Differential Geometry of Manifolds.
Differential Geometry of Manifolds, Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general. The book provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together classical and modern formulations. It in...
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| Online Access: |
Full Text (via Taylor & Francis) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Milton :
CRC Press LLC,
2019.
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| Edition: | 2nd ed. |
| Series: | Textbooks in mathematics (Boca Raton, Fla.)
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| Subjects: |
| Summary: | Differential Geometry of Manifolds, Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general. The book provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together classical and modern formulations. It introduces manifolds in a both streamlined and mathematically rigorous way while keeping a view toward applications, particularly in physics. The author takes a practical approach, containing extensive exercises and focusing on applications, including the Hamiltonian formulations of mechanics, electromagnetism, string theory. The Second Edition of this successful textbook offers several notable points of revision. New to the Second Edition: New problems have been added and the level of challenge has been changed to the exercises Each section corresponds to a 60-minute lecture period, making it more user-friendly for lecturers Includes new sections which provide more comprehensive coverage of topics Features a new chapter on Multilinear Algebra. |
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| Physical Description: | 1 online resource (451 pages) |
| ISBN: | 9780429607820 0429607822 9780429059292 0429059299 9780429602306 0429602308 |