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Differential Geometry of Manifolds
Hardcover
Series: Textbooks in Mathematics
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ISBN13: 9780367180461
Publisher: CRC Press
Published: Dec 17 2019
Pages: 450
Language: English
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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