, relativity, and cosmology. It was conceived to help students master the background necessary for advanced study without the tedious and time-consuming effort to review the relevant portions of advanced textbooks.
Mirjana Dalarsson is affiliated with the Research and Development program at Ericsson Corporation. She holds a Licentiate degree in Engineering Physics and has more than 25 years of research and teaching experience. Former affiliations in the academic and private sector include the Royal Institute of Technology, Belgrade University, Uppsala University, and ABB Corporation.
Inhaltsangabe
1. IntroductionPart I: Tensor Algebra2. Notation and Systems of Numbers3. Vector Spaces4. Definitions of Tensors5. Relative Tensors6. The Metric Tensor7. Tensors as Linear OperatorsPart II: Tensor Analysis8. Tensor Derivatives9. Christoffel Symbols10. Differential Operators11. Geodesic Lines12. The Curvature TensorPart III: Special Theory of Relativity13. Relativistic Kinematics14. Relativistic Phenomena15. Relativistic Dynamics16. Electromagnetic Fields17. Electromagnetic Field EquationsPart IV: General Theory of Relativity18. Gravitational Fields19. Gravitational Field Equations20. Solutions of Field Equations21. Applications of Schwarzschild Metric22. Gravitational WavesPart V: Elements of Cosmology23. The Robertson-Walker Metric24. The Cosmic Dynamics25. Non-static Models of the Universe26. The Quantum CosmologyBibliographyIndex
1. IntroductionPart I: Tensor Algebra2. Notation and Systems of Numbers3. Vector Spaces4. Definitions of Tensors5. Relative Tensors6. The Metric Tensor7. Tensors as Linear OperatorsPart II: Tensor Analysis8. Tensor Derivatives9. Christoffel Symbols10. Differential Operators11. Geodesic Lines12. The Curvature TensorPart III: Special Theory of Relativity13. Relativistic Kinematics14. Relativistic Phenomena15. Relativistic Dynamics16. Electromagnetic Fields17. Electromagnetic Field EquationsPart IV: General Theory of Relativity18. Gravitational Fields19. Gravitational Field Equations20. Solutions of Field Equations21. Applications of Schwarzschild Metric22. Gravitational WavesPart V: Elements of Cosmology23. The Robertson-Walker Metric24. The Cosmic Dynamics25. Non-static Models of the Universe26. The Quantum CosmologyBibliographyIndex
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