Differential Geometry and General Relativity: Volume 1
This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyze...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Singapore
Springer
2023
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| Edition: | 1st ed. 2023 |
| Series: | Graduate Texts in Physics
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| Subjects: | |
| Summary: | This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book’s content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists |
| Item Description: | Approx. 450 p. 164 illus. - This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book’s content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists Topological Spaces in Brief.- Manifolds and Tensor Fields.- The Riemann (Intrinsic) Curvature Tensor.- Lie Derivative, Killing Fields and Hypersurfaces.- Differential Forms and Their Integrals.- Special Relativity.- Foundations of General Relativity.- Solving the Einstein’s Equation.- Schwarzschild Spacetimes.- Cosmology.- Appendix: The Conversion Between Systems of Geometrized and Nongeometrized Units |
| Physical Description: | 546 p 1126 grams |
| ISBN: | 9789819900213 |
Staff View
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| id | DE-604.BV049329315 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T22:44:55Z |
| indexdate | 2024-07-10T10:01:42Z |
| institution | BVB |
| isbn | 9789819900213 |
| language | English |
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| physical | 546 p 1126 grams |
| publishDate | 2023 |
| publishDateSearch | 2023 |
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| publisher | Springer |
| record_format | marc |
| series2 | Graduate Texts in Physics |
| spelling | Liang, Canbin Verfasser aut Differential Geometry and General Relativity Volume 1 1st ed. 2023 Singapore Springer 2023 546 p 1126 grams txt rdacontent n rdamedia nc rdacarrier Graduate Texts in Physics Approx. 450 p. 164 illus. - This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book’s content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists Topological Spaces in Brief.- Manifolds and Tensor Fields.- The Riemann (Intrinsic) Curvature Tensor.- Lie Derivative, Killing Fields and Hypersurfaces.- Differential Forms and Their Integrals.- Special Relativity.- Foundations of General Relativity.- Solving the Einstein’s Equation.- Schwarzschild Spacetimes.- Cosmology.- Appendix: The Conversion Between Systems of Geometrized and Nongeometrized Units This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book’s content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists bicssc bisacsh Geometry, Differential Mathematical physics Cosmology Gravitation Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Hardcover, Softcover / Physik, Astronomie/Theoretische Physik Allgemeine Relativitätstheorie (DE-588)4112491-1 s Differentialgeometrie (DE-588)4012248-7 s DE-604 Zhou, Bin Sonstige oth Jia, Weizhen Sonstige oth |
| spellingShingle | Liang, Canbin Differential Geometry and General Relativity Volume 1 bicssc bisacsh Geometry, Differential Mathematical physics Cosmology Gravitation Differentialgeometrie (DE-588)4012248-7 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4112491-1 |
| title | Differential Geometry and General Relativity Volume 1 |
| title_auth | Differential Geometry and General Relativity Volume 1 |
| title_exact_search | Differential Geometry and General Relativity Volume 1 |
| title_exact_search_txtP | Differential Geometry and General Relativity Volume 1 |
| title_full | Differential Geometry and General Relativity Volume 1 |
| title_fullStr | Differential Geometry and General Relativity Volume 1 |
| title_full_unstemmed | Differential Geometry and General Relativity Volume 1 |
| title_short | Differential Geometry and General Relativity |
| title_sort | differential geometry and general relativity volume 1 |
| title_sub | Volume 1 |
| topic | bicssc bisacsh Geometry, Differential Mathematical physics Cosmology Gravitation Differentialgeometrie (DE-588)4012248-7 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| topic_facet | bicssc bisacsh Geometry, Differential Mathematical physics Cosmology Gravitation Differentialgeometrie Allgemeine Relativitätstheorie |
| work_keys_str_mv | AT liangcanbin differentialgeometryandgeneralrelativityvolume1 AT zhoubin differentialgeometryandgeneralrelativityvolume1 AT jiaweizhen differentialgeometryandgeneralrelativityvolume1 |